Question

John, who has a mass of 65kg stands at rest on the ice. He catches a 10kg ball that is thrown to him at 5m/s.
A. Find John's momentum.
B. Find the momentum of the ball.
C. Find the total momentum of the system. ​

Answer 1

A. Since John has a mass of 65 kg and stands at rest on the ice, John's momentum is 0 Kgm/s.

B. The momentum of the ball is 50 Kgm/s.

C. The total momentum of the system is 50 Kgm/s. ​

Given the following data:

• Mass of John = 65 kg

• Velocity of John = 0 m/s (since he is at rest).

• Mass of ball = 10 kg

• Velocity of ball = 5 m/s

A. To find John's momentum:

Mathematically, momentum is given by the formula;

$Momentum = Mass$ × $Velocity$

Substituting the given parameters into the formula, we have;

$Momentum = 65$ × $0$

John's momentum = 0 Kgm/s.

b. To find the momentum of the ball:

$Momentum = Mass$ × $Velocity$

Substituting the given parameters into the formula, we have;

$Momentum = 10$ × $5$

Ball's momentum = 50 Kgm/s.

c. To find the total momentum of the system:

$Total\; momentum = John's \;momentum + Ball's \;momentum$

Substituting the values into the formula, we have;

$Total\; momentum = 0 + 50$

Total momentum = 50 Kgm/s.

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