Practice The Work-energy Theorem For A Variable Force (5.6) - WORK, ENERGY AND POWER

Practice: THE WORK-ENERGY THEOREM FOR A VARIABLE FORCE

Lesson 5.6WORK, ENERGY AND POWER

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8 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does the work-energy theorem state?
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Think about the relationship between work and energy changes.
Question 2.
Define variable force.
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Consider forces like gravity that can vary with position.
3Question 3.
What is the work-energy theorem?
- a) Work done is independent of force.
- b) The work done on a body is the change in its potential energy.
- c) The work done on a body is equal to the change in its kinetic energy.
- d) The work is zero for conservative forces.
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Think about how work relates to energy changes.
4Question 4.
True or False: The work done on an object by a constant force can be measured without knowing the distance moved.
- True
- False
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Recall the formula for work done.
Question 5.
A variable force is defined as F(x) = 2 + 4x - x^2. Calculate the work done by this force as a particle moves from x = 0 to x = 3.
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Solve the integral carefully and compute the limits.
Question 6.
A truck starts from rest and travels 100 m while experiencing a constant variable acceleration. Calculate the net work done on the truck if its final speed is 20 m/s.
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You need the mass of the truck to proceed with calculations.

4 more questions in this section. Enroll free to practise them all.