College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 5, Problem 8PE
Show that the acceleration of any object down a frictionless incline that makes an angle
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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.)
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Chapter 5 Solutions
College Physics
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Ch. 5 - Examine different types of shoes, including sports...Ch. 5 - Would you expect your height to be different...Ch. 5 - Why can a squirrel from a tree branch to the...Ch. 5 - Explain why pregnant women often suffer from back...Ch. 5 - An old carpenter's trick to keep nails from...Ch. 5 - When a glass bottle full of vinegar warms up, both...Ch. 5 - A physics major is cooking breakfast when he...Ch. 5 - (a) When rebuilding her car's engine, a physics...Ch. 5 - (a) What is the maximum frictional force in the...Ch. 5 - Suppose you have a 120-kg wooden crate resting on...Ch. 5 - (a) If half of the weight of a small 1.00103 kg...Ch. 5 - A team of eight dogs pulls a sled with waxed wood...Ch. 5 - Consider the 65.0-kg ice skater being pushed by...Ch. 5 - Show that the acceleration of any object down a...Ch. 5 - Show that the acceleration of any object down an...Ch. 5 - Calculate the deceleration of a snow boarder going...Ch. 5 - (a) Calculate the acceleration of a skier heading...Ch. 5 - If an object is to rest on an incline without...Ch. 5 - Calculate the maximum deceleration of a car that...Ch. 5 - Calculate the maximum acceleration of a car that...Ch. 5 - Repeat Exercise 5.14 for a car with four-wheel...Ch. 5 - A freight train consists of two 8.00105 -kg...Ch. 5 - Consider the 52.0-kg mountain climber in Figure...Ch. 5 - A contestant in a winter sporting event pushes a...Ch. 5 - Repeat Exercise 5.18 with the contestant pulling...Ch. 5 - The terminal velocity of a person falling in air...Ch. 5 - A 60-kg and a go-kg skydiver jump from an airplane...Ch. 5 - A 560-g squirrel with a surface area of 930 cm2...Ch. 5 - To maintain a constant speed, the force provided...Ch. 5 - By what factor does the drag force on a car...Ch. 5 - Calculate the speed a spherical rain drop would...Ch. 5 - Using Stokes' law, verify that the units for...Ch. 5 - Find the terminal velocity of a spherical...Ch. 5 - Stokes' law describes sedimentation of particles...Ch. 5 - During a circus act, one performer swings upside...Ch. 5 - During a wrestling match, a 150 kg wrestler...Ch. 5 - (a) The "lead" in pencils is a graphite...Ch. 5 - TV broadcast antennas are the tallest artificial...Ch. 5 - (a) By how much does a 65.0-kg mountain climber...Ch. 5 - A 20.0-m tall hollow aluminum flagpole is...Ch. 5 - As an oil well is drilled, each new section of...Ch. 5 - Calculate the force a piano tuner applies to...Ch. 5 - A vertebra is subjected to a shearing force of 500...Ch. 5 - A disk between vertebrae in the spine is subjected...Ch. 5 - When using a pencil eraser, you exert a vertical...Ch. 5 - To consider the effect of wires hung on poles, we...Ch. 5 - A farmer making grape juice fills a glass bottle...Ch. 5 - (a) When water freezes, its volume increases by...Ch. 5 - This problem returns to the tightrope walker...Ch. 5 - The pole in Figure 5.24 is at a 90.0° bend in a...Ch. 5 - Prob. 1TPCh. 5 - Prob. 2TPCh. 5 - Prob. 3TPCh. 5 - Prob. 4TP
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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
- 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.arrow_forwardQ 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)arrow_forwardA 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)arrow_forward
- A block of mass m resting on a 20° slope. The block has coefficients of friction us = 0.80 and μk = 0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. (a) What is the minimum mass m that will stick and not slip? (b) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? m 20° 2.0 kgarrow_forwardA 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.arrow_forwardA 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?arrow_forward
- 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.)arrow_forwardA ball that weighs 0.5kg is suspended on a string from the top of a vertical pole fastened to the roof of a vehicle. What will the angle made by the string and the pole be if the vehicle is accelerating at a rate of 2.7 m/s^2 (Suppose there is no air resistance).arrow_forwardCalculate the force (W) required to pull an object of mass 100 kg on a frictionless horizontal plane with a constant speed of 5 m/s by applying a force of 122 N making an angle of 37° with the horizontal.arrow_forward
- 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.arrow_forwardConsider an object of mass m = 2kg moving up a ramp with an initial speed (vi) of 10m/s. Suppose that the ramp make an angle θ = 30◦ relative to the ground. Given that the coefficient of static friction and the coefficient of kinetic friction between the surfaces of the ramp and the object are μs = 0.6 and μk = 0.5 respectively. (a) Find the acceleration of the object as it slides up.(b) How far does the object move along the ramp?(c) Does the object move down the ramp after it reaches the maximum height (Justify your answer with calculation)?arrow_forwardPROBLEM 5.15 18. A crate slides down an inclined plane without friction. If it is released from rest and reaches a speed of 6 m/s after sliding a distance of 2.5 m, what is the angle of inclination of the plane with respect to the horizontal?arrow_forward
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