David Sang and Graham Jones Solutions for Chapter: Momentum, Exercise 5: Questions

Figure shows two identical balls A and B about to make a head-on collision. After the collision, ball A rebound at a speed of $1.5 {\mathrm{ms}}^{-1}$And ball B rebounds at a speed of $2.5 {\mathrm{ms}}^{-1}$. The mass of each ball is $4.0 \mathrm{kg}$.

(a) Calculate the momentum of each ball before the collision.

Figure shows two identical balls A and B about to make a head-on collision. After the collision, ball A rebound at a speed of $1.5 {\mathrm{ms}}^{-1}$ And ball B rebounds at a speed of $2.5 {\mathrm{ms}}^{-1}$. The mass of each ball is $4.0 \mathrm{kg}$.

(b) Calculate the momentum of each ball after the collision.

Figure shows two identical balls A and B about to make a head-on collision. After the collision, ball A rebound at a speed of $1.5 {\mathrm{ms}}^{-1}$And ball B rebounds at a speed of $2.5 {\mathrm{ms}}^{-1}$. The mass of each ball is $4.0 \mathrm{kg}$.

(c) Is the momentum conserved in the collision?

Figure shows two identical balls A and B about to make a head-on collision. After the collision, ball A rebound at a speed of $1.5 {\mathrm{ms}}^{-1}$ And ball B rebounds at a speed of $2.5 {\mathrm{ms}}^{-1}$. The mass of each ball is $4.0 \mathrm{kg}$.

(d) Show that the total kinetic energy of the two balls is conserved in the collision.

Figure shows two identical balls A and B about to make a head-on collision. After the collision, ball A rebound at a speed of $1.5 {\mathrm{ms}}^{-1}$ And ball B rebounds at a speed of $2.5 {\mathrm{ms}}^{-1}$. The mass of each ball is $4.0 \mathrm{kg}$.

(e) Show that the relative speed of the balls is the same before and after the collision.

A trolley of mass $1.0 \mathrm{kg}$ is moving at $2.0 \mathrm{m}{\mathrm{s}}^{-1}$. It collides with a stationary trolley of mass $2.0 \mathrm{kg}$. This second trolley moves off at $1.2 \mathrm{m}{\mathrm{s}}^{-1}$.

(a) Draw 'before' and 'after' diagrams to show the situation.

A trolley of mass $1.0 \mathrm{kg}$ is moving at $2.0 \mathrm{m}{\mathrm{s}}^{-1}$. It collides with a stationary trolley of mass $2.0 \mathrm{kg}$. This second trolley moves off at $1.2 \mathrm{m}{\mathrm{s}}^{-1}$.

(b) Use the principle of conservation of momentum to calculate the speed of the first trolley after the collision. In what direction does it move?