The maximum mass of the plate that can remain glued to the bar can be determined using the maximum force that the glue can withstand.
The wooden bar rotates in a vertical circle around an axis through its center with a constant period of 2.50 seconds. The maximum force that can be exerted on each metal plate is equal to the centrifugal force acting on it due to its rotation around the axis. The centrifugal force is given by the equation Fc = mv^2/r, where Fc is the centrifugal force, m is the mass of the metal plate, v is the velocity of the metal plate, and r is the radius of the circle. In this case, the radius of the circle is equal to half the length of the wooden bar, i.e., r = 0.75 m. The velocity of the metal plate can be calculated from the equation v = 2πr/T, where T is the period of rotation. Substituting the given values, we get: v = (2π)(0.75 m)/(2.50 s) = 4.71 m/s. The maximum force that can be exerted on each metal plate is therefore: Fc = m(4.71 m/s)^2/(0.75 m) = 29.37 mN. To ensure that the maximum force does not exceed 58.0 N, the maximum mass of each metal plate can be calculated by dividing the maximum force by the acceleration due to gravity (9.81 m/s^2): mmax = 58.0 N/(2 × 9.81 m/s^2) = 2.96 kg. Therefore, each metal plate can have a maximum mass of 2.96 kg to avoid exceeding the maximum force that the glue can withstand.
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Peter is heating water on the stove to boil eggs for a picnic. How much heat is required to raise the temperature of his 10 kg vat of water from 20°C to 100°C?
Answer:
The specific heat capacity of water is 4.184 J/g°C, and we need to find the amount of heat required to raise the temperature of 10 kg (or 10,000 g) of water from 20°C to 100°C.
The formula for calculating the amount of heat required is:
Q = m * c * ΔT
where:
Q = heat energy (in Joules)
m = mass (in grams)
c = specific heat capacity (in J/g°C)
ΔT = change in temperature (in °C)
We can start by calculating the change in temperature:
ΔT = 100°C - 20°C = 80°C
Then, we can plug in the values and solve for Q:
Q = 10,000 g * 4.184 J/g°C * 80°C
Q = 3,347,200 J
Therefore, Peter needs 3,347,200 Joules of heat to raise the temperature of his 10 kg vat of water from 20°C to 100°C.
What is the electric field strength between two parallel charged plates that are 3.50 cm apart and have a potential difference of 18.0 V?
The electric field strength between the two parallel charged plates is 514.29 V/m.
How do you determine the electric field strength between two parallel charged plates?The electric field strength (E) between two parallel charged plates can be determined using the formula:
E = V / d
where V is the potential difference (in volts) between the plates, and d is the distance (in meters) separating them.
In this case, the potential difference V is 18.0 V and the distance d is 3.50 cm. First, we need to convert the distance from centimeters to meters:
d = 3.50 cm x (1 m / 100 cm) = 0.035 m
Now we can calculate the electric field strength:
E = 18.0 V / 0.035 m = 514.29 V/m
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A block weighing 12.0 newtons is on a ramp inclined at 30.0° to the horizontal. A 3.0-newton force of friction, Fƒ, acts on the block as it is pulled up the ramp at constant velocity with force F, which is parallel to the ramp, as shown in the diagram. What is the magnitude of force F?
A) 9.0N
B) 10.0N
C) 12.0 N
D) 15.0N
the block when it is being hauled up the slope at a constant speed using force F perpendicular to a ramp, with a force of 10.0N.
What is force, and what is its unit?Force is indeed a physical phenomenon that alters or has the potential to alter an object's shape, its state of motion, or both.
What is force, and what is its equation?According to Newton's second law of motion, the force corresponds to the momentum change divided by the time change. Force equals mass times acceleration, or F = m x a, for a constant mass.
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if you were in a rocket ship travelling away from earth at a speed close to the speed of light, what changes would you notice in the clock and volume of your friend who stayed on earth?
If you were in a rocket ship traveling away from earth at a speed close to the speed of light, then the changes that you would notice in the clock and the volume of your friend who stayed on earth are time dilation and volume dilation.
Time dilation: According to special relativity theory, time dilation occurs as an object's velocity approaches the speed of light. The faster an object travels, the slower its internal clock ticks. Time would seem to pass more slowly for you than it would for your friend on earth. The time on the rocket would appear to be slower than the time on the earth, and the rocket's clock would tick more slowly as seen from the earth.
