High School

A 39 kg girl runs across a mat with a speed of 4.7 m/s and jumps onto a 145 kg hanging platform initially at rest. After her jump, the girl and platform swing back and forth like a pendulum.

What is the combined velocity of the girl and platform (in m/s) after the jump?

Answer :

The combined velocity of the girl and platform (in m/s) after the jump is 0.99 m/s.

What is Velocity?

The definition of velocity is the rate at which a body moves in a particular direction. Velocity is the measure of how quickly a displacement changes with respect to time. A vector quantity with both magnitude and direction is velocity.

What is the velocity unit in the SI?

Velocity is measured in metres per second (m/s), the SI unit. Centimeters per second (cm/s) can also be used to describe the velocity magnitude.

Given:

m1 is mass of the girl = 39 kg

m2 is mass of the hanging platform = 125 kg

u1 is initial speed of the girl = 4.8 m/s

v is combined velocity of the girl and the platform after the jump

From the law of conservation of momentum,

m1u1 = (m1 + m2)v

v = m1u1/(m1+m2)

v = 39×4.7/(39+145)

v = 183.3/184

v = 0.99 m/s

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