Grade 9 Forces & equilibrium worksheet

What is on the worksheet

1. A 13 kg cart has horizontal forces 72 N right and 10 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².

2. What happens to acceleration when mass doubles at fixed net force?

   1. It doubles
   2. It becomes zero necessarily
   3. It halves

3. A 9 kg cart has horizontal forces 121 N right and 113 N left. No other horizontal forces act. Taking right as positive, find its acceleration. Round to 3 decimal places if needed. Answer in m/s².

4. A mass of 51 kg is in a model gravitational field of 3.7 N/kg. Find its weight. Round to 3 decimal places if needed. Answer in N.

5. An ideal spring obeys F = kx with k = 250 N/m. A force of 40 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

6. Two perpendicular forces of 280 N and 672 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.

7. A mass of 46 kg is in a model gravitational field of 10 N/kg. Find its weight. Round to 3 decimal places if needed. Answer in N.

8. A mass of 22 kg is in a model gravitational field of 10 N/kg. Find its weight. Round to 3 decimal places if needed. Answer in N.

9. An ideal spring obeys F = kx with k = 730 N/m. A force of 78 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

10. An ideal spring obeys F = kx with k = 100 N/m. A force of 75 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

11. On a weightless balanced beam, 44 N acts 4 m left of the pivot. What downward force at 4 m right balances it? Forces are perpendicular to the beam. Round to 3 decimal places if needed. Answer in N.

12. On a weightless balanced beam, 25 N acts 3 m left of the pivot. What downward force at 4 m right balances it? Forces are perpendicular to the beam. Round to 3 decimal places if needed. Answer in N.

13. A mass of 79 kg is in a model gravitational field of 10 N/kg. Find its weight. Round to 3 decimal places if needed. Answer in N.

14. On a weightless balanced beam, 115 N acts 6 m left of the pivot. What downward force at 4 m right balances it? Forces are perpendicular to the beam. Round to 3 decimal places if needed. Answer in N.

15. On a weightless balanced beam, 39 N acts 8 m left of the pivot. What downward force at 10 m right balances it? Forces are perpendicular to the beam. Round to 3 decimal places if needed. Answer in N.

16. An ideal spring obeys F = kx with k = 710 N/m. A force of 31 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

17. On a weightless balanced beam, 61 N acts 8 m left of the pivot. What downward force at 9 m right balances it? Forces are perpendicular to the beam. Round to 3 decimal places if needed. Answer in N.

18. An ideal spring obeys F = kx with k = 770 N/m. A force of 39 N is applied within its linear range. Find its extension. Round to 3 decimal places if needed. Answer in m.

19. Two perpendicular forces of 160 N and 300 N act on a point. Find the magnitude of their resultant. Round to 3 decimal places if needed. Answer in N.

20. On a weightless balanced beam, 105 N acts 7 m left of the pivot. What downward force at 7 m right balances it? Forces are perpendicular to the beam. Round to 3 decimal places if needed. Answer in N.