Volume dilation: Volume dilation is a term used to describe a length contraction or expansion of an object along the direction of motion. According to the Lorentz transformation, as the velocity of an object approaches the speed of light, its length appears to shrink in the direction of motion.
This would result in the volume of the object appearing to decrease in size as well. Your friend on earth would notice that your rocket ship appears to be shorter than it really is, and its volume would appear to be less.
Therefore, time dilation and volume dilation are the two factors that would be noticed.
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What are two reasons digital storage of data is more secure than analog
storage?
A. Digital data can be encoded by a computer program.
B. Digital data can be protected by a fingerprint or facial ID.
C. Access to digital data requires a stronger password.
D. Digital data are easy to change with a computer program.
SUBMIT
Digital data can be encoded by a computer program and are easy to change by a computer program. Therefore, options A and D are correct.
Why are the given two options correct?A and D are two reasons why digital storage of data is more secure than analogue storage.
A - Digital data can be encoded using various encryption techniques that make it more difficult for unauthorized individuals to access or interpret the data.
D - Digital data are easy to change or modify using a computer program, but this can also be a security advantage as it allows for quick updates and corrections to be made, and changes can be tracked and logged for security purposes.
B and C are not necessarily unique to digital storage, and may also be applicable to analogue storage. Fingerprint or facial ID can be used to protect physical storage devices, and a strong password can also be used to secure both digital and analogue storage.
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Answer:
A. Digital data can be encoded by a computer program.
B. Digital data can be protected by a fingerprint or facial ID.
Explanation:
did quiz
as the heavier bucket moves downward to the ground, what will have been the change in mechanical energy of a system consisting of the lighter bucket and the earth, and what will have been the tension in the rope? give your answer as an ordered pair, with the change in mechanical energy first, followed by a comma, followed by the tension in the rope.
The change in mechanical energy of a system consisting of the heavier bucket and the earth is the sum of the potential energy of the bucket, minus the potential energy of the earth, which is the same as the weight of the heavier bucket multiplied by the distance the bucket fell.
The change in mechanical energy is the external work provided to the system. The potential energy of the bucket decreases. The work done by the earth is (weight of the heavier bucket x distance the bucket fell).
The tension in the rope is equal to the weight of the heavier bucket.
Therefore, the ordered pair of the change in mechanical energy and tension in the rope is (weight of the heavier bucket x distance the bucket fell, weight of the heavier bucket).
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State the function of the following electrical instrument. Rheostat
The function of a rheostat is to vary the resistance in an electrical circuit, thereby controlling the amount of current flowing through the circuit.
A rheostat is an electrical instrument that is used to vary the resistance in a circuit. It is a variable resistor that can be adjusted to control the amount of current flowing through the circuit. By increasing or decreasing the resistance, a rheostat can regulate the current flow, which can be useful in various applications.
For example, in a lighting circuit, a rheostat can be used to control the brightness of a bulb by adjusting the amount of current flowing through it. Similarly, in a motor control circuit, a rheostat can be used to adjust the speed of a motor by regulating the amount of current that flows through it. Overall, the function of a rheostat is to provide variable resistance in a circuit, allowing for the control of current flow and the regulation of various electrical devices.
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Ms. Johnson points a laser pointer from a certain angle toward the bottom of an empty aquarium. Her students see the reflection of its rays at the bottom of the aquarium.
A hand holding a laser pointer toward the bottom of an aquarium and the end of the beam is reflected at the bottom of the aquarium.
She then partially fills the aquarium and points the laser pointer from the same height and angle as before.
A laser pointer pointing toward water in an aquarium.
Predict whether or not the reflected spot of light will be in the same place as it was when she pointed the laser pointer into the empty aquarium. Explain your reasoning.
Answer:
The reflected spot will appear to be closer than when the aquarium was empty.
