Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 2.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 500 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 140 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 8.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 11.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 13.🏋️ A force of 340 N did 680 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 16.🏋️ A force of 100 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 18.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 4 m took 1000 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 6 m took 420 J of work. What force was used, in newtons?
- 21.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 490 N did 1470 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 29.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 32.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 34.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 37.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 480 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 39.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 110
- 320
- 1500
- 400
- 550
- 570
- 1120
- 20
- 60
- through a distance
- 2
- 30
- 2
- 850
- 4
- 400
- less effort
- 420
- 250
- 70
- 200
- 80
- 640
- 150
- 3
- 320
- 800
- 110
- 640
- 750
- load ÷ effort
- 2
- 3
- 60
- 560
- 3
- 2250
- 2400
- 150
- 100
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