Question

Two objects are moving against each other with a velocity of 50 m/s and 30 m/s. Each of the objects has a mass of 40 kg and 35 kg respectively. What would be the final velocity of both objects after the collision?

Answer 1

Step-by-step explanation:

Give that,

Mass of object

Ma = 40kg

Mb = 35kg

Velocity of mass A Va = 50m/s

Velocity of mass B Vb = 30m/s

Since after collision the two bodies stick together(inelastic collision), then, they will have a common velocity

Let assume common velocity V

So using conservation of linear momentum

Momentum before collision is equal to momentum after collision

P(before) = P(after)

Note P = mV and momentum is a vector quantity

So we assume, that the small mass is moving in the negative direction

P(before) = P(after)

Ma•Va —Mb•Vb = (Ma+Mb)V

40×50—35×30 = (40+35)V

950 = 75V

Then, V = 950/75

V = 12.67 m/s

The common velocity is 12.67 m/s