How much work must be done on a 8.0 kg ball to give it a velocity of 36 m/s?
To find the amount of work done on an object, you need to use the work-energy principle. The work done on an object is equal to its change in kinetic energy. The formula for work is:
Work = change in kinetic energy = (1/2) * mass * (final velocity^2 - initial velocity^2)
In this case, the initial velocity is assumed to be 0 m/s since we are starting from rest. Therefore, the formula becomes:
Work = (1/2) * mass * (final velocity^2)
Plugging in the values given:
Mass = 8.0 kg
Final velocity = 36 m/s
Work = (1/2) * 8.0 kg * (36 m/s)^2
= 0.5 * 8.0 kg * (1296 m^2/s^2)
= 5184 J
Therefore, the amount of work that must be done on the 8.0 kg ball to give it a velocity of 36 m/s is 5184 J (Joules).