1. Net Force – Example 1 Using Weight F = ma 35 N – 49.05 N = (5.0 kg)a -13.95 N = (5.0 kg)a a = -2.79 m/s/s TOC 5.0 kg 35 N What is the acceleration?

2. Net Force – Example 2 Using Weight F = ma F – 78.48 N = (8.0 kg)(+3.5 m/s/s) F = 106.48 N TOC 8.0 kg F = ? What is the force? (Accelerating upwards at 3.5 m/s/s)

3. Whiteboards: Using Weight 11 | 2 | 3 | 4 | 52345 TOC

4. +2.69 m/s/s W 8.00 kg 100. N F = ma, weight = (8.0 kg)(9.81 N/kg) = 78.48 N down Making up + = (8.0kg)a 21.52 N = (8.0kg)a a = 2.69 m/s/s Find the acceleration:

5. -1.81 m/s/s W 15.0 kg 120. N F = ma, wt = (15.0 kg)(9.81 N/kg) = 147.15 N down = (15.0kg)a -27.15 N = (15.0kg)a a = -1.81 m/s/s It accelerates down Find the acceleration:

6. +180 N W 16 kg F F = ma, wt = (16 kg)(9.81 N/kg) = 156.96 N down = (16.0 kg)(+1.5 m/s/s) F – 156.96 N = 24 N F = 180.96 N ≈ 180 N Find the force: a = 1.5 m/s/s (upward)

7. +637 N W 120. kg F F = ma, wt = 1177.2 N downward = (120. kg)(-4.50 m/s/s) F – 1177.2 N = -540 N F = 637.2 N ≈ 637 N Find the force: a = -4.50 m/s/s (DOWNWARD)

8. +16,900 N W 120. kg F First, suvat: s = -1.85 m, u = -22.0 m/s, v = 0, a = ? use v 2 = u 2 + 2as, a = +130.81 m/s/s F = ma, wt = 1177.2 N downward = (120. kg)(+130.81 m/s/s) F – 1177.2 N = 15697 N F = 16874.5 ≈ 16,900 N This box is going downwards at 22.0 m/s and is stopped in a distance of 1.85 m. What must be the upwards force acting on it to stop it?

9. -39.3 m W 2.10 kg 14.0 N If this box is initially at rest, what is its displacement in 5.00 seconds?

10. +1640 N W 52.0 kg F F = ma, a = +21.696 m/s/s (from kinematics) wt = 510.12 N downward = (52.0 kg)(+21.696 m/s/s) F = 1638.3 N A falling 52.0 kg rock climber hits the end of the rope going 13.5 m/s, and is stopped in a distance of 4.20 m. What was the average force exerted to stop them?

11. +62.2 N W 65.0 kg F F = ma, a = -8.853 m/s/s (from kinematics) wt = 637.65 downward = (65.0 kg)(-8.853 m/s/s) F = 62.23 N A 65.0 kg dumbwaiter is going up at 5.80 m/s and is brought to rest in a distance of 1.90 m What is the tension in the cable supporting it as it is stopping?

12. W F F = ma, wt = 1176 N downward = (120. kg)(-4.50 m/s/s) F – 1177.2 N = -540 N F = 637.2 N Find the force: a = -4.50 m/s/s (DOWNWARD) Relationship between tension, weight and acceleration Accelerating up = more than weight (demo, elevators) Accelerating down = less than weight (demo, elevators, acceleration vs velocity) Climbing ropes 120. kg

13. 1.57 kg W m 13.6 N F = ma, wt = m(9.81 m/s/s) downward = m(-1.12 m/s/s) 13.6 N = m(9.81 m/s/s) - m(1.12 m/s/s) 13.6 N = m(9.81 m/s/s-1.12 m/s/s) 13.6 N = m(8.69 m/s/s) m = 1.565017261 kg ≈ 1.57 kg Find the mass: a = 1.12 m/s/s (downward)