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A dog pushes a toy horizontally on a frictionless floor with a net force of 2.0\, \text N2.0N for 1.0\,\text m1.0m. How much kinetic energy does the toy gain?

Respuesta :

Answer:

2.0 J

Explanation:

Since the surface is frictionless, we can solve the problem by using the work-energy theorem, which states that the work done on the toy is equal to the kinetic energy gained by the toy:

[tex]W=\Delta E_k[/tex]

where

W is the work done on the toy

[tex]\Delta E_k[/tex] is the kinetic energy gained by the toy

The work done can be calculated as the product between the force applied on the toy and its displacement, so:

[tex]W=Fd=(2.0 N)(1.0 m)=2.0 J[/tex]

Therefore, according to the work-energy theorem, the toy has gained 2.0 J of kinetic energy.

Answer: 2 J

Explanation: Kinetic energy is possessed by a body due to virtue of its motion. A body gains kinetic energy when some work is done on it.

W = Δ K.E.

We know that work is said to be done on a body when a force causes displacement of the body.

W = F.s

It is given that net force on the toy, F = 2.0 N which displaces the toy by, s = 1.0 m.

Hence, work done on the toy, W = 2.0 N × 1.0 m = 2 J which is equal to the kinetic energy gained by the toy.