Lesson: Collisions and Conservation of MomentumMathematics
In this lesson, we will learn how to apply the law of conservation of momentum to study collisions in one dimension and differentiate between elastic and inelastic collisions.
Sample Question Videos
A ball of mass 3 kg, moving in a straight line at 32 cm/s, collided with another ball of mass 2.5 kg that was at rest. Given that the two balls coalesced into one body, determine the speed of this new body.
Two smooth spheres of masses 83 g and 37 g were moving in a straight line. At time seconds, where , the spheres’ displacements relative to a fixed point are given by and , respectively, where is a fixed unit vector. Given that the two spheres collided and coalesced into one body, determine the speed of this composite body and the magnitude of the impulse between the spheres.
A builder is hammering nails into a wall. The hammer has a mass of 3.3 kg, and each nail has a mass of 308 g. Given that the hammer hits each stationary nail at a speed of 8.2 m/s, use the principle of conservation of momentum to find the speed of the hammer and nail directly after the impact.