Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 7 kg and 14 kg. A approaches B at \(\displaystyle \frac{48m}{s}\) right. Immediately after their direct collision A moves right at \(\displaystyle \frac{48}{5}\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find B’s velocity immediately after impact, in m/s positive right.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 2 kg and 2 kg. A approaches B at \(\displaystyle \frac{60m}{s}\) right. Immediately after their direct collision A moves right at \(15\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find B’s velocity immediately after impact, in m/s positive right.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 2 kg and 2 kg. A approaches B at \(\displaystyle \frac{60m}{s}\) right. Immediately after their direct collision A moves right at \(15\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find the total momentum immediately after impact, in \(\displaystyle \frac{\mathrm{kg}m}{s}\) positive right.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 3 kg and 6 kg. A approaches B at \(\displaystyle \frac{72m}{s}\) right. Immediately after their direct collision A moves right at \(\displaystyle \frac{72}{5}\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find the total momentum immediately after impact, in \(\displaystyle \frac{\mathrm{kg}m}{s}\) positive right.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 3 kg and 6 kg. A approaches B at \(\displaystyle \frac{72m}{s}\) right. Immediately after their direct collision A moves right at \(\displaystyle \frac{72}{5}\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find the total kinetic energy immediately after impact in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 4 kg and 4 kg. A approaches B at \(\displaystyle \frac{24m}{s}\) right. Immediately after their direct collision A moves right at \(6\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find the total kinetic energy immediately after impact in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 4 kg and 4 kg. A approaches B at \(\displaystyle \frac{24m}{s}\) right. Immediately after their direct collision A moves right at \(6\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find the kinetic energy lost in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A is initially to the left of stationary B on a straight smooth horizontal track. Their masses are 5 kg and 10 kg. A approaches B at \(\displaystyle \frac{36m}{s}\) right. Immediately after their direct collision A moves right at \(\displaystyle \frac{36}{5}\) m/s. External forces make a negligible change to total momentum during impact. Take right as positive.

Find the kinetic energy lost in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 5 kg and moves right at \(\displaystyle \frac{5m}{s}\); B has mass 3 kg and moves left at \(\displaystyle \frac{2m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find their common final velocity in m/s, positive right.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 6 kg and moves right at \(\displaystyle \frac{6m}{s}\); B has mass 4 kg and moves left at \(\displaystyle \frac{3m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find their common final velocity in m/s, positive right.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 6 kg and moves right at \(\displaystyle \frac{6m}{s}\); B has mass 4 kg and moves left at \(\displaystyle \frac{3m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find the combined mass after impact in kg.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 2 kg and moves right at \(\displaystyle \frac{7m}{s}\); B has mass 5 kg and moves left at \(\displaystyle \frac{4m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find the combined mass after impact in kg.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 2 kg and moves right at \(\displaystyle \frac{7m}{s}\); B has mass 5 kg and moves left at \(\displaystyle \frac{4m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find the kinetic energy lost in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 3 kg and moves right at \(\displaystyle \frac{8m}{s}\); B has mass 6 kg and moves left at \(\displaystyle \frac{5m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find the kinetic energy lost in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 3 kg and moves right at \(\displaystyle \frac{8m}{s}\); B has mass 6 kg and moves left at \(\displaystyle \frac{5m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find the final speed in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

On a smooth horizontal line, A is to the left of B. A has mass 4 kg and moves right at \(\displaystyle \frac{9m}{s}\); B has mass 3 kg and moves left at \(\displaystyle \frac{6m}{s}\). They collide directly and coalesce. External forces make a negligible change to their total momentum during impact. Take right as positive.

Find the final speed in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 7 kg moving right at \(\displaystyle \frac{8m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(\displaystyle \frac{56}{9}\) m/s. External forces make a negligible change to total momentum during the collision.

Find the unknown mass m in kg.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 3 kg moving right at \(\displaystyle \frac{9m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(\displaystyle \frac{9}{2}\) m/s. External forces make a negligible change to total momentum during the collision.

Find the unknown mass m in kg.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 3 kg moving right at \(\displaystyle \frac{9m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(\displaystyle \frac{9}{2}\) m/s. External forces make a negligible change to total momentum during the collision.

Find the initial total kinetic energy in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 4 kg moving right at \(\displaystyle \frac{10m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(5\) m/s. External forces make a negligible change to total momentum during the collision.

Find the initial total kinetic energy in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 4 kg moving right at \(\displaystyle \frac{10m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(5\) m/s. External forces make a negligible change to total momentum during the collision.

Find the final total kinetic energy in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 5 kg moving right at \(\displaystyle \frac{11m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(\displaystyle \frac{11}{2}\) m/s. External forces make a negligible change to total momentum during the collision.

Find the final total kinetic energy in J.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 5 kg moving right at \(\displaystyle \frac{11m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(\displaystyle \frac{11}{2}\) m/s. External forces make a negligible change to total momentum during the collision.

Find the fraction of the initial kinetic energy lost.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle of mass 3 kg moving right at \(\displaystyle \frac{14m}{s}\) strikes a stationary particle of unknown positive mass m on a smooth horizontal track. They coalesce and move right at \(\displaystyle \frac{42}{11}\) m/s. External forces make a negligible change to total momentum during the collision.

Find the fraction of the initial kinetic energy lost.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.