Question

4. Bobby places a firecracker in plastic monster truck . The firecracker explodes sending a 0.75 kg piece of the car forward at 7.2 m/s and another piece of the car in the opposite direction at 4.5 m/s What is the mass of the other piece of the car

Answer 1

m₂ = 1.2 [kg]

Step-by-step explanation:

Since the explosion causes a force in a certain instant of time, for both bodies there is an equal impulse. In such a way that we can relate both impulses to be able to find the mass of the body needed in the next equation.

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

where:

m₁ = mass of the first piece = 0.75 [kg]

v₁ = velocity of the first piece = 7.2 [m/s]

m₂ = mass of the second piece [kg]

v₂ = velocity of the second piece = 4.5 [m/s]

`0.75*7.2=m_(2)*4.5\\m_(2)=1.2[kg]`