Question

(a) Calculate the momentum of a 1900 kg elephant charging a hunter at a speed of 7.50 m/s.
kg·m/s
(b) Compare the elephant's momentum with that of a 0.0400 kg bullet fired at a speed of 600 m/s.
(momentum of elephant / momentum of bullet)
(c) What is the momentum of the 90.0 kg hunter running at 7.50 m/s after missing the elephant?

Answer 1

Solution :-

Momentum-

In Newtonian mechanics, linear momentum, translational momentum, or simply momentum (pl. momenta) is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction in three-dimensional space. If m is an object's mass and v is the velocity (also a vector), then the momentum is

i.e P = M*v

In SI units, it is measured in kilogram meters per second (kg⋅m/s). Newton's second law of motion states that a body's rate of change in momentum is equal to the net force acting on it.

But in this problem the given quantity is mass and speed, so conceptual momentum is defined as product of mass and speed.

1. Find momentum

Given: - mass (m) – 1900 kg

Speed (v) – 7.50m/s

Using momentum formula,

P= mv

Where,

M – Mass

V - Speed

P = 1900kg *7.50m/s

P = 14250 kg.m/s

The momentum of a elephant charging a hunter is – P = 14250 kg.m/s

2.Find momentum

Given: - mass (m) – 0.0400 kg

Speed (v) – 600m/s

Using momentum formula,

P= mv

Where,

M – Mass

V - Speed

P = 0.0400kg *600m/s

P = 24 kg.m/s

The momentum is – P = 24 kg.m/s

The elephant momentum is greater 625 times than the momentum of a bullet fired

3.Find momentum

Given: - mass (m) – 90.0 kg

Speed (v) – 7.50m/s

Using momentum formula,

P= mv

Where,

M – Mass

V - Speed

P = 90.0kg *7.50m/s

P = 675 kg.m/s

The momentum is – P = 675 kg.m/s