Question

Cart A and cart B are traveling in the same direction on a straight track. Cart A is moving at 9.25 m/s and cart B is moving at 7.15 m/s. The mass of cart A is 72.0 kg and the mass of cart B is 55.0 kg. Cart A catches up to and collides with cart B. After they collide, cart A slows down to 6.15 m/s. Find the final speed of cart B.

Answer 1

The speed of cart B is 11.21 m/s.

Step-by-step explanation:

Given that,

Speed of cart A = 9.25 m/s

Speed of cart B = 7.15 m/s

Mass of cart A = 72.0 kg

Mass of cart B = 55.0 kg

Speed of card A after collision = 6.15 m/s

We need to calculate the speed of cart B

Using conservation of momentum

`m_(A)v_(A)+m_(B)v_(B)=m_(A)v_(A)+m_(B)v_(B)`

Put the value into the formula

`72.0*9.25+55.0*7.15=72.0*6.15+55.0* v_(B)`

`v_(B)=(72.0*9.25+55.0*7.15-72.0*6.15)/(55.0)`

`v_(B)=11.21\ m/s`

Hence, The speed of cart B is 11.21 m/s.