Question

Two bodies of masses 2kg and 3Kg have kinetic energies 16J and 24J respecitvely when they are moving in the same direction. They collide each other The total momentum after collision is ?

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Answer 1

Answer:

energies 16J and 24J respecitvely when they are moving in the same direction. They collide each other The total momentum after collision is ?

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Answer 2

☆ Solution ☆

Given

• Two bodies of masses 2kg and 3Kg have kinetic energies 16J and 24J respecitvely when they are moving in the same direction.

To Find

• The total momentum after collision is ?

Step-by-Step-Explaination

As we know that

Formula of kinetic energy = $\frac{1}{2} {mv}^{2}$

So,

For first body,

m = 2kg

kinetic energy = 16J

Using Kinetic Energy = $\frac{1}{2} {mv}^{2}$

Putting respective value, we get

16 = $\frac{1}{2} × {2v}^{2}$

$\frac{2}{2} get\: cancelled.$

${v}^{2}$ = 16

v = $\sqrt{16}$ = 4

Now,

For second body,

Mass = 3kg

kinetic Energy = 24

Using Kinetic Energy = $\frac{1}{2} {mv}^{2}$

Putting respective value, we get

$\frac{1}{2} {3v}^{2}$ = 24

${v}^{2}$ = $\frac{24 \times 2}{3}$

v = 4 m/s

Now,

Momentum before collision = momentum after collision,

So,

Momentum before collision is ${m}^{1} {v}^{1} + {m}^{2} {v}^{2}$

= (2)(4) + (3)(4)

= 8 + 12

= 20 kgm/s