N1 sin θ1 = N2 sin θ2 N1 is in air and equals 1, N2 is greater than one
θ2 is measured from the vertical and the ray is less than θ1
The distance to spot is less so it appears closer
(Consider a spot directly below the pointer L1 = N2 L2)
If N2 = 4/3 then L2 would be 3/4 L1
onsider the two statements below. Which of the following best explains (I) and (II)? (I) the Ka of HXO2 is greater than the Ka of HYO2, but (II) the Ka of HX is less than the Ka of HY (A) (I) X is more electronegative than Y, and (II) the H-X bond is shorter than the H-Y bond (B) (I) X is less electronegative than Y, and (II) the H-X bond is longer than the H-Y bond (C) (I) the HX bond is weaker than the H-Y bond, and (II) X is more electronegative than Y (D) (I) the HX bond is stronger than the H-Y bond, and (II) X is less electronegative than Y
(I) The Ka of HXO2 is greater than the Ka of HYO2 because the HX bond is weaker than the H-Y bond. This is because X is more electronegative than Y, which means the electron density in the H-X bond is more attracted to X, making the bond weaker than the H-Y bond. The best explaination is option (C).
(II) The Ka of HX is less than the Ka of HY because the H-X bond is longer than the H-Y bond. This is because X is more electronegative than Y, which means that the electron density in the H-X bond is more attracted to X, causing it to be longer than the H-Y bond.
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in the diagram, a conducting loop has a current running through it counter-clockwise. in which direction is the magnetic field inside of the loop going to be pointing?
Answer:
Place the thumb of your right hand in the direction of the current and the fingers will be pointing "upwards" - this is handy for long straight wires
How far will the driver be behind the vehicle in front at 30mph ? Give your answer to 2 significant figures
The driver should be at least 39 meters behind the vehicle in front at 30mph. Rounded to 2 significant figures, this is 39 meters.
Meters are a unit of length used in the International System of Units (SI) to measure distance or displacement. A meter is defined as the length of the path traveled by light in a vacuum during a time interval of 1/299,792,458 of a second. This definition provides a precise and universal standard for the measurement of length, as the speed of light is constant and independent of the observer.
Meters are commonly used to measure the length or width of objects, as well as the distance between two points. They are also used in scientific fields such as physics, where they are used to measure quantities such as wavelength and amplitude.
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Problem 7.4 Two capacitors, each of capacitance 2 μF are connected in parallell. If the p.d. across them is 120V, calculate the charge on each capacitor.
Answer:
240 μC
Explanation:
When two capacitors are connected in parallel, the effective capacitance is the sum of the individual capacitances. In this case, the effective capacitance is:
C = C1 + C2 = 2 μF + 2 μF = 4 μF
The charge on a capacitor is related to the capacitance and the potential difference across it by the equation:
Q = C × V
where Q is the charge, C is the capacitance, and V is the potential difference.
Using this equation, the charge on each capacitor can be calculated as follows:
Q1 = C1 × V = 2 μF × 120 V = 240 μC
Q2 = C2 × V = 2 μF × 120 V = 240 μC
Therefore, the charge on each capacitor is 240 μC.
The shock waves on a vehicle in supersonic flight cause a component of drag called supersonic wave drag D_w. Define the wave-drag coefficient as C_D, w = D_w/q_infinity S, where S is a suitable reference area for the body. In supersonic flight, the flow is governed in part by its thermodynamic properties, given by the specific heats at constant pressure C_p and at constant volume C_v. Define the ratio C_p/C_v identical to gamma. Using Buckingham's pi theorem, show that C_D, w = f(M_infinity, gamma). Neglect the influence of friction.
The wave drag coefficient, C_D,w, is a component of drag experienced by a vehicle during supersonic flight and is defined as the ratio of the wave drag D_w to the dynamic pressure q_infinity times the reference area S. This wave drag is a result of the shock waves created by the vehicle travelling at supersonic speeds, and is governed by thermodynamic properties such as specific heats at constant pressure (C_p) and constant volume (C_v).
The ratio of these two specific heats, C_p/C_v, is equal to gamma, and with the use of Buckingham's pi theorem, C_D,w can be expressed as a function of M_infinity and gamma. Friction can be ignored due to the supersonic speeds of the vehicle.
To express C_D,w as a function of M_infinity and gamma using Buckingham's pi theorem, the independent parameters of the problem must first be identified. The independent parameters of this problem are the Mach number M_infinity, the reference area S, and the ratio of the specific heats C_p/C_v, also known as gamma. With these identified, the dependent parameter of C_D,w can be expressed as a function of the independent parameters by constructing a dimensionless group or pi group.
