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Recall
Opposing particles that coalesce — objective 1
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.
Fresh review variant
Opposing particles that coalesce — objective 1
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.
Method
Opposing particles that coalesce — objective 2
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.
Fresh review variant
Opposing particles that coalesce — objective 2
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.
Apply
Opposing particles that coalesce — objective 3
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.
Fresh review variant
Opposing particles that coalesce — objective 3
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.
Check understanding
Opposing particles that coalesce — objective 4
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.
Fresh review variant
Opposing particles that coalesce — objective 4
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.