Maths4U Original · Short practice

A 3 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{3}{5},\quad\cos\alpha=\frac{4}{5}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find P 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

A 4 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{5}{13},\quad\cos\alpha=\frac{12}{13}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find P 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

A 4 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{5}{13},\quad\cos\alpha=\frac{12}{13}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find the normal reaction 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

A 5 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{8}{17},\quad\cos\alpha=\frac{15}{17}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find the normal reaction 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

A 5 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{8}{17},\quad\cos\alpha=\frac{15}{17}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find the component magnitude of P pressing into the plane, 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

A 6 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{3}{5},\quad\cos\alpha=\frac{4}{5}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find the component magnitude of P pressing into the plane, 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

A 6 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{3}{5},\quad\cos\alpha=\frac{4}{5}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find the component of weight down the plane, 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

A 7 kg particle is in equilibrium on a smooth plane rising to the right. The acute angle α satisfies \(\displaystyle \sin\alpha=\frac{5}{13},\quad\cos\alpha=\frac{12}{13}\). A horizontal force P acts to the right. Use \(\displaystyle g= \frac{10m}{s^{2}}\).

Find the component of weight down the plane, 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.