During an ice show, a 60.0-kg skater leaps into the air and is caught by an initially stationary 75.0-kg skater. (a) What is their final velocity assuming negligible friction and that the 60.0-kg skater’s original horizontal velocity is 4.00 m/s? (b) How much kinetic energy is lost?

Step 1 of 3</p>

We have to find the final velocity and the amount of loss of kinetic energy.

Step 2 of 3</p>

a)The linear momentum is conserved for this collision, therefore

Where, is the mass of the first skater

is the mass of the second skater

is the velocity of the first skater(before collision)

is the velocity of the second skater(before collision)

v is the velocity of the system after collision.

Initially at rest so,

We have to find the final velocity, rearrange

The final velocity is 1.78 m/s