Forces Challenge Practice
| # | Answer |
|---|---|
| 1 | Force is a push or pull that can change an object’s motion or shape. Example: friction acting between a robot’s wheel and the floor. |
| 2 | Newton’s First Law says an object at rest stays at rest and an object in motion stays in motion at constant velocity unless acted on by a net force. For a robot that is not moving, it will remain still unless a force causes it to move. |
| 3 | Weight = mg = 2 × 9.8 = 19.6 N. The upward force needed is 19.6 N. |
| 4 | Net force = 12 N - 5 N = 7 N to the right. |
| 5 | Using F = ma, a = F/m = 8/4 = 2 m/s². |
| 6 | F = ma = 10 × 1.5 = 15 N. |
| 7 | Work = Fd = 30 × 0.5 = 15 J. |
| 8 | Forward force = 36 N. Net force = 36 - 22 = 14 N forward. |
| 9 | a = (v - u)/t = (3 - 0)/2 = 1.5 m/s². |
| 10 | F = ma = 6 × 1.5 = 9 N. |
| 11 | Weight = 0.8 × 9.8 = 7.84 N. The gripper must provide 7.84 N upward. |
| 12 | Net force = 50 - 32 = 18 N forward. |
| 13 | First find acceleration: a = F/m = 12/3 = 4 m/s². Then s = 1/2 at² = 0.5 × 4 × 16 = 32 m. |
| 14 | Lifting force = weight = 5 × 9.8 = 49 N. It is not greater because constant speed means acceleration is zero, so net force must be zero. |
| 15 | Net force = 70 - 28 = 42 N. Acceleration = 42/7 = 6 m/s². |
| 16 | Examples: motor driving force and friction force, or weight and normal force. They must be equal in size and opposite in direction so the net force is zero. |
| 17 | Acceleration = 40/20 = 2 m/s². Time = (10 - 2)/2 = 4 s. |
| 18 | Torque = force × distance = 15 × 0.3 = 4.5 N·m. |
| 19 | Force = torque/distance = 6/0.2 = 30 N. |
| 20 | Net force = 60 - 18 = 42 N. Acceleration = 42/12 = 3.5 m/s² forward. If already moving forward, it speeds up. |
| 21 | Weight = 4 × 9.8 = 39.2 N. Work = Fd = 39.2 × 2 = 78.4 J. |
| 22 | First torque = 50 × 0.4 = 20 N·m. At half the distance, torque = 50 × 0.2 = 10 N·m. |
| 23 | Acceleration = 10/5 = 2 m/s². Final speed = at = 2 × 6 = 12 m/s. Distance = 1/2 at² = 0.5 × 2 × 36 = 36 m. |
| 24 | Total forward force = 24 + 18 = 42 N. Net force = 42 - 9 = 33 N forward. Acceleration = 33/9 = 3.67 m/s². If one motor fails, total forward force drops, so net force and acceleration both decrease. |
| 25 | Required acceleration = (4 - 0)/2 = 2 m/s². For 15 kg: net force = ma = 15 × 2 = 30 N. Since friction is 12 N backward, drive force must be 30 + 12 = 42 N forward. If mass increases to 18 kg, net force needed = 18 × 2 = 36 N, so drive force must be 36 + 12 = 48 N forward. |