A grocery cart with mass of 16 kg is being pushed at constant speed up a 12o ramp by a force Fpwhich acts at an angle of 17o below the horizontal. Find the work done by each of the forces
Part (a)
The work done by the gravitational forces on the cart
Answer to Problem 12P
Solution:The work done by the gravitational forces on the cart is -244.5 J
Explanation of Solution
The various forces acting on the cart are shown in the figure.
Given: Mass of the cart,
Angle of inclination of ramp,
Length of ramp,
Formula used:
Calculation:
Work done the gravitational forces on the cart is
The negative sign indicates that weight opposes the upward motion.
Conclusion:The work done by the gravitational forces on the cart is
Part (b)
The work done by the normal forces on the cart.
Answer to Problem 12P
Solution:The work done by the normal forces on the cart is zero
Explanation of Solution
The various forces acting on the cart are shown in the figure.
Given: Mass of the cart,
Angle of inclination of ramp,
Length of ramp,
Formula used:
Calculation:
The normal force is acting perpendicular to the ramp, θ = 90o.
The work done by the normal forces on the cart is zero
Conclusion:The work done by the normal forces on the cart is zero
Part (c)
The work done by the applied forces on the cart
Answer to Problem 12P
Solution:The work done by the applied forces on the cart is 244.5 J
Explanation of Solution
The various forces acting on the cart are shown in the figure.
Given: Mass of the cart,
Angle of inclination of ramp,
Length of ramp,
Formula used:
Calculation:
The work done by the applied force on the cart is
Conclusion:The work done by the applied forces on the cart is 244.5J.
Chapter 6 Solutions
Physics: Principles with Applications
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