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.
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.
Two spheres, and , are moving in a straight line on a smooth horizontal plane in opposite directions at 7.17 m/s. If their masses are and , respectively, find the velocity of sphere relative to sphere . Given that the two bodies coalesce on impact into one body, find the speed 𝑣 of this new body just after the collision.
A ball of mass 60 g started accelerating from rest at 7 cm/s2. At the same moment, another ball of mass 40 g, which was 450 cm ahead of the first ball, started moving in the same direction as the first ball at a constant speed of 90 cm/s. Then the two bodies collided and coalesced into one body. Find the speed of this body directly after the collision.
Two smooth spheres, and , of masses 160 g and 40 g, respectively, are moving in opposite directions along a horizontal straight line. Sphere was moving at a constant speed of 95 cm/s, and sphere was initially moving at 75 cm/s while accelerating at 5 cm/s. After sphere covered a distance of 340 cm, the two spheres collided and coalesced into one body. Determine the speed of this body right after the collision.