Question

A body of mass 1000kg is moving horizontally with a velocity 50m/s. A mass of 250kg is added. Find the final velocity

Answer 1

Answer:

m1v1 = m2v2

1000 × 50 = 1250 × v2

v2 = 40

Answer 2

The given question is A body of mass 1000kg is moving horizontally with a velocity of 50m/s. A mass of 250kg is added. Find the final velocity.

The solution to the given problem is we have to find the final velocity.

The given data is

The mass of the object M= 1000 kg

m = 250 kg.

initial velocity = u= 500 m/s.

let the final velocity of the object be v.

To find the final velocity, we have to calculate the initial and final momentum of the object.

The formula of the initial momentum is Mu.

=

$1000 \times 50 = 50000 \frac{kgm}{s}$

The formula of the final momentum is (M+m)v.

$(1000 + 250)v$

$= 1250v$

Then we have to apply the law of conservation of momentum so that we can find the final velocity of a system.

The initial momentum is equal to the final momentum

$50000 = 1250v \\ \\ v = \frac{50000}{1250} \\ = 40 \frac{m}{s}$

Therefore, the final velocity is obtained as 40m/s.

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