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

m₂ = 1.2 [kg]

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.

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]

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards