Question

Which of the following has the greatest momentum?
A. a tortoise with a mass of 275 kg moving at a velocity of 0.55 m/s
B. a hare with a mass of 2.7 kg moving at a velocity of 7.5 m/s
C. a turtle with a mass of 91 kg moving at a velocity of 1.4 m/s
D. a roadrunner with a mass of 1.8 kg moving at a velocity of 6.7 m/s

Answer 1

Answer:

A

Explanation:

Momentum is mass times velocity.

A. 275 kg × 0.55 m/s = 151.25 kgm/s

B. 2.7 kg × 7.5 m/s = 20.25 kgm/s

C. 91 kg × 1.4 m/s = 127.4 kgm/s

D. 1.8 kg × 6.7 m/s = 12.06 kgm/s

So A has the greatest momentum.

Answer 2

Momentum of a body is the product of the mass of the body and its velocity. The momentum of the tortoise is greatest. Thus  option A is the correct option.

What is momentum?

Momentum of a body is the product of the mass of the body and its velocity. It can be given as,

$p=mv$

Given options are,

• A) A tortoise with a mass of 275 kg moving at a velocity of 0.55 m/s

The mass of the tortoise is 275 kg.

The velocity of the tortoise is 0.55 m/s.

Thus momentum of tortoise,

$p_a=275\times0.55\\p_a=151.25$

Hence the momentum of the tortoise is 151.25 kg-m per second.

• B) A hare with a mass of 2.7 kg moving at a velocity of 7.5 m/s

The mass of the hare is 2.7 kg.

The velocity of the hare is 7.5 m/s.

Thus momentum of hare,

$p_b=2.7\times7.5\\p_b=20.25$

Hence the momentum of the hare is 20.25 kg-m per second.

• C) A turtle with a mass of 91 kg moving at a velocity of 1.4 m/s

The mass of the turtle is 91 kg.

The velocity of the turtle is 0.14 m/s.

Thus momentum of turtle,

$p_c=91\times1.4\\p_c=127.4$

Hence the momentum of the turtle is 127.4 kg-m per second.

• D) A roadrunner with a mass of 1.8 kg moving at a velocity of 6.7 m/s

The mass of the roadrunner is 1.8 kg.

The velocity of the roadrunner is 6.7 m/s.

Thus momentum of roadrunner,

$p_d=1.8\times6.7\\p_d=12.06$

Hence the momentum of the roadrunner is 12.06 kg-m per second.

Hence the momentum of the tortoise is greatest. Thus  option A is the correct option.

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