The pi group for C_D,w is formed by the multiplication of the independent parameters. For example, the group can be expressed as (M_infinity * S * (C_p/C_v)). This group can then be rearranged to C_D,w = f(M_infinity * S * (C_p/C_v)). Since gamma is equal to the ratio of the specific heats, the pi group can be simplified to C_D,w = f(M_infinity, gamma). This shows that C_D,w is a function of the Mach number and gamma, and that friction can be neglected.
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electricity flows into hair dryer when it is plugged into a socket. if electricity has been added to the hair dryer ,why doesn't it keep operating for a while after being unplugged?
A hair dryer uses the electricity from the power source to run its motor and heating element when it is hooked into an electrical outlet. Heat and kinetic energy are created from this electrical energy.
I was using my hair dryer when the power went off, why?One of the most frequent causes of circuit breakers being tripped by a hairdryer is an overloaded circuit. A circuit overload occurs when there are several high-powered gadgets drawing 15 to 20 amps of electricity simultaneously on the same circuit.
Does a hair dryer draw power?A conventional in-room, wall-mounted hair dryer uses roughly 1.6 kW of power on average. This indicates that a guest will use 0.4 kilowatt-hours (kWh) of power if they use their hair dryer for 15 minutes.
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PLEASE HELP MEE
Two blocks of silver have a temperature of 175°C. One block has a mass of 33g, the other block has a mass of 300g. Do the blocks have the same amount of thermal energy? Why or why not?
Answer & Explanation FROM YOUR TEACHER:
The blocks does not have the same amount of thermal energy
The mass and temperature of an item are both inversely correlated with thermal energy. Thermal energy is expressed as follows:
Mass times Specific Heat Capacity times Temperature equals thermal energy.
where the material's specific heat capacity relates the amount of heat required to raise a unit mass of the material's temperature by one degree Celsius.
Even if the two blocks are at the same temperature, they will have different quantities of thermal energy since they have different masses. Assuming they are both composed of the same material and have the same specific heat capacity, the block with a mass of 300g will contain more thermal energy than the block with a mass of 33g.
33g × specific heat capacity x 175°C Equals 33g thermal energy of a 33g block.
Heat capacity of a 300g block is equal to 300g times 175°C in terms of thermal energy.
The thermal energy of the two blocks will vary since the masses are different.
The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s−1 on
water. The amplitude of the wave is 2.0 cm and the frequency is 4.0 Hz.
Which statement is correct?
A The phase difference between particles at P and S is rad.
B The distance between P and R is 6.0 cm.
C The particle velocity at Q is a maximum.
D Particles at P and R are in phase.
The amplitude of wave is 2.0 cm and the frequency is 4.0 Hz, then the correct statements are : B) The distance between P and R is 6.0 cm ; D)Particles at P and R are in the phase.
What is meant by transverse wave?Moving wave whose oscillations are perpendicular to the direction of the wave is known as transverse wave.
As we know, v = fλ
v is the velocity of wave, f is frequency, and λ is wavelength.
λ = v/f
λ = 24 cm s−1 / 4.0 Hz = 6.0 cm
So the wavelength of the wave is 6.0 cm.
A.)The phase difference between particles at P and S is π/2 radians.
This statement cannot be determined from given information.
B.)Distance between P and R is 6.0 cm.
This statement is correct as the distance between two consecutive points on a wave with wavelength of 6.0 cm is also 6.0 cm.
C.)The particle velocity at Q is maximum.
This statement cannot be determined from given information.
D.)Particle at P and R are in phase.
This statement is correct as particles at two points on a wave with wavelength of 6.0 cm are in phase.
Therefore, correct statements are B and D.
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i really need help someone help for the scent e fills
This implies that when the force applied on an item increases, so does the object's acceleration. Similar to how an object's acceleration decreases as its mass increases, so does its mass.
What principle of Newton's law asserts that a rise in force leads to a rise in acceleration?Force with acceleration are directly correlated, as shown by Newton's second law. The more force that is exerted to an object, the faster it will accelerate. For instance, the acceleration doubles when the force exerted on an object doubles.
Why does acceleration cause a rise in force?The relationship among acceleration and force is explained in Newton's second laws of motion. They are comparable in size. An object moves forward at a speed equal to the force pushing against it. The simplest approach to determine force is to multiply mass by acceleration.
