Question

A 2 kg toy cart and a 6 kg toy cart have a spring compressed between them. When the spring expands, it sends the 2 kg toy cart off with a speed of 12 m/s. How fast will the 6 kg toy cart go?

a. 2m/s

b. 3m/s

c. 4m/s

d. 6m/s

Answer 1

The speed of second toy cart is 4 m/s.

(c) is correct option

Step-by-step explanation:

Given that,

Mass of first toy cart = 2 kg

Mass of second toy cart = 6 kg

Speed of first toy cart = 12 m/s

We need to calculate the speed of second toy cart

Using formula of momentum

`m_(1)v_(1)=m_(2)v_(2)`

Where, m₁ = mass of first toy cart

m₂ = mass of second toy cart

v₁ = velocity of first toy cart

v₂ = velocity of second toy cart

Put the value into th formula

`2*12=6* v_(2)`

`v_(2)=(2*12)/(6)`

`v_(2)=4\ m/s`

Hence, The speed of second toy cart is 4 m/s.

(c) is correct option