An object of mass 3.4 kg is moving in a straight line with kinetic energy 59.177 J. A force is applied in the direction of its motion for 2.7 seconds, and as a result, its kinetic energy is multiplied by a factor of 1.57. By what factor is its momentum multiplied?

Its momentum is multiplied by a factor of 1.25

Explanation:

First, we calculate the initial velocity of the object:

With that velocity we can calculate the initial momentum of the object:

Then we calculate the velocity of the object once its kinetic energy has increased:

And calculate the second momentum of the object:

Finally we calculate the factor: