A stone is thrown horizontally from the top of an inclined plane (angle of inclination θ). How would I find the initial speed of the stone if it hit the plane a distance L down the slope from the point of launch?

Answers

Answer 1

Answer:

S = V t     where S is the horizontal distance traveled

1/2 g t^2 = H       where H is the vertical distance traveled

t^2 = 2 H / g

V^2 = S^2 / t^2 = S^2 g / (2 H) combining equations

tan theta = H / S

V^2 = S g / (2 tan theta)

Using S = L cos theta

V^2 = L g cos theta / (2 tan theta)

Giving V in terms of L and theta


Related Questions

The density of air is 1.3 kg/m'. Calculate the mass of air in the room.

Answers

Answer:

The density of air is 1.3 kg/m'. Calculate the mass of air in the room.

please someone help me understand this question ​

Answers

[tex]\\ \sf\longmapsto F=\dfrac{Gm_1m_2}{r^2}[/tex]

m1 and m2 has same units let both be m

[tex]\\ \sf\longmapsto F=\dfrac{Gm^2}{r^2}[/tex]

[tex]\\ \sf\longmapsto G=\dfrac{Fr^2}{m^2}[/tex]

SI units:-

F=Newton (N)r=metre(m)mass=m=kg

[tex]\\ \sf\longmapsto G=\dfrac{Nm^2}{kg^2}[/tex]

Option C is correct

Miguel, a single teacher, earns $1,500 every two weeks (biweekly). He claims two allowances. What is his federal income tax withholding for each biweekly paycheck?

Answers

The federal income tax withholding for each biweekly paycheck for the single teacher is $259.9.

The given parameters:

Biweekly amount earned by the single teacher, = $1,500

The federal tax rate for single workers is given as;

amount between $436 and $1,506 = $34.9 plus 15%

The federal income tax withholding for each biweekly paycheck for the single teacher is calculated as follows;

income tax withholding = $34.9  +  0.15($1,500)

income tax withholding = $34.9  +  $225

income tax withholding  = $259.9

Thus, the federal income tax withholding for each biweekly paycheck for the single teacher is $259.9.

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A pilot wishes to fly from airport A to airport B. Airport B is located due south from airport A. The pilots aircraft averages a speed of 160 mi/hr. If the pilot is flying in a wind which blows out of the west at a speed of 40 mi/hr, then the pilot should head his plane in the direction of vector ...

Answers

The pilot should head his plane in the direction of vector of 76⁰.

The given parameters;

velocity of the plane due south, a =160 mphvelocity of the wind west, b = 40 mph

Let the direction of the vector = θ

The direction of the vector can be determined by applying the principle of vector addition;

[tex]tan(\theta) = \frac{v_y}{v_x} \\\\\theta = tan^{-1} (\frac{160}{40} )\\\\\theta = 76 \ ^0[/tex]

Thus, the pilot should head his plane in the direction of vector of 76⁰.

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the graph is tied to the reading

here is the reading for the question

students in a physics class observing the race note that each runner maintains the same acceleration from the start ofthe 8.0 second interval until they each reach the finish line where each of the runners slows to a stop. Two students inthe class make the following claims about the runners’ accelerations from the start of the 8.0 second interval until bothrunners are at rest.


Student 1:“Runner A has a positive acceleration until reaching the finish line and then a negative acceleration aftercrossing the finish line in order to “undo” all of the positive velocity she gained. Since Runner B neverhad any positive acceleration, she doesn’t need any negative acceleration to slow to a stop; heracceleration will be zero the whole time.”


Student 2:“But negative values mean away south in this case – how could runner A be turning around? I think bothrunners must have positive accelerations the whole time since they are always moving north.”


For part (c), do not simple repeat the students’ arguments in your answers.


here are the questions:


i.Which aspects of student 1’s reasoning, if any, are correct? Explain your answer.


ii.Which aspects of student 1’s reasoning, if any, are incorrect? Explain your answer.


iii.Which aspects of student 2’s reasoning, if any, are correct? Explain your answer.


iv.Which aspects of student 2’s reasoning, if any, are incorrect? Explain your answer


THANK YOU THANK YOU THANK YOU

Answers

i. Positive acceleration increases velocity. Negative acceleration decreases velocity. runner A sped up until the finish line and then slowed to a stop.

