Answer:
112.36 pounds
Explanation:
Since 1 pound = 4.45 Newtons, a 500N child in pounds = 500÷4.45 = 112.36 pounds (approximately).
Three forces acting on an object are given by F1 = (−2.00 i + 2.00 j) N,F2 = (5.00 i − 3.00 j) N, and F3 = (−45.0 i) N. The object experiences an acceleration of magnitude 3.75 m/s2.
i. What is the direction of the acceleration?
ii. What is the mass of the object?
iii. If the object is initially at rest, what is its speed after 10.0 s?
iv. What are the velocity components of the object after 10.0 s?
From summation and resultant of forces, the four answers are:
i. ∅ = 34 degrees
ii. M = 0.48 kg
iii. V = 37.5 m/s
iv. V = 37.5i + 0j + 0k
Given that Three forces acting on an object are
F1 = (−2.00 i + 2.00 j) N
F2 = (5.00 i − 3.00 j) N
F3 = (−45.0 i) N.
If the object experiences an acceleration of magnitude 3.75 m/s2.
i. The direction of the force will be the direction of the acceleration.
Sum of the forces = (-2 + 5 - 4.5)i + (2 - 3 + 0)j
Sum of the forces = -1.5i -j
The acceleration direction will be
tan∅ = [tex]\frac{y}{x}[/tex]
tan∅ = [tex]\frac{1}{1.5}[/tex]
∅ = [tex]tan^{-1}[/tex] (0.67)
∅ = 34 degrees (approximately)
ii. The mass of the object can be calculated from Newton's law.
Resultant force = mass x acceleration.
Resultant force = [tex]\sqrt{1.5^{2} + 1^{2} }[/tex]
Resultant force = [tex]\sqrt{3.25}[/tex]
Resultant force = 1.8N
Then,
1.8 = 3.75M
M = 1.8 / 3.75
M = 0.48 kg
iii. If the object is initially at rest, the speed of the object after 10.0 will be calculated by using first equation of motion.
V = U + at
Where U = 0
V = 0 + 3.75 x 10
V = 37.5 m/s
Therefore, the speed of the object after 10.0 is 37.5 m/s
iv. The velocity components of the object after 10.0 are
V = 37.5i + 0j + 0k
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compared to spiral galaxies, elliptical galaxies are:
flat disk like shape
________________
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Given an unknown metal using C= {Q/(M T)} with energy added of 8,000. J, in which the temperature goes from 24.0 C to 28.0 C at a mass of 46.0 g, find its specific heat capacity?
Answer:
47.48 J/g/K or 4.74 × 10⁴J/Kg/K
Explanation:
C(specific heat capacity)= Q(quantity of heat)/M(mass) × ∆T(change in temperature, Kelvin)
Q= 8000J
M= 46g or 46 ×10^-3Kg
T1= 24°C = 297K
T2 = 28°C = 301K
∆T = 301-297
= 4K
C= 8000/46 × 4
= 47.48 J/g/K or 4.74 × 10⁴J/Kg/K
what are the electrical signals generated by neurons called?
Answer:
electrons
Explanation:
because it electrons
In a 200.0-m relay race (each leg of the race is 50.0 m long), one swimmer has a 0.450 second lead
and is swimming at a constant speed of 3.90 m/s towards the opposite end of the pool. What minimum
speed must the second swimmer have in order to catch up with the first swimmer by the end of the
pool?
The minimum speed that the second swimmer must have in order to catch up with the first swimmer by the end of the pool is; 4.04 m/s
We are given the following facts;
Both swimmers swim the same distance of 50 m for a leg of the relay race.Swimmer 1 swims at constant speed of 3.9 m/s. Swimmer 1 has a 0.450 second head start.Formula for time taken is;
time = distance/speed
Time taken by swimmer 1 for one leg;
t₁ = 50/3.9
t₁ = 12.82 s
Since swimmer 1 has a head start of 0.45 s, then time that swimmer 2 must use in order to catch up is;
t₂ = 12.82 -0.45
t₂ = 12.37 s
Thus, speed of swimmer 2;
v = 50/12.37
v = 4.04 m/s
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A book with a. mass of 1 kg is sliding on a table. If the frictional force on the book is 5 N, calculate the book’s acceleration. Is it speeding up or slowing down?
