Question

a block of mass m is sliding with an initial speed vi along a horizontal surface with negligible friction. a constant force of magnitude fa is exerted on the object at an upward angle of 60∘ from the horizontal, causing the object to speed up. if the block remains in contact with the floor, what is the change in the block’s kinetic energy as it moves a horizontal distance δx ?

Answer 1

The change in kinetic energy is equal to the force of magnitude fa multiplied by the horizontal distance δx, which is equal to faδx.

What is kinetic energy?

Kinetic energy is the energy possessed by an object due to its motion. It is a form of energy that is transferred during an impact or collision. Kinetic energy is calculated by multiplying the mass of the object times the square of its velocity. The faster an object is moving, the greater its kinetic energy. Kinetic energy can be converted into other forms of energy, such as heat or sound.

This is because the force is acting in the direction of the displacement, so the work done by the force is equal to the force multiplied by the displacement in the direction of the force. As the mass m is constant, the change in kinetic energy is equal to faδx/m.

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