ii. Zero a acceleration implies a constant, unchanging velocity not a zero velocity. runner B achieved some velocity prior to 8s and is moving and must slow down to reach a stop.

iii. None. No aspects of this reasoning are correct. Everything she says is wrong. See iv for what/why.

iv. The sign on acceleration denotes the direction of *change in velocity* not change in direction. The sign on velocity can denote change in direction but only “forward” or “reverse” along a particular path. Cardinal direction is not indicated, generally, by the sign on velocity. It may correspond to North/South situationally but it is not an built-in feature of velocity and its sign. For example, if you are traveling with positive velocity and turn left to continue your journey you still have a positive velocity in the new direction. In fact, if you turn left again, traveling in the opposite direction as the one you started with your velocity would still be positive… in the new direction. The velocity relative to original direction could be said to be negative but that would be a confusing way to describe a journey. Maybe if you stopped the vehicle and moved in reverse, you could meaningfully say velocity was negative.

What determines the amount of gravitational force between
objects?

Answers

Answer:

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

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A 2-year-old child is prescribed cyclosporine. The parent says the child doesn't like taking the liquid medication. Which statement by the nurse is most appropriate

Answers

Given what we know, we can say that the most appropriate response by the nurse is to indicate that the parent should dilute the medicine in chocolate milk in order to make it more palatable.

Why is this an appropriate response?This is an appropriate response given that it offers a possible solution for the problem.The nurse is first showing that the problem presented by the parent is being taken seriously.Then, without criticizing the parent, a healthy and viable solution is offered.

Therefore, we can confirm that since this response is a calm and thought-out response that respects the patient and offers a viable solution, it can be considered the most appropriate statement by the nurse.

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If the half-life of iodine-131 is 8 days, how much of a 5.00 sample is left after 32 days?

A) 0.31

B) 2.5

C) 1.25

D) 0.62

Answers

Answer:

Option A, 0.31

Explanation:

n = Time taken / half life

n = 32/ 8

= 4

Remaining fraction = 1/2^n

= 1/2⁴

= 1/16

Amount of iodine-131 left = 1/16 × 5

= 0.3125

on which principle does a thermometer is based​

Answers

Answer:

thermal expansion

hope it helps

What is the average speed of the car ??

Answers

90km/ h that’s the average speed

Answer:

90 km / hr

Explanation:

V = S / t = 60 * 3.6 km / 2.4 hr = 90 km / hr

Hope that helps <3

Calculate the weight of the object of mass
20kg. (g= 10 m/s^2)

Answers

Answer:

mass= 20kg

g=10m/s2

weight is F=mg

F=20×10

F=200N

(50 POINTS) please answer each question:

what is the Distance from Earth (light years)

what is the Visual Luminosity in comparison to Sun

what is the Surface Temperature (Kelvin)

stars:

Sun




Alpha Centauri A




Sirius B




Barnard’s Star




Vega




Proxima Centauri

Answers

Answer:

i know the first one.

Explanation:

the distance from earth in light years is 6 trillion miles.



Got a question ~ can someone help me out ?

I want Explanation ~ [ cuz there's something I'm not clear about in this question ]

Thanks for Answering ~

Answers

Answer:

Hey Tyere!

Refer to the attachments....

I hope it is helpful to you...Cheers!____________

An engine has an energy input of 125 J, and 35 J of that energy is transformed into useful energy. What is the efficiency of the engine? 28% 35% 72% 90%.

Answers

The efficiency of the engine at the given useful energy and input energy is 28%.

The given parameters:

Input energy of the engine, = 125 JUseful energy of the engine, 35 J

The efficiency of the engine is defined as the ratio of the output energy (useful energy) to the input energy and it is calculated as follows;

[tex]efficiency\ = \frac{0ut put \ energy}{1nput \ energy} \times \ 100\%\\\\efficiency\ = \frac{35}{125} \times 100\%\\\\efficiency\ = 28 \ \%[/tex]

Thus, the efficiency of the engine at the given useful energy and input energy is 28%.

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Answer:

ITS A

Explanation:

A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 73.5-kg water-skier has an initial speed of 5.2 m/s. Later, the speed increases to 12.2 m/s. Determine the work done by the net external force acting on the skier.

ANSWER FOR BRAINLIEST IF ANSWER IS GOOD

Answers

Ignore my comment, that information is unnecessary.