Force = mass x acceleration:
5N = 1kg x acceleration
Acceleration = 5N / 1 kg
Acceleration = 5 m/s^2
Acceleration is a positive value so it is speeding up
A roller coaster goes from 2.00 m/s [forward] to 10.0 m/s [forward) in 4.50 s. What is its acceleration?
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x 1,000 represents this situation. What is f(3), and what does it represent?.
f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
Mathematical models are representations of real situations. Models often serve the purpose of prediction and can help to explain and simplify certain mathematical problems.
The model; f(x) = 300x + 1,000 represents the number of additional square feet that can be paved in an hour after 1,000 square feet has already been paved.
From the above we can see that the correct answer is; "900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount."
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A student claims that the total momentum of a system of objects is conserved when there is no net force on the system.
To test the claim, the student uses a cue ball (white) and rolls it into an eight ball (black). When the balls collide, the cue
ball comes to a complete stop and the eight ball begins to move. The mass of the cue ball is 0.17 kg, and the mass of
the eight ball is 0.16 kg. A radar is used to measure the speed of the cue ball immediately before it comes in contact
with the eight ball, and another radar is used to measure the speed of the eight-ball immediately after the point of
contact. The cue ball approaches the eight ball at a speed of 4.00 m/s. After contact, the eight ball moves away from the
cue ball at a speed of 4.25 m/s. The scenario is shown in the picture.
The total momentum of the system is conserved and the momentum did not change.
The given parameters:
Mass of the white ball, m₁ = 0.17 kgMass of the black ball, m₂ = 0.16 kgInitial velocity of the white ball, u₁ = 4 m/sFinal velocity of the black ball, v₂ = 4.25 m/sThe initial momentum of the system is calculated as follows;
[tex]P_i = m_1 u_1 + m_2 u_2\\\\P_i = 0.17 \times 4 \ + \ 0.16(0)\\\\P_i = 0.68 \ kg m/s[/tex]
The final momentum of the system is calculated as follows;
[tex]P_f = m_1 v_1 + m_2 v_2 \\\\P_f = 0.17 (0) \ + 0.16(4.25)\\\\P_f = 0.68 \ kg m/s[/tex]
Thus, the total momentum of the system is conserved and the momentum did not change.
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A 570 kg elevator accelerates downwards at 1.5 m/s2 for the first 13 m of its motion.
Part A
How much work is done during this part of its motion by the cable that lowering the elevator? Neglect any friction or air resistance.
Answer:
11115 J
Hope you could get an idea from here.
Doubt clarification - use comment section.
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = â€""16t2 48t 190. Approximately when will the projectile hit the ground? 1. 5 seconds 3. 2 seconds 5. 3 seconds 6. 2 seconds.
The time for the projectile to hit the ground from the given position is 1.5 s.
The given parameters:
Initial velocity of the projectile, u = 48 ft/sHeight, h = 190 ftModel of the projectile path, h(t) = –16t² + 48t + 190.The time for the projectile to hit the ground is calculated as follows:
when the projectile hits the ground, the final velocity = 0
[tex]v_f = 0\\\\\frac{dh(t)}{dt} = v_f\\\\\frac{dh(t)}{dt} = -32t + 48\\\\-32t+48 = 0\\\\32t = 48\\\\t = \frac{48}{32} \\\\t = 1.5 \ s[/tex]
Thus, the time for the projectile to hit the ground from the given position is 1.5 s.
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Which best describes why a liquid needs a container when a solid does not?
O Solids fill their containers, and liquids have definite shapes.
Solids have definite shapes, and liquids fill their containers.
Solids particles will expand to fill their containers, and liquid particles will expand as well.
O Solids particles expand to fill their containers, and liquid particles do not.
Answer: Solids have definite shapes and liquids fill their containers.
Explanation: Liquids have got further apart molecules than solids, so the liquid molecules have a higher degree of locomotion than solid molecules, hence able to fill the container though without a definite volume, which is not the case for solid molecules.
ork is done if a boat has a force 60N and travels 600 meters
I really need the Formula, substitute, answer
Answer:
This is the answer.
Explanation:
is this right?
a bullet is fired out of a gun up at an angle with the horizontal. if its initial horizontal velocity is 10m/s what is the most likely horizontal velocity after two seconds
Hi there!
