Maths4U Original · Short practice

Two carts move right at \(\displaystyle \frac{12m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 6 kg and the rear cart 6 kg. A brake on the front cart exerts 42 N left. The rear cart has constant resistance 6 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the positive deceleration magnitude in \(\displaystyle \frac{m}{s^{2}}\).

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

Two carts move right at \(\displaystyle \frac{13m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 7 kg and the rear cart 7 kg. A brake on the front cart exerts 63 N left. The rear cart has constant resistance 7 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the positive deceleration magnitude in \(\displaystyle \frac{m}{s^{2}}\).

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

Two carts move right at \(\displaystyle \frac{13m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 7 kg and the rear cart 7 kg. A brake on the front cart exerts 63 N left. The rear cart has constant resistance 7 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the compressive thrust in the rod in N.

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

Two carts move right at \(\displaystyle \frac{14m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 8 kg and the rear cart 3 kg. A brake on the front cart exerts 19 N left. The rear cart has constant resistance 3 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the compressive thrust in the rod in N.

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

Two carts move right at \(\displaystyle \frac{14m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 8 kg and the rear cart 3 kg. A brake on the front cart exerts 19 N left. The rear cart has constant resistance 3 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the magnitude of the resultant force on the front cart in N.

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

Two carts move right at \(\displaystyle \frac{15m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 9 kg and the rear cart 4 kg. A brake on the front cart exerts 35 N left. The rear cart has constant resistance 4 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the magnitude of the resultant force on the front cart in N.

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

Two carts move right at \(\displaystyle \frac{15m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 9 kg and the rear cart 4 kg. A brake on the front cart exerts 35 N left. The rear cart has constant resistance 4 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the time to first stop in 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

Two carts move right at \(\displaystyle \frac{16m}{s}\) on a horizontal track, joined by a light rigid horizontal rod. The front cart has mass 10 kg and the rear cart 5 kg. A brake on the front cart exerts 55 N left. The rear cart has constant resistance 5 N left; there is no other horizontal resistance. The rod remains attached until the first stop.

Find the time to first stop in 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.