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Which is A student weighing 45kg runs down a slope and suddenly jumps with a speed of 3 m s onto a stationary skateboard The student and the skateboard move with a velocity of 2.7 m s What is the mass?
Wiki User
∙ 10y ago
This can be modeled as a "collision" where momentum is conserved. Momentum equals mass times velocity (p = mv).
Let's call the momentum of the student before the collision ps0 and the momentum of the skateboard before the collision pb0. Let's call the momentums after the collision ps1 and bs1.
Since momentum is conserved, ps0 + pb0 = ps1 + bs1. Plugging the numbers for the momentum gives us:
(45)(3) + (m)(0) = (45)(2.7) + (2.7)(m), where m is the mass of the skateboard.
Simplified:
135 = 2.7m + 121.5
13.5 = 2.7m
m = 5
So the mass of the skateboard is 5 kg.
(Note that the units are all in kilograms, meters, and seconds they call match up in the calculations.)
Wiki User
∙ 10y ago
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If an object weighing 90 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 Joules. what is its kinetic energy when the velocity is 32 meters per second?
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