[tex]\large\boxed{10 m/s}}[/tex]
When a projectile is launched, the HORIZONTAL component remains constant.
The force of gravity only changes the vertical component of the velocity.
As the two components are completely independent of one another, the horizontal component is UNCHANGED.
What event will produce the greatest increase in the gravitational force between the two masses?
Question 5 options:
Doubling the distance between the masses
Reducing the small mass by half
Doubling the large mass
Reducing the distance between the masses by half
Answer:
Doubling the large mass
Explanation:
Doubling the destance bewteen the masses will simply make the gravitational force weaker
same with every answer exce
Event will produce the greatest increase in the gravitational force between the two masses is Doubling the large mass.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Gravitational force is directly proportional to product of mass and inversely proportional to product of distance between them. So, on increasing heaver mass greatest increase in the gravitational force.
Event will produce the greatest increase in the gravitational force between the two masses is Doubling the large mass.
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How much work can a 22 kW (22000W) car engine do in 60 s if it is 100% efficient?
The amount of work done by the car engine if it is 100% efficient is 366.67 Joules.
Given the following data:
Time = 60 secondsPower = 22,000 WattTo determine the amount of work done by the car engine if it is 100% efficient:
Mathematically, the work done by an object with respect to power and time is given by the formula:
[tex]Work\;done = \frac{Power}{time}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Work\;done = \frac{22000}{60}[/tex]
Work done = 366.67 Joules.
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A calculator of mass 0.11 kg is lowered from a bookshelf that is 1.6m above the floor to a desk that is 0.85m above the floor. What's the change in GPE?
Answer:
I think it would be 0.1496 but I'm not really sure sorry
El. A horizontally directed force of 40 N is used to pull a box a distance of 2.5 m across a tabletop. How much work is done by the 40 - N force?
E2. A woman does 160 J of work to move a table 4 m across the floor. What is the magnitude of the force that the woman applied to the table if this force is applied in the horizontal direction?
E3. A force of 60 N used to push a chair across a room does 300 J of work. How far does the chair move in this process?
E4. A rope applies a horizontal force of 180 N to pull a crate a distance of 2 m across the floor. A frictional force of 120 N opposes this motion.
a. What is the work done by the force applied by the rope?
b. What is the work done by the frictional force?
c. What is the total work done on the crate?
The same formula of work can be applied to all the questions. The answers are:
E1. 100J
E2. 40N
E3. 5m
E4. a.) 360 J b.) 240 J c.) 120 J
El. If a horizontally directed force of 40 N is used to pull a box a distance of 2.5 m across a tabletop. The formula to get the much work that will be done by the 40 - N force will be
Work done = force x distance
Work done = 40 x 2.5
Work done = 100 J
E2. If a woman does 160 J of work to move a table 4 m across the floor. We will use the same formula to calculate the magnitude of the force that the woman applied to the table assuming the force is applied in the horizontal direction.
Work done = force x distance
160 = 4F
F = 160/4
Force F = 40 N
E3. Given that a force of 60 N used to push a chair across a room does 300 J of work. Same formula to get how far the chair move in this process.
Work done = force x distance
300 = 60 x distance
distance = 300/60
Distance = 5 m
Therefore, the chair moved 5m away.
E4. Given that a rope applies a horizontal force of 180 N to pull a crate a distance of 2 m across the floor. And a frictional force of 120 N opposes this motion.
a. The work done by the force applied by the rope can be found by
W = F x S
W = 180 x 2
W = 360 J
b. What is the work done by the frictional force?
W = [tex]F_{r}[/tex] x s
W = 120 x 2
W = 240 J
c. What is the total work done on the crate?
W = (F - [tex]F_{r}[/tex]) x distance
Where [tex]F_{r}[/tex] = frictional force
Substitute all the parameters
W = (180 - 120) x 2
W = 60 x 2
W = 120 J
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Which of the following is an example of physical weathering?
O calcium carbonate in limestone changes to calcium hydrogen carbonate
O flow water carves erosion channels in a hillside
Ostalactites precipitate in a cave
O acid rain corrodes a monument
Answer:
acid rain corrodes a monument. d.
Explanation:it only makes sense because its doing something to a physical object.and the other ones aren't.
