Answered: Show that the acceleration of any…

Name: Show that the acceleration of any object down a frictionless incline t
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Show that the acceleration of any object down a frictionless incline that makes an angle θ with the horizontal is a = g sin θ. (Note that this acceleration is independent of mass.)

Science

Physics

Show that the acceleration of any object down a frictionless incline that makes an angle θ with the horizontal is a = g sin θ. (Note that this acceleration is independent of mass.)

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 99A

See similar textbooks

Related questions

Q: An object of mass 2 kg is sliding with a constant velocity of 4 m s–1 on a frictionless horizontal…

A: According to the first law of motion, if a body is in a state of motion then it will remain in…

Q: A skier traveling travelling with a magnitude of velocity v approaches a ramp that has an angle of…

Q: A cart m1 with mass of 500 g rests on an inclined plane that makes an angle θ = 15° with the…

Q: Referring to the previous question about the wooden crate on the wood floor with given coefficients…

Q: A particle of mass 0.5 kg is at rest on a rough plane inclined at an angle θ to the horizontal where…

Q: A block of mass m = 5.7 kg is pulled up a θ = 24° incline as in the figure below with a force…

A: a) The FBD of the block on the incline is as shown. Let the acceleration of the block be a.

Q: A man pushes on a piano of mass 150 kg so that it slides at a constant velocity of 12.0 cm/s down a…

Q: A block of mass m = 19.5 kg rests on an inclined plane with a coefficient of static friction of μs =…

Q: You carry a pendulum and a protractor with you onto a train. As the train starts moving, the…

A: Given : Acceleration of the train,a=1.4 m/s2 mass of the pendulum, m=200 g=0.2 Kg Angle with the…

Q: Two locomotives on opposite banks of a canal pull a vessel moving parallel to the banks by means of…

A: Ans:- Image-1

Q: A force F = (9.50 -3.50t j) N, with t in units of s, is applied to a 2.00 kg object initially at…

Q: The acceleration due to gravity at sea level is g = 9.81 m/s2 and is decreased 0.003 ft/s2 per 1000…

A: 1 m = 3.28 ft 1 m/s2 = 3.28 ft/s2 1 mile = 5280 ft

Q: A toy rocket engine is securely fastened to a large puck that can glide with negligible friction…

Q: A box of mass 7.7 kg is given an initial speed of vo = 5.1 m/s along a ramp as indicated in the…

Q: A person of mass m = 55 kg is in an elevator which is accelerating upward at acceleration a= 2.3…

A: Scenario - A man travelling up in a lift feels heavier due to resultant of his weight and…

Q: A mule is harnessed to a sled having a mass of 261 kg, including supplies. The mule must exert a…

A: Given,

Q: Two locomotives on opposite banks of a canal pull a vessel moving parallel to the banks by means of…

Q: A block of mass 11 kg lies on a horizontal plane. A force F that is inclined 42.3° with the…

A: The forces acting in the vertical direction are the weight of the block acting downwards and the…

Q: wo masses are connected by a light string that passes over a frictionless pulley, as shown below.…

A: Given Mass of block 1 m1=6.32 kg Mass of block 2 m2=7.51 kg The coefficient of friction between…

Q: wo masses are connected by a light string that passing over a frictionless pulley. Mass m1 =3.34kg…

A: Let us consider that the heavier mass moves downwards and lighter one moves upwards. Using…

Q: THOSAER o. L.T A 10 T - You are pulling a 39 kg box on a level floor by a rope attached to the box.…

A: If box is moving with constant speed, acceleration acting on it must be zero and hence net force is…

Q: What is the weight of (a) a 5.2 kg package of nails in Newtons?

