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In this lesson, we will learn how to calculate the work done by a variable force acting on a body over a displacement.

Q1:

The figure shows the magnitude of a force acting on a body as it moves a distance π . Given that the force is measured in newtons, and the distance is measured in metres, determine, the work done in joules by the force to move the body from π = 0 to π = 7 m .

Q2:

The figure shows the magnitude of a force acting on a body as it moves a distance π . Given that the force is measured in newtons, and the distance is measured in metres, determine, the work done in joules by the force to move the body from π = 0 to π = 6 m .

Q3:

A body moves along the π₯ -axis under the action of a force, πΉ . Given that πΉ = ( 8 π + 1 2 ) N , where π m is the displacement from the origin, determine the work done on the body by πΉ when the body moves from π = 7 m to π = 8 m .

Q4:

A body moves along the π₯ -axis under the action of a force, πΉ . Given that πΉ = ( 4 π + 1 0 ) N , where π m is the displacement from the origin, determine the work done on the body by πΉ when the body moves from π = 5 m to π = 7 m .

Q5:

From Newtonβs universal gravitational law, we know that a body at a distance π from the centre of the Earth is affected by a gravitational force such that πΉ = π π 2 , where π is a constant. Assuming the radius of the Earth is 6371 km, find the magnitude of the work required for a satellite of mass 793 kg to achieve vertical takeoff from the ground and reach orbit at an altitude of 831 km.

Q6:

From Newtonβs universal gravitational law, we know that a body at a distance π from the centre of the Earth is affected by a gravitational force such that πΉ = π π 2 , where π is a constant. Assuming the radius of the Earth is 6371 km, find the magnitude of the work required for a satellite of mass 754 kg to achieve vertical takeoff from the ground and reach orbit at an altitude of 831 km.

Q7:

From Newtonβs universal gravitational law, we know that a body at a distance π from the centre of the Earth is affected by a gravitational force such that πΉ = π π 2 , where π is a constant. Assuming the radius of the Earth is 6371 km, find the magnitude of the work required for a satellite of mass 728 kg to achieve vertical takeoff from the ground and reach orbit at an altitude of 831 km.

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