Question

A roller coaster car moving at a velocity of 30 meters/second has a momentum of 2.5 × 104 kilogram meters/second. What is its mass?

A.
85 kilograms
B.
8.3 × 102 kilograms
C.
7.6 × 102kilograms
D.
7.6 × 103 kilograms
E.
7.6 × 104 kilograms

Answer 1

the answer is 8.3 × 10^2 kilograms

option B

Answer 2

Given that,

Momentum of roller coaster, $p=2.5\times 10^4\ kg-m/s$

Velocity of the car, v = 30 m/s

To find,

Mass of the roller coaster car

Solution,

The momentum of an object is given in terms of its mass and velocity. Its formula is :

$p=mv$

m is mass of roller coaster car

$m=\dfrac{p}{v}\\\\m=\dfrac{2.5\times 10^4}{30\ m/s}\\\\m=833.33\ kg\\\\m=8.3\times 10^2\ kg$

Hence, the correct option is (B).

Learn more,

Momentum

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