Assuming no friction between the skis and the water, the total work performed on the skier is due only to the pulling force (T, for tension). By Newton's second law, the net force exerted on the skier is

∑ F = T = ma

where m = 73.5 kg is the mass of the skier, and a is their acceleration.

Under constant acceleration, the skier is pulled a distance x such that

(12.2 m/s)² - (5.2 m/s)² = 2ax

and solving for x gives

x = (60.9 m²/s²) / a

Then the total work performed on the skier is

W = Tx

W = ma • (60.9 m²/s²) / a

W = (73.5 kg) (60.9 m²/s²)

W ≈ 4480 J

A 1500 kg car travels 50 m north in 20 seconds. What is the magnitude of the average velocity of the car during the 20 second interval?
a. 2.5 m/s
b. 5.0 m/s
c. 6.5 m/s
d. 7.0 m/s

Answers

Answer:

a. 2.5 m/s

Explanation:

50 / 20 = 2.5 m/s

Solve the science problem

Answers

How does this have anything to do with science? (If you explain I’ll try my best to answer)

A moving car hits the breaks and starts to slow down. The car was moving 35 m/s when hitting the breaks and slows at a rate of 7 m/s/s. What is the final velocity of the car after 4 seconds?

Answers

7 miles per second.

It would take 5 seconds to stop because 35 divided by 7 = 5.

It would slow 28 miles in 4 seconds because 7 x 4 = 28.

35 - 28 = 7.

Jonathan is pushing a 25 kg box with a force of 135 N. The friction opposing the motion is unknown. The overall net force for the box is 70 N. Using this information calculate the magnitude of the frictional force of the box.

Answers

The magnitude of the frictional force of the box is 65 N

From the question given above, the following data were obtained:

Mass (m) = 25 KgForce applied (Fₐ) = 135 NNet force (Fₙ) = 70 NFrictional force (Fբ) =?

The frictional force acting on the box can be obtained as follow:

Fₙ = Fₐ – Fբ

70 = 135 – Fբ

Collect like terms

70 – 135 = – Fբ

–65 = –Fբ

Multiply through by –1

Fբ = 65 N

Thus, the frictional force of the box is 65 N

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Find the heat energy is required to change 2Kg of ice at 0 C to water at 20 C ( specific latent heat of fusion of water = 336000 J/Kg and specific heat of capacity of water = 4200 J/Kg C

Answers

We want to find the energy that we need to transform 2kg of ice at 0°C to water at 20°C.

We will find that we must give 840,000 Joules.

First, we must change of phase from ice to water.

We use the specific latent heat of fusion to do this, this quantity tells us the amount of energy that we need to transform 1 kg of ice into water.

So we need 336,000 J of energy to transform 1kg of ice into water, and there are 2kg of ice, then we need twice that amount of energy:

2*336,000 J = 672,000 J

Now we have 2kg of water at 0°C, and we need to increase its temperature to 20°C.

Here we use the specific heat, it tell us the amount of energy that we need to increase the temperature per mass of water by 1°C.

We know that:

specific heat of capacity of water = 4200 J/kg°C

This means that we need to give 4,200 Joules of energy to increase the temperature by 1°C of 1kg of water.

Then to increase 1°C of 2kg of water we need twice that amount:

2*4,200 J = 8,400 J

And that is for 1°C, we need to give that amount 20 times (to increase 20°C) this is:

20*8,400 J = 168,000 J

Then the total amount of energy that we must give is:

E = 672,000 J + 168,000 J = 840,000 J

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When a projectile is launched horizontally, what is true of its acceleration as it travels through the air?

Answers

It’s acceleration is always zero

What evidence is there that work is being done?
a) A lever is being used.
b) A simple machine makes a task easier.
c) The rock has a larger force than the boy.
d) The boy uses force to move the rock a distance.

Answers

Answer:

The boy uses force to move the rock a distance.

1. Which statement is true about natural
resources?

A. They are only found in living things.
B. They only provide sources of food and
material to humans.
C. They can be man-made or found in nature.
D. They can be a substance, material, object or
source of energy.

2. How do the properties of a substance that is
the result of a chemical reaction compare to the
properties of the starting material?

A. The properties will stay the same.
B. The properties will be different.
C. The properties stayed the same and new
properties will be added.

3. Chlorine is a poisonous gas. Sodium reacts
explosively with water. When chlorine and
sodium react with each other, the product is
the salt we sprinkle on our food. Which
principle does this demonstrate?

