Name:___KEY_________________Date:____________________Period:_______ WORKsheet Class Discussion/ Reading: Read pages 74-75 and fill in the blanks. Formula: Work is equal to the ___force_____ times the ______distance_______ The formula we use to find work is _______W = F x d_________ Unit: ______Newton-meter/joules_____ is the unit of work. Is work being done? 1. A teacher applies a force to a wall and becomes exhausted. 2. A book falls off a table and free falls to the ground. 3. A waiter carries a tray full of meals above his head by one arm across the room. (CAREFUL! This is very tricky!) Force needs to be in the same direction as the motion 4. A rocket accelerates through space. Yes/No No Yes No Yes Now, work these problems: 5. A 100 N force is applied to move a 15 kg. object a horizontal distance of 5 m at a constant speed. What is the work done on this object? W = Fd W = (100 N) (5 m) F = 100 N W = 500 N-m D=5m F=100N 15 kg 6. An upward force is applied to lift a 15 kg object to a height of 5 m at a constant speed. What is the work done on this object? (Careful…this is tricky…) F W = Fd F = ma (15 kg) (9.8 m/s2) = 147 N D=5m W = Fd (147 N) (5m) = 735 N-m 15 kg 7. How much work is done by an applied force to life a 15 N block 3.0 m vertically at a constant speed? W = Fd (15 N) (3 m) = 45 N-m F = 15 N D=3m Name:___KEY_________________Date:____________________Period:_______ 8. A ball with a weight of 30 N is kicked 2 m into the air. What work as been done? W = Fd, F = 30 N, d = 2 m (30 N) (2 m) = 60 N-m 9. A weightlifter lifts 2 weights of 200 N each up to a height of 1 m. What work has he done? W = Fd, F = 200 N, d = 1 m (200 N) (1 m) = 200 N-m x 2 weights = 400 N-m 10. A furniture mover lifts a box weighting 500 N into the back of a truck which is 1.5 m above the ground. How much work has he done? W = Fd W = (500 N) (1.5 m) = 750 N-m F = 500 N D = 1.5 m 11. A 60 kg athlete runs up a 3 m flight of stair what work has she done? (g=9.8 m/s2) W = Fd W = (588 N) (3 m) = 1764 N-m 2 F = ma = (60 kg) (9.8 m/s ) = 588 N D=3m 12. A student with a mass of 80.0 kg runs up three flights of stairs in 12.0 sec. The student has gone a vertical distance of 8.0m. Determine the amount of work done by the student to elevate her body to this height. Assume that her speed is constant. W = Fd W = (784 N) (8m) = 6272 N-m F = ma = (80 kg) (9.8 m/s2) = 784 N D=8m 13. Ben Travlin carries a 200 N suitcase up three flights of stairs (a height of 10.0m) and then pushes it with a horizontal force of 50.0 N at a constant speed of 0.5 m/s for a horizontal distance of 35.0 m. How much work does Ben do on his suitcase during this entire motion? Vertical W = Fd F = 200 N D = 10 m W = (200 N) (10 m) W = 2000 N-m Horizontal W = Fd F = 50 N D = 35 m W = (50 N) (35m) W = 1750 N-m Total Work = Vertical + Horizontal 2000 N-m + 1750 N-m = 3750 N-m 14. A squirrel (mass of 1 kg) does push-ups by applying a force to elevate its center of mass by 5 cm. Determine the number of push-ups it must do in order to do 5.0 J of work. W = Fd W = (9.8 N) (0.05 m) F = ma = (1 kg) (9.8m/s2) = 9.8 N W = 0.49 N-m d = 5 cm = 0.05 m 5 N-m / 0.49 N-m = 10 push ups