Sometimes the momentum is known and the velocity is the question: a 5.0 kg object carries momentum 40 kg·m/s, and you want its velocity. Rearrange p = mv once, and the same solving steps carry every such question.
Start from the equation you know: p = mv.
Make v the subject: divide both sides by m.
That gives v = p/m.
With p in kg·m/s and m in kilograms, the velocity comes out in m/s.
A 5.0 kg object carries momentum 40 kg·m/s. Calculate its velocity.
Write down the values:
p = 40 kg·m/s, m = 5.0 kg, v = ?
Write down the equation:
v = p/m
Substitute in the values, and calculate:
v = 40 / 5.0 = 8.0
The object's velocity is 8.0 m/s.
A 0.50 kg ball carries momentum 6.0 kg·m/s. Calculate its velocity.
Write down the values:
p = 6.0 kg·m/s, m = 0.50 kg, v = ?
Write down the equation:
v = p/m
Substitute in the values, and calculate:
v = 6.0 / 0.50 = 12
The ball's velocity is 12 m/s.
A 3.0 kg cart carries momentum 27 kg·m/s. Enter its velocity in m/s.
An 8.0 kg wagon carries momentum 52 kg·m/s. Enter its velocity in m/s.
A 60 kg skater carries momentum 120 kg·m/s. Enter the skater's velocity in m/s.
A 0.60 kg basketball carries momentum 8.4 kg·m/s. Enter its velocity in m/s.
A 750 kg car carries momentum 1875 kg·m/s. Enter its velocity in m/s.
A loaded kayak carries momentum 66 kg·m/s. Its mass is 55 kg. Enter its velocity in m/s.
A 12 kg sled carries momentum 84 kg·m/s. Enter its velocity in m/s.
A 0.25 kg baseball carries momentum 4.0 kg·m/s. Enter its velocity in m/s.
A delivery van rolls along a street carrying momentum 7200 kg·m/s. The van's mass is 1600 kg. Enter its velocity in m/s.