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 smooth ramp is 4 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 3.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 10 m took 2800 J of work. What force was used, in newtons?
- 5.🏋️ A force of 360 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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?
- 8.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 7 m took 1470 J of work. What force was used, in newtons?
- 10.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 11