Q: Two blocks are in contact on a frictionless table. A horizontal force is applied to the larger…

A: Given Data: The mass of block m1 is, m1 =2.3 kg The mass of block m2 is, m2=1.2 kg The magnitude of…

Q: A skydiver with mass 75 kg jumps out of an airplane that is 5 km above the ground. Aside from…

Q: There are two forces on the 2.30 kg box in the overhead view of the figure but only one is shown.…

A: A vector can be written as A̅ = Ax î + Ay ĵ = A Cosθ î + A Sinθ ĵ

Q: A crate of mass m = 0.89 kg is on a frictionless incline that makes an angle of 0 = 27.7 degrees…

Q: A mover pushes a 30.0 kg crate across a wooden floor at a constant speed of 0.75 m|s. If the…

A: Given data The mass of the crate is given as m = 30 kg. The constant speed of the crate is given as…

Q: Consider three boxes of masses mi, m, and my kept on a horizontal frictionless surface as shown in…

Q: The magnitude and direction exerted by two tugboats towing a ship are 1670 kilograms, N30°W, and…

Q: A 2-kg hanging mass (m,) is connected by a string over a pulley to a 20-kg block (m,) that is…

Concept explainers

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

Topic Video

Question

Show that the acceleration of any object down a frictionless incline that makes an angle θ with the horizontal is a = g sin θ. (Note that this acceleration is independent of mass.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Show that the acceleration of any object down a frictionless incline that makes an angle θ with the horizontal is a= gsinθ. (Note that this acceleration is independent of mass.)
A bicyclist can coast down a 8.18 degree hill at a constant speed of 5.55 km/h. If the force of air resistance is proportional to the speed v so that Fair = c v, calculate the average force (in N) that must be applied in order to descend the hill at 19.3 km/h. The mass of the cyclist plus bicycle is 78.6 kg.
Consider a person standing on a scale in an elavator. If the elevator accelerates upwards with an acceleration of 1.21 m/s^2 and the person has a mass of 102.9 kg, what would the scale read?
A 40 kg wooden crate is being pulled across a wooden surface by a force (of magnitude F) that is angled 20° above the horizontal. The coefficient of static friction is 0.5 and the coefficient of kinetic friction is 0.3. (a)Calculāte the minimum force F (in N) that must be exerted to get the crate moving. (b)What is the acceleration (in m/s?) of the crate once it starts to move, if that force (F) is maintained?
A box of mass 3.6 kg is given an initial speed of vo = 7.1 m/s along a ramp as indicated in the figure (0 = 65.5°). m If the coefficient of kinetic friction between the box and the ramp is u = 0.72, find the magnitude of the acceleration of the box. (in m/s^2)
A mass of 5 kg is placed on a rough plane inclined at 25° to the horizontal. A force of 15 N, acting parallel to the plane, can just prevent the mass of 5 kg from sliding down the plane. The force is increased until the mass is on the point of sliding up the plane. The new value of the force is N (3 s.f.) The value of the coefficient of friction is Check (3 s.f.)
Q 5)A force vector F =3i + 3j N is applied on 5 kg mass of body on nonfrictionless horizontal surface. The velocity function of body is v = t + 2 . find the following : 1) frictional force (fs ) 2) the coefficient of friction of surface (μ) . (answer fs =1.7 N , u =0.34)
A bicyclist can coast down a 6.17 degree hill at a constant speed of 6.64 km/h. If the force of air resistance is proportional to the speed vso that Fair = c v, calculate the average force (in N) that must be applied in order to descend the hill at 13.0 km/h. The mass of the cyclist plus bicycle is 77.8 kg.
A snowboarder and his board with a combined mass of 50.0 kg moving at 9.50 m/s are about to go up an incline of angle 34.9 degrees, but due to friction only make it up a vertical height of 2.00 m. What was the coefficient of friction?
A person of mass m = 55 kg is in an elevator which is accelerating upward at acceleration a= 2.3 m/s. What is the apparent weight in Newtons, of the person in the elevator during this ride? (Hint: the apparent weight is same as the normal force experienced by the person)
A 50 kg box is pushed with a force of 200 N along a horizontal surface. If the coefficient of friction between the box and the surface is 0.3, calculate the acceleration of the box. (Note: The gravitational acceleration can be assumed to be 9.8 m/s² unless stated otherwise.)
Two masses are connected by a light string that passes over a frictionless pulley, as shown below. The masses are m1 = 6.00 kg, and m2 = 7.00 kg. If the coefficient of friction between the incline and m2 is 0.200 and the angle of the incline is 35.0°, find (a) acceleration of the two masses, (b) the tension in the string, and (c) the speed of each mass 2.00 s after being released from rest. Also, determine (d) what m2 would have to be in order to have the system accelerate in the direction opposite of what you found in (a). Assume m1 stays at 6.00 kg.