Direct collision with one known final velocity · Short practice
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Direct collision with one known final velocity — objective 1
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.
Fresh review variant
Direct collision with one known final velocity — objective 1
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.
Method
Direct collision with one known final velocity — objective 2
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.
Fresh review variant
Direct collision with one known final velocity — objective 2
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.
Apply
Direct collision with one known final velocity — objective 3
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.
Fresh review variant
Direct collision with one known final velocity — objective 3
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.
Check understanding
Direct collision with one known final velocity — objective 4
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.
Fresh review variant
Direct collision with one known final velocity — objective 4
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.