Work Done of a Force in Physics
Work is energy handed over by a force, and the only thing that decides how much is handed over is how far the body moves along the force, not how hard the force pushes on its own. That is why a porter carrying a load on level ground does no work on it, and why gravity can be a creditor on the way up and a debtor on the way down. The blocks take the constant force case first, then the scalar product that gives the same result without an angle, then the varying force case where the sum becomes an integral and the answer is the area under a force against position graph.
Work done by a force along the displacement
Given
- (N)
- (m)
Work done by a force at an angle to the displacement
Given
- (N)
- (m)
- (rad)
Work done by a force perpendicular to the displacement
Given
- (N)
- (m)
Work done in lifting a body at constant velocity
Given
- (kg)
- (m)
Constant used
Work done by gravity on a falling body
Given
- (kg)
- (m)
Constant used
Work done by kinetic friction on a sliding body
Given
- (N)
- (m)
Work done by the net force on a body
Given
- (N)
- (m)
- (rad)
Scalar product from the magnitudes and the angle
Given
- (rad)
Scalar product from the components
Given
Angle between two vectors from their scalar product
Given
Scalar product of a vector with itself
Given
Order in a scalar product
Given
Scalar product with a sum
Given
Work written as a scalar product
Given
- (N)
- (m)
Work done by a varying force over a displacement
Given
- (m)
Work done by a spring as it is deformed
Given
- (N/m)
- (m)
- (m)
Work done in stretching a spring from its natural length
Given
- (N/m)
- (m)
Average power delivered over a time
Given
- (J)
- (s)
Instantaneous power delivered by a force
Given
- (N)
- (m/s)
- (rad)
Work done by a constant power over a time
Given
- (W)
- (s)