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A man is attempting to lift a crate using a two part pulley system as shown in the image. The crate has mass m2 = 53 kg, and the man has m1 = 75 kg. He pulls downward on the rope with a force of magnitude F = 659 N. The pulleys are massless and frictionless.1.) Using T to describe the magnitude of the tension force, write an expression for the sum of the forces in the y direction acting on the crate, in terms of gravity and the variables provided.2.) what is the blocks acceleration in m/s^2?
1.) The sum of the forces in the y direction acting on the crate is given by the equation: F_y = m2g - T, where m2 is the mass of the crate, g is the gravitational acceleration (9.81 m/s^2), and T is the tension force.
2.) The acceleration of the block is given by the equation: a = F/m2 = 659 N / 53 kg = 12.4 m/s^2.
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how tall must a water-filled manometer be to measure blood pressure as high as 300 mm hg? density of blood is 1.05 x 103 kg/m3
The height of a water-filled manometer required to measure blood pressure as high as 300 mm Hg is 229.69 cm.
A manometer is a pressure measurement device that is utilized to measure the pressure of gases and liquids in a container.
The weight of the liquid in the manometer rises or falls depending on the pressure of the gases and liquids in the container.
In order to measure blood pressure, a water-filled manometer is used. The density of blood is 1.05 x 103 kg/m3. The height of the manometer is required to be found.
The pressure of blood is 300 mm Hg.
The following formula will be used to calculate the height of the manometer:
h = (P*d)/(g*H2O)
where, P = 300 mm Hg,
d = 1.05 × 103 kg/m^3,
g = 9.8 m/s2, and
H2O = 1000 kg/m^3
Substituting the values in the equation:
h = (300*1.05*103)/(9.8*1000)
h = 229.69 cm
The height of the manometer must be 229.69 cm to measure blood pressure as high as 300 mm Hg.
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sarah attempts to do the popular physics trick of swinging a shallow pail of water around in a vertical circle with uniform circular motion so that the water doesn't spill out when the pail is upside down. if the distance from the bottom of the pail to her shoulder (the center of rotation) is 0.449 meters long, what is the minimum constant tangential speed that the pail bottom must have so that the water does not spill out at the top of the circular path
A pail of water is swung in a vertical circle using a uniform circular motion. In order to make sure that the water doesn't spill out when the pail is upside down, a minimum constant tangential speed of 2.1 m/s is required.
The minimum constant tangential speed required by the pail of water in order to ensure that the water doesn't spill out when the pail is upside down can be calculated using the formula:
[tex]v = \sqrt{gr}[/tex]
where v = minimum constant tangential speed g = acceleration due to gravity r = radius of the circle.
The distance from the bottom of the pail to Sarah's shoulder is 0.449 m long.
Since this distance is the radius of the circular path, we can substitute it in the formula.
Therefore,
[tex]v = \sqrt{9.8 m/s^2 \times 0.449 \ m} = \sqrt{4.4102 m^2/s^2} = 2.1 \ m/s[/tex]
Therefore, the minimum constant tangential speed required by the pail of water is approximately 2.1 m/s.
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A crate is placed on the flatbed of truck and is free to move. Truck accelerates in the positive +x direction (to the right) too fast and crate slides and falls back of the truck. There is some friction between the truck bed and the crate.(a) When the crate falls off, in what direction is it moving relative to the ground?Choose the correct option:A. It is not moving with respect to the groundB. To the left (negative x direction)C. To the right (positive x direction)
Answer:
(C) it is moving to the right wrt to the ground
The crate is accelerated to the right (wrt the ground) because the frictional force between the truck bed and the crate is to the right and it is this force that provides movement to the crate
Answer : a) The crate will be moving in the negative x direction (to the left) when it falls off the truck. The force of the acceleration of the truck in the positive x direction will push the crate in the negative x direction. This will cause the crate to move away from the truck in the negative x direction. Correct answer is option B
This is because the truck is accelerating in the positive x direction (to the right), and the crate, being free to move, will have the same acceleration as the truck. This will cause the crate to slide backwards off the truck in the negative x direction.
Therefore, the crate will be moving in the negative x direction (to the left) when it falls off the truck.
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If old mountains are worn down over the course of millions of years, what is one of the primary reasons that mountains still exist?
Volcanic activity and the movement of lithospheric plates both result in the formation of new mountains.