9- Under what circumstances would a vector have components that are equal in
magnitude?
a. if the vector is oriented at 45° from the axes.
b. if the vector is oriented at 90° from the axes.
c. if the vector is oriented at 0° from the X -axis.
d. if the vector is oriented at 0° from the y-axis.
itude of 30 units Vector B is perpendicular to vector A
Explanation:
c. if the vector is oriented at 0° from the X -axis.
You are looking at a yellow flower growing outside in the sunshine. Why does it look yellow?
Answer:
It looks yellow because that is the only (major) color reflected.
Visible spectra is from about 4000-7000 Angstroms (10^-10 m).
Red are longer wavelengths and blue are the shorter wavelengths.
The Sodium doublet (yellow) occurs around 5900 Angstroms.
Anyone please help thank you
Answer:
A) earth
B) live
C) live
D) earth
Explanation:
hope i help
what happens to the state of motion of the object, when you don't exert a force on it???
Answer: It eventually loses its stamina, and would come to a stop.
Explanation:
Name the force used in removing iron scrap from a heap of mixed scrap. (a) Magnetic Force (b) Electrostatic force (c) Gravitational force (d) Friction Force
Answer:
magnetic force
Explanation:
because iron is magnetic so magnet is able to attract iton
Heat always moves from hot to cold through the processes of?
Answer: The processes are conduction, convection and radiation.
Explanation: Unless people interfere, thermal energy — or heat — naturally flows in one direction only: from hot toward cold. Heat moves naturally by any of three means. The processes are known as conduction, convection and radiation. Sometimes more than one may occur at the same time.
can someone explain with steps please
Answer:
The speed of other projectile is [tex]3.1m/s[/tex]
Explanation:
Range of projectile is given by the equation
[tex]\mathrm{R}=\frac{\mathrm{u}^{2} \cdot \sin 2 \theta}{\mathrm{g}}[/tex]
Here we have same range
Hence
[tex]\frac{\mathrm{2.5}^{2} \cdot \sin (2 \times 65)}{\mathrm{g}}=\frac{\mathrm{u}^{2} \cdot \sin (2 \times 15)}{\mathrm{g}}\\\\u^2=\frac{2.5^2\sin130}{\sin30} \\\\u=3.10m/s[/tex]
Here
initial velocity=u
u1=2.5m/su2=?[tex]\theta_1=65°[/tex][tex]\theta_2=15°[/tex]Now
[tex]\\ \sf\longmapsto R_1=R_2[/tex]
[tex]\\ \sf\longmapsto \dfrac{u_1^2sin2\theta_1}{g}=\dfrac{u_2^2sin2\theta_2}{g}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(2.5)^2.sin2(65)}{g}=\dfrac{u_2^2sin2(15)}{g}[/tex]
Cancel g[tex]\\ \sf\longmapsto 6.25sin130=u_2^2sin30[/tex]
[tex]\\ \sf\longmapsto 6.25(0.76)=u_2^2(0.5)[/tex]
[tex]\\ \sf\longmapsto 5.13=0.5u_2^2[/tex]
[tex]\\ \sf\longmapsto u_2^2\approx 10[/tex]
[tex]\\ \sf\longmapsto u_2\approx 3.1m/s[/tex]
Option B is correct
The decomposition of dinitrogen pentoxide is described by the reaction: 2N2O5(g)→4NO2(g)+O2(g). If O2 is being formed at a rate of 2.40 mol/min, what is the rate at which N2O5 is being used up?
Answer:
4.80 mol N2O5/min
Explanation:
The balanced equation tells us that 2 moles of N2O5 are required for every 1 mole of O2. Therefore:
(2.40 mol O2/min)*(2 mol N2O5/mol O2) = 4.80 mol N2O5/min
is orange orange because its orange or is orange orange because its orange
Answer:
orange it is lol
Explanation:
Answer:
HELP ORANGE DOESNT LOOK LIKE A WORD ANYMORE
Explanation:
1) A plane takes off from an O'Hare runway heading due west with a speed of 210.1 m/s. Once in the air, it encounters a north wind (blowing south) with a speed of 55.0 m/s. What is the magnitude of its velocity relative to the ground?
2) What is the direction of the resulting velocity (relative to its initial direction)?
Maria drove 100 miles in 2 hrs. what was marias speed?