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Calculate the work done against gravity and the work done by an applied force when moving a trolley up a slope.
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2 partsStep-by-step solution
7 stepsHere are the solutions to question 12:
Part a· 3 steps
What is the work done on the trolley against the gravitational force in moving from A to B?
Identify the given values.
Mass of trolley,
Vertical height gained,
Acceleration due to gravity, (assuming this standard approximation)Use the formula for work done against gravity (change in gravitational potential energy).
Substitute the values and calculate.
The work done against the gravitational force is .
Part b
Determine the work done by the force in moving the trolley from A to B.
Identify the given values.
Applied force, (parallel to the slope)
Vertical height,
Angle of inclination,Calculate the distance moved along the slope ().
We use trigonometry:
So,Use the formula for work done by a force acting parallel to the displacement.
Substitute the values and calculate.
The work done by the force is .
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