Resultant force and horizontal acceleration · Short practice
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Recall
Resultant force and horizontal acceleration — objective 1
Maths4U Original · Short practice
A 4 kg particle moves right on a horizontal surface. A constant driving force 18 N acts right and constant resistance 6 N acts left. Take right as positive. Vertical forces balance.
Find the resultant horizontal force 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.
Fresh review variant
Resultant force and horizontal acceleration — objective 1
Maths4U Original · Short practice
A 5 kg particle moves right on a horizontal surface. A constant driving force 27 N acts right and constant resistance 7 N acts left. Take right as positive. Vertical forces balance.
Find the resultant horizontal force 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.
Method
Resultant force and horizontal acceleration — objective 2
Maths4U Original · Short practice
A 5 kg particle moves right on a horizontal surface. A constant driving force 27 N acts right and constant resistance 7 N acts left. Take right as positive. Vertical forces balance.
Find the acceleration 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.
Fresh review variant
Resultant force and horizontal acceleration — objective 2
Maths4U Original · Short practice
A 6 kg particle moves right on a horizontal surface. A constant driving force 14 N acts right and constant resistance 8 N acts left. Take right as positive. Vertical forces balance.
Find the acceleration 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.
Apply
Resultant force and horizontal acceleration — objective 3
Maths4U Original · Short practice
A 6 kg particle moves right on a horizontal surface. A constant driving force 14 N acts right and constant resistance 8 N acts left. Take right as positive. Vertical forces balance.
A separate target acceleration is \(\displaystyle \frac{3m}{s^{2}}\) to the right. Find the resultant force needed, 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.
Fresh review variant
Resultant force and horizontal acceleration — objective 3
Maths4U Original · Short practice
A 7 kg particle moves right on a horizontal surface. A constant driving force 23 N acts right and constant resistance 9 N acts left. Take right as positive. Vertical forces balance.
A separate target acceleration is \(\displaystyle \frac{5m}{s^{2}}\) to the right. Find the resultant force needed, 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.
Check understanding
Resultant force and horizontal acceleration — objective 4
Maths4U Original · Short practice
A 7 kg particle moves right on a horizontal surface. A constant driving force 23 N acts right and constant resistance 9 N acts left. Take right as positive. Vertical forces balance.
With the same resistance, find the driving force needed for that target acceleration, 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.
Fresh review variant
Resultant force and horizontal acceleration — objective 4
Maths4U Original · Short practice
A 8 kg particle moves right on a horizontal surface. A constant driving force 28 N acts right and constant resistance 4 N acts left. Take right as positive. Vertical forces balance.
With the same resistance, find the driving force needed for that target acceleration, 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.