Describe volcanic activity.Volcanic activity can include the release of gases, pro lava emissions, or extremely ferocious explosive bursts that can last for several hours. Volcano shapes and sizes are influenced by eruption type, which also affects the relative volumes & types of lava flows and volcaniclastic debris.
What would occur in the event that Yellowstone erupted?Worldwide repercussions would result from another big caldera-forming eruption at Yellowstone. The repercussions of such a large eruption would be felt locally and include ash fall and short-term (decades to years) changes to the global climate.
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A body slides down a smooth inclined plane at 30° to the horizontal. The distance covered after 15s from rest is
The distance covered by the body after 15 seconds down the inclined plane is approximately 1102.5 meters.
We can use the equations of motion to solve this problem. The acceleration of the body down the inclined plane can be found using trigonometry:
a = gsin(30°) = (9.8 m/s²)(1/2) = 4.9 m/s²
where g is the acceleration due to gravity.
Using the equation of motion:
s = ut + (1/2)at²
where s is the distance covered, u is the initial velocity (which is zero in this case), and t is the time taken, we can find the distance covered after 15 seconds:
s = (1/2)4.9(15)² = 1102.5 meters
Therefore, the distance covered by the body after 15 seconds down the inclined plane is approximately 1102.5 meters.
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9. A 1385-kg pickup truck hitched to a 453-kg
trailer accelerates along a level road from a
stoplight at 0. 75 m/s2 [forward]. Ignore friction
on the trailer and air resistance. Calculate
(a) the tension in the hitch a
(b) the force of static friction exerted by the road
on the pickup truck to propel it forward a
(c) the force the trailer exerts on the pickup
truck a
(a) The tension in the hitch is 339.75 N.
equal to the mass of the trailer times the acceleration (453 kg x 0.75 m/s2 = 339.75 N).
(b) The force of static friction exerted by the road on the pickup truck is 1038.75 N.
(c) The force the trailer exerts on the pickup truck is equal to 339.75 N.
(a) The tension in the hitch is equal to the mass of the trailer times the acceleration.
It is calculated by,
453 kg x 0.75 m/s2
= 339.75 N.
(b) The force of static friction exerted by the road on the pickup truck to propel it forward is equal to the mass of the pickup truck times the acceleration
It is calculated by
1385 kg x 0.75 m/s2
= 1038.75 N
(c) The force the trailer exerts on the pickup truck is equal to the mass of the trailer times the acceleration.
It is calculated by,
453 kg x 0.75 m/s2
= 339.75 N
Static friction is a force that keeps an object at rest. Static friction definition can be written as: The friction experienced when individuals try to move a stationary object on a surface, without actually triggering any relative motion between the body and the surface on which it is on.
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Two people leave points A and B at the same time. They intend to meet at point C at the same time. The person who leaves point A walks at a speed of 3 miles per hour. You and a friend are trying to determine how fast the person who leaves point B must walk. Your friend claims you need to know the length of . Is your friend correct? Explain your reasoning.
Your friend is correct. In order to determine the speed at which the person who leaves point B must walk, you need to know the length of AC and BC.
This is because the time it takes for each person to reach point C is dependent on the distance they must travel and the speed at which they are traveling.
Using the formula time = distance / speed, you can calculate the time it takes for each person to reach point C.
For the person leaving point A, the time it takes to reach point C is tA = AC / 3, since they are traveling at a speed of 3 miles per hour.
For the person leaving point B, the time it takes to reach point C is tB = BC / x, where x is the speed at which they are traveling.
Since both people are intended to reach point C at the same time, you can set the two equations equal to each other:
AC / 3 = BC / x
Cross-multiplying and solving for x gives you the speed at which the person leaving point B must walk:
x = 3BC / AC
Without knowing the length of AC and BC, you cannot determine the speed at which the person leaving point B must walk. Therefore, your friend is correct.
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Two cars are traveling towards one another. The VW Bug has a mass of 187 kg and its initial velocity is -38 m/s. The compact car has a mass of 702 kg and an initial velocity of 23 m/s. They collide and stick together. How fast does the wreckage move immediately after the collision
Answer:
10.17 m/s in the direction the compact car was going (+)
Explanation:
Law of conservation of momentum states that total P before the collision must equal total momentum after the collision.
P = mv
solve for v, velocity of the two cars stuck together after the collision:
(187kg)(-38 m/s) + (702kg)(23 m/s) = (187 + 702 kg)v
momentum before = momentum after
-7106 kg·m/s + 16146 kg·m/s = 889 kg(v)
9040 kg·m/s = 889 kg(v)
v = 9040 kg·m/s / 889 kg = 10.17 m/s
1. The speed of a bobsled is increasing because it has an acceleration of 2.4 m/3. At a given instant in time, the forces resisting the motion, including kinetic friction and air resistance, total 450 N. The combined mass of the bobsled and its riders is 270 kg. (a) What is the magnitude of the force propelling the bobsled forward? (b) What is the magnitude of the net force that acts on the bobsled?
Answer:
Explanation:
Fnet = ma = (270 kg)(2.3 m/s²) = 621 N
Fnet = F-forward - F-resistance
a) F-forward = Fnet + F-resistance = 621 N + 450 N = 1,071 N
b) Fnet = F-forward - F-resistance = 1071 N - 450 N = 621 N
A 0. 60 kg spike is hammered into a railroad
tie. The initial speed of the spike is equal to
1. 8 m/s.
If the tie and spike together absorb 57. 8
percent of the spike's initial kinetic energy
as internal energy, calculate the increase in
internal energy of the tie and spike.
Answer in units of J.
The increase in internal energy of the tie and spike is approximately 1.12 Joules.
The initial kinetic energy of the spike is:
K_i = (1/2) * m * v^2
K_i = (1/2) * 0.60 kg * (1.8 m/s)^2
K_i = 1.94 J
The amount of kinetic energy that is absorbed as internal energy is:
K_absorbed = 0.578 * K_i
K_absorbed = 0.578 * 1.94 J
K_absorbed = 1.12 J
Thus,the value is 1.12 Joules.
Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed.
Kinetic energy is the energy of motion, observable as the movement of an object or subatomic particle. Every moving object and particle have kinetic energy. A person walking, a soaring baseball, a crumb falling from a table and a charged particle in an electric field are all examples of kinetic energy at work.
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A bowl is shaped like a hemisphere with diameter 76 cm. A heavy ball with diameter 8 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume v of water in the bowl. (consider two cases: one in which the ball is not completely submerged and the other in which it is. )
The volume of water in the bowl is then:
v = (2/3)π(38)^3 - (1/3)π(h - 4)^2(3h + 8) - 256π/3 Case 1: The ball is not completely submerged
The volume of water displaced by the ball is equal to the volume of the ball. The radius of the ball is 4 cm, so its volume is (4/3)π(4)^3 = 256π/3 cm^3. The height of the water in the bowl is h - 4 cm, where h is the total height of the water and the ball. The volume of water in the bowl is given by the formula for the volume of a hemisphere with radius 38 cm minus the volume of the spherical segment cut off by the water level: v = (2/3)π(38)^3 - (1/3)π(h - 4)^2(3h + 8). The volume of water in the bowl is then:
v = (2/3)π(38)^3 - (1/3)π(h - 4)^2(3h + 8) - 256π/3
Case 2: The ball is completely submerged
In this case, the volume of water displaced by the ball is equal to the volume of the ball. The height of the water in the bowl is h, so the radius of the water level is (38^2 - 4^2)^(1/2) = 37.83 cm (by the Pythagorean theorem). The volume of water in the bowl is then the volume of a spherical cap with radius 37.83 cm and height h, minus the volume of the ball:
v = (1/3)πh^2(3(37.83) - h) - (4/3)π(4)^3
Note that the volume of the ball is the same in both cases, but the volume of water in the bowl is different.
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can some one help me answer this qustion
The X component of the tiger's velocity is 53.59 km/h.
The vertical (Y) component of the tiger's velocity is 12.37 km/h.
What are the component of the tiger's velocity?The components of the tiger's velocity include X and Y components; the magnitudes of the X and Y components is calculated using the following formula.
The X component of the tiger's velocity is calculated as;
Vx = V cosθ
where;
θ is the angle of the velocityV is the magnitude of the velocityVx = 55 km/h x cos (13)
Vx = 53.59 km/h
The vertical (Y) component of the tiger's velocity is calculated as;
Vy = V sinθ
Vy = 55 km/h x sin (13)
Vy = 12.37 km/h
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