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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 2.🏋️ A force of 430 N did 860 J of work. How many metres did the object move?
- 3.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 4.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 7.🏋️ Pushing a crate 4 m took 1960 J of work. What force was used, in newtons?
- 8.🏋️ A 14 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 smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 350 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ 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?
- 17.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 21.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A 17 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 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 25.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 27.🏋️ A force of 120 N did 600 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 30.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 90 N did 450 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ 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?
- 36.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 380 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 6 m took 2160 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- less effort
- 2
- 1
- 500
- 410
- through a distance
- 490
- 280
- 700
- 1750
- 2
- 40
- 420
- 2800
- 100
- 20
- 640
- 110
- 20
- load ÷ effort
- 50
- 340
- 560
- 10
- 2
- 400
- 5
- 600
- 5
- 110
- 4
- 6
- 5
- 900
- 60
- 5
- 2280
- 360
- 300
- 950
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