An object has a kinetic energy of 275 j and a momentum of magnitude 25.0 kg · m/s. find the (a) speed and (b) mass of the object.

The correct answers are 482.4 m/s and 21.96 kg.

Explanation:

The expression for the kinetic energy in terms of momentum of an object is as follows;

Here, KE is the kinetic energy, p is the momentum and m is the mass of the object.

It is given in the problem that an object has a kinetic energy of 275 j and a momentum of magnitude 25.0 kg · m/s.

Calculate the mass of the object.

Put p=25.0 kg · m/s and KE= 275 J.

Calculate the speed of the object.

Put m= 1.14 kg and KE= 275 J.

v=21.96 m/s

Therefore, the speed of the object is 21.96 m/s and the mass of the object is 1.14 kg.

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