A. Reactants are more dangerous than products.
B. Energy is released by some reactions and
absorbed by others.
C. When two reactants form one product, the
reaction is spontaneous.

Answers

Answer:

1. D. They can be a substance, material, object or  source of energy.

2. B. The properties will be different.

3. C. When two reactants form one product, the  reaction is spontaneous.

Texting: what are two needs or wants that this wave technology meets it:

Answers

Answer:

bugs/viruses all the time and more social platforms

Explanation:

These diagrams represent two types of tectonic plate boundaries

Answers

Convergent boundaries are caused by the collision of two plates and can originate volcanoes. Transforming boundaries produce fractures by displacement. The correct option is D. Type A boundaries have fewer volcanoes.

----------------------------------------

The crust -the outermost layer of the earth- is divided into many plates that move over the mantle.

These plates are limited by three types of ridges or borders that differ in the movement they produce.

Boundaries types:

I. Divergent:

This boundary occurs when two plates separate and molten material rises from the mantle creating a new crust.

The hot material creates a new seabed between the separating plates, expanding the sea bottom.

II. Convergent.

Collision area between two plates.

Two oceanic plates might collide, or one oceanic plate with a continental one.

In this last case, the oceanic crust sinks under the continental plate, and magma rises to the surface by crevices.

The thicker and older plate subduces under the other plate.

Collisions create volcanic arches and continental arches.

III. Transforming.

The plates slide laterally with each other, and they are usually called faults.

It is associated, in general, with the oceanic ridge, although it might also occur in the continental plate.

No rocky material is either destroyed or formed.

When the plates move and produce a displacement of one transforming limits from side to side, earthquakes occur.

The movement breaks the crust and originates pronounced fractures.

In the attached images, we can see

image A representing transforming boundaries, image B representing Convergent boundaries.

Image B is the one that can originate volcanoes because transforming boundaries only produce fractures.

So the correct option would be D.

--------------------------------

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Answer:

d

Explanation:

plz help! ill give brainlyest to whoever gets this correct!
Two carts move directly toward one another on an air track. Cart 1 has a mass of 0.35 kg and a speed of 1.2 m>s. Cart 2 has a mass of 0.61 kg and a speed of 0.85 m>s. What is the total momentum of the system, assuming that cart 1 moves in the positive direction?

Answers

What’s Brainlyest? Can you post a picture of the question or farther explain what (m>s) means?

How would you explain conduction?

Answers

Answer:

the meaning of conduction is the process by which heat or electricity is directly transmitted through a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

Explanation:

Answer:

the process by which heat or electricity is directly transmitted through a substance when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

Explanation:

How many protons are in C-14?

Answers

Answer:

56 proton sir

have a nice day

The International Space Station (ISS) orbits Earth at an altitude of 4.08 × 105 m above the surface of the planet. At what velocity must the ISS be moving in order to stay in its orbit?
A) 7.91 × 10^3 m/s
B) 3.12 × 10^4 m/s
C) 7.66 × 10^3 m/s
D) 8.17 × 10^3 m/s

Answers

This question involves the concepts of orbital velocity and orbital radius.

The orbital velocity of ISS must be "7660.25 m/s".

The orbital velocity of the ISS can be given by the following formula:

[tex]v=\sqrt{\frac{GM}{R}}[/tex]

where,

v = orbital velocity = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

M = Mass of Earth = 5.97 x 10²⁴ kg

R = orbital radius = radius of earth + altitude = 63.78 x 10⁵ m + 4.08 x 10⁵ m

R = 67.86 x 10⁵ m

Therefore,

[tex]v=\sqrt{\frac{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}{67.86\ x\ 10^5\ m}}[/tex]

v = 7660.25 m/s

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If a 75 kg box collides with a stationary 35 kg box with a force of 110 N, what must be true of the magnitude of the reaction force?

Answers

According to Newton third law of motion,  what must be true of the magnitude of the reaction force is that the reaction force will be equal and opposite to the action force of 110 newtons

From Newton third law of motion which state that in every action of force, there will be equal and opposite reaction.

If a 75 kg box collides with a stationary 35 kg box with a force of 110 N, the mass 35 kg will produce a reaction force which is equal and opposite to the action force 110 newton received from mass 75 kg.

Therefore, what must be true of the magnitude of the reaction force from mass 35 kg is that the mass will produce an equal and opposite force equal to 110 Newtons.

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