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A care of mass M 51.5 kg is getting ready to carry a crate of mass m 13.3 kg up a slope of angle 25 with respect to the horizontal, as shown in the figure. The wheels of the cart move freely without friction in their axles and they do not skid over the incline. The coefficients of static and kinetic friction between the crate and the cart are 0.7 and 0.45, respectively. The system is subject to the regular force of gravity (g- 9.80665 m/s²). The cart is initially at rest while a rope under tension T that is parallel to the slope balances its "down ramp tendency of motion" caused by gravity. At t=0 the magnitude of the tension starts increasing linearly at a rate of 11.5 N/s and the cart accelerates up the slope. (a) Determine the work done by the tension between t= 0 and the moment the crate starts sliding toward the back of the cart. W J (b) Determine the change in the kinetic energy of the crate between 0 and the moment it starts sliding toward the back of the cart. AK- (e) Determine the magnitude of the acceleration of the crate, with respect to the fixed incline, when it is sliding toward the back of the cart. GN

A care of mass M 51.5 kg is getting ready to carry a crate of mass m 13.3 kg up a slope of angle 25 with respect to the horizontal, as shown in the figure. The wheels of the cart move freely without friction in their axles and they do not skid over the incline. The coefficients of static and kinetic friction between the crate and the cart are 0.7 and 0.45, respectively. The system is subject to the regular force of gravity (g- 9.80665 m/s²). The cart is initially at rest while a rope under tension T that is parallel to the slope balances its "down ramp tendency of motion" caused by gravity. At t=0 the magnitude of the tension starts increasing linearly at a rate of 11.5 N/s and the cart accelerates up the slope. (a) Determine the work done by the tension between t= 0 and the moment the crate starts sliding toward the back of the cart. W J (b) Determine the change in the kinetic energy of the crate between 0 and the moment it starts sliding toward the back of the cart. AK- (e) Determine the magnitude of the acceleration of the crate, with respect to the fixed incline, when it is sliding toward the back of the cart. GN

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 37P: To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against...
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Uphill Without Slipping A cart of mass M = 51.5 kg is getting ready to carry a crate of mass m 13.3kg up a slope of angle #25 with respect to the horizontal, as shown in the figure. The wheels of the cart move freely without friction in their axles and they do not skid over the incline. The coefficients of static and kinetic friction between the crate and the cart are 0.7 and 0.45, respectively. The system is subject to the regular force of gravity (g 9.80665 m/s²). The cart is initially at rest while a rope under tension T that is parallel to the slope balances its "down ramp tendency of motion" caused by gravity. At t=0 the magnitude of the tension starts increasing linearly at a rate of 11.5 N/s and the cart accelerates up the slope. (a) Determine the work done by the tension between t= 0 and the moment the crate starts sliding toward the back of the cart. W (b) Determine the change in the kinetic energy of the crate between t=0 and the moment it starts sliding toward the back of the cart. AK- 4 J (c) Determine the magnitude of the acceleration of the crate, with respect to the fixed incline, when it is sliding toward the back of the cart. m/s² a=
Transcribed Image Text:Uphill Without Slipping A cart of mass M = 51.5 kg is getting ready to carry a crate of mass m 13.3kg up a slope of angle #25 with respect to the horizontal, as shown in the figure. The wheels of the cart move freely without friction in their axles and they do not skid over the incline. The coefficients of static and kinetic friction between the crate and the cart are 0.7 and 0.45, respectively. The system is subject to the regular force of gravity (g 9.80665 m/s²). The cart is initially at rest while a rope under tension T that is parallel to the slope balances its "down ramp tendency of motion" caused by gravity. At t=0 the magnitude of the tension starts increasing linearly at a rate of 11.5 N/s and the cart accelerates up the slope. (a) Determine the work done by the tension between t= 0 and the moment the crate starts sliding toward the back of the cart. W (b) Determine the change in the kinetic energy of the crate between t=0 and the moment it starts sliding toward the back of the cart. AK- 4 J (c) Determine the magnitude of the acceleration of the crate, with respect to the fixed incline, when it is sliding toward the back of the cart. m/s² a=
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