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
