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Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - JEE MCQ


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10 Questions MCQ Test - Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22)

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Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 1

What is the Work Energy Theorem?

Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 1
The Work Energy Theorem states that the net work done on a system is equal to the change in kinetic energy of the system. It provides a fundamental connection between work and kinetic energy.
Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 2

In the equation Fd = 1/2mv22 - 1/2mv21, what does Fd represent?

Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 2

Fd represents the work done by the force in moving the body through a distance d. It is a measure of the energy transferred to the body by the force.

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Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 3

What is the relationship between work and kinetic energy for a variable force?

Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 3
The work done by a variable force is equal to the change in kinetic energy of the body. This relationship holds true for both constant and variable forces.
Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 4

What is the formula for calculating work done by a variable force over a displacement?

Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 4

The formula for calculating work done by a variable force over a displacement is W = ∫Fdx, where F is the force and dx is the differential displacement.

Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 5
If a body experiences positive work, what happens to its kinetic energy?
Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 5
When positive work is done on a body, its kinetic energy increases by the amount of work done. This implies that the body gains kinetic energy.
Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 6
Which of the following statements is true regarding the Work Energy Theorem?
Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 6
The Work Energy Theorem holds true for both positive and negative work done. If work is positive, the final kinetic energy increases, and if work is negative, the final kinetic energy decreases.
Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 7
In the equation Kf = Ki + W, what does Kf represent?
Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 7
Kf represents the final kinetic energy of the object. It is the kinetic energy of the object after the net work has been done on it.
Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 8
What is the result of negative work done on a body?
Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 8
Negative work done on a body results in a decrease in its kinetic energy. It represents energy being taken away from the body.
Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 9
What does the Work Energy Theorem state about the work done by a net force?
Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 9
The Work Energy Theorem states that the work done by the net force on an object is equal to the change in kinetic energy of the object.
Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 10

Which law of motion is used to derive the equation Fd = 1/2mv22 - 1/2mv21 for constant force?

Detailed Solution for Test: Work done by a Variable Force & Work Energy Theorem for Variable Force (June 22) - Question 10

The equation Fd = 1/2mv22 - 1/2mv21 is derived from Newton's Second Law of Motion, which relates force, mass, and acceleration.

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