College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
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.)
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.
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...
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- 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?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_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_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 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_forwardTwo 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_forward
- Consider 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_forwardAn object of mas 5 kg is sliding with a constant velocity of 10 m/s on a frictionless horizontal table. The force needed to keep the object moving with same velocity isarrow_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
- Two masses are connected by a light string that passes over a frictionless pulley, as shown below. The masses are m1 = 6.32 kg, and m2 = 7.51 kg. If the coefficient of friction between the incline and m2 is 0.232 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 2.11 s after being released from rest. (d) Also, determine 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 the same. Note: this problem needs to be done using forces and FBDs - no credit will be given for doing it any other way.arrow_forwardA passenger is standing on a scale in an elevator. The building has a height of 500 feet, the passenger has a mass of 80 kg, and the scale has a mass of 7 kg. The scale sits on the floor of the elevator. (It is an Otis elevator, so we will label it as "O" so as not to confuse its forces with those caused by the earth.) You may take g = 10 N/kg. For doing this problem it might be useful to start by drawing free-body diagrams for the passenger and the scale. a) The elevator now begins to descend. Starting from rest, it takes the elevator 6 seconds to get up to its downward speed of 12 m/s. Assuming that it is accelerating downward at a uniform rate during these 6 seconds, what is the acceleration? b) While it is accelerating downward, what does the scale read (in newtons)?arrow_forwardA man with a parachute jumps at a great height from an airplane moving horizontally. After 10 seconds, he opens his parachute. Find his velocity at the end of 15 seconds and his terminal velocity (i.e., the approximate velocity with which he will float to the ground). Assume that the combined weight of man and parachute is 160 pounds, and the force of the air resistance is proportional to the first power of the velocity, equaling 4v when the parachute is closed and 10v when it is openedarrow_forward
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