A moving object has a kinetic energy of 150 j and a momentum with a magnitude of 30.0 kg•m/s. determine the mass and speed of the object

To determine the answer to this item, we use two (2) equations.

Equation for kinetic energy:

KE = 0.5 mv²

Equation for momentum:

P = mv

From the second equation, we can deduced that,

m = P/v

Substituting the known values from the given above,

m = 30/v

Using this expression in the first equation,

KE = 0.5 mv²; 150 = 0.5 (30/v) (v²)

The value of v from the equation is 10 m/s.

The mass is therefore calculated as such,

m = 30/v = 30/10 = 3 kg

Hence, the answers are,

Mass = 3 kg

Velocity = 10 m/s