Friction and the resultant contact force: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 4 kg particle rests on a rough horizontal surface. A horizontal pull \(12\) N acts right. The coefficient of friction is \(\displaystyle \frac{2}{5}\). No other horizontal forces act. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the actual friction magnitude 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.
Friction and the resultant contact force: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 5 kg particle rests on a rough horizontal surface. A horizontal pull \(\displaystyle \frac{5}{2}\) N acts right. The coefficient of friction is \(\displaystyle \frac{1}{5}\). No other horizontal forces act. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the actual friction magnitude 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.
Friction and the resultant contact force: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 5 kg particle rests on a rough horizontal surface. A horizontal pull \(\displaystyle \frac{5}{2}\) N acts right. The coefficient of friction is \(\displaystyle \frac{1}{5}\). No other horizontal forces act. 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.
Friction and the resultant contact force: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 6 kg particle rests on a rough horizontal surface. A horizontal pull \(9\) N acts right. The coefficient of friction is \(\displaystyle \frac{3}{10}\). No other horizontal forces act. 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.
Friction and the resultant contact force: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 6 kg particle rests on a rough horizontal surface. A horizontal pull \(9\) N acts right. The coefficient of friction is \(\displaystyle \frac{3}{10}\). No other horizontal forces act. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the total contact-force magnitude in N, to 3 significant figures.
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.
Friction and the resultant contact force: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 7 kg particle rests on a rough horizontal surface. A horizontal pull \(21\) N acts right. The coefficient of friction is \(\displaystyle \frac{2}{5}\). No other horizontal forces act. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the total contact-force magnitude in N, to 3 significant figures.
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.
Friction and the resultant contact force: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 7 kg particle rests on a rough horizontal surface. A horizontal pull \(21\) N acts right. The coefficient of friction is \(\displaystyle \frac{2}{5}\). No other horizontal forces act. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the angle of the contact force to the upward normal, in degrees to 1 decimal place.
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.
Friction and the resultant contact force: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A 8 kg particle rests on a rough horizontal surface. A horizontal pull \(4\) N acts right. The coefficient of friction is \(\displaystyle \frac{1}{5}\). No other horizontal forces act. Use \(\displaystyle g= \frac{10m}{s^{2}}\).
Find the angle of the contact force to the upward normal, in degrees to 1 decimal place.
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.