Physics
11th Edition
ISBN: 9781119326342
Author: CUTNELL
Publisher: WILEY
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Chapter 6, Problem 22FC
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A block of mass m₁
=
10.0 kg is connected to a block of mass m₂
34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
Vm1
×
1.32
Vm2
= 1.32
×
m/s
m/s
A block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
m/s
Vm1
Vm2
m/s
mi
m2
k
i
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to
support any additional load. Consider a leaf spring constant of 5.45 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y = 0.500 m.
Truck body
Dyo
Axle
(a) What is the compression of the leaf spring for a load of 4.90 × 105 N?
m
(b) How much work is done compressing the springs?
]
Chapter 6 Solutions
Physics
Ch. 6.1 - 1. Two forces and are acting on the box shown in...Ch. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - 6. A ball has a speed of 15 m/s. Only one external...Ch. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8CYUCh. 6.3 - Prob. 9CYUCh. 6.5 - 10. Suppose the total mechanical energy of an...
Ch. 6.5 - Prob. 11CYUCh. 6.5 - Prob. 12CYUCh. 6.5 - Prob. 13CYUCh. 6.6 - 14. A net external nonconservative force does...Ch. 6.6 - 15. In one case, a sports car, its engine running,...Ch. 6.7 - 16. Engine A has a greater power rating than...Ch. 6.7 - Prob. 17CYUCh. 6 - Prob. 1FCCh. 6 - Prob. 2FCCh. 6 - Prob. 8FCCh. 6 - Prob. 9FCCh. 6 - Prob. 11FCCh. 6 - Prob. 13FCCh. 6 - Prob. 14FCCh. 6 - Prob. 21FCCh. 6 - Prob. 22FCCh. 6 - Prob. 25FCCh. 6 - 1. During a tug-of-war, team A pulls on team B by...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - 6. A person pushes a 16.0-kg shopping cart at a...Ch. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - 1 0. A 55-kg box is being pushed a distance of 7.0...Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - 17. A water-skier is being pulled by a tow rope...Ch. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 24PCh. 6 - *2 5. A sled is being pulled across a horizontal...Ch. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - 35. A 55.0-kg skateboarder starts out with a speed...Ch. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - 59. A 67.0-kg person jumps from rest off a...Ch. 6 - Prob. 60PCh. 6 - Prob. 62PCh. 6 - Prob. 63PCh. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - 67. The cheetah is one of the fastest-accelerating...Ch. 6 - 68. In 2.0 minutes, a ski lift raises four skiers...Ch. 6 - 72. The graph shows how the force component F cos...Ch. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76APCh. 6 - Prob. 77APCh. 6 - Prob. 80APCh. 6 - Prob. 81APCh. 6 - Prob. 82APCh. 6 - 84. A 63-kg skier coasts up a snow-covered hill...Ch. 6 - Prob. 85APCh. 6 - Prob. 88APCh. 6 - Prob. 91TP
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- A skier of mass 75 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 50 m up a 30° slope (assumed frictionless) at a constant speed of 2.8 m/s? KJ (b) What power (expressed in hp) must a motor have to perform this task? hparrow_forwardA block of mass 1.4 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. a x = 0 x b (a) A constant friction force of 4.4 N retards the block's motion from the moment it is released. Using an energy approach, find the position x of the block at which its speed is a maximum. cm (b) Explore the effect of an increased friction force of 13.0 N. At what position of the block does its maximum speed occur in this situation? cmarrow_forwardA block of mass m = 3.00 kg situated on a rough incline at an angle of 0 = 37.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (see the figure below). The pulley is frictionelss. The block is released from rest when the spring is unstretched. The block moves 11.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between block and incline. k=100 N/m Ө marrow_forward
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- In the movie Fast X, a 10100 kg round bomb is set rolling in Rome. The bomb gets up to 17.6 m/s. To try to stop the bomb, the protagonist Dom swings the counterweight of a crane, which has a mass of 354000 kg into the bomb at 3.61 m/s in the opposite direction. Directly after the collision the crane counterweight continues in the same direction it was going at 2.13 m/s. What is the velocity (magnitude and direction) of the bomb right after the collision?arrow_forwardDon't use aiarrow_forwardMake sure to draw a sketch with scale pleasearrow_forward
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