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.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 2.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 4.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 410 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 360 N did 1080 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 11.🏋️ A force of 420 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 12.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 5 m took 1700 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 460 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 13 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 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- joule (J)
- 850
- through a distance
- 320
- 950
- 900
- 150
- 3280
- 3
- 150
- 2940
- 190
- 240
- 70
- 1100
- 350
- 10
- 2250
- 550
- 900
- 200
- 2450
- 80
- 180
- 120
- 4500
- 900
- 490
- 3
- 900
- 100
- 1400
- 400
- 340
- 6
- 200
- 2300
- 360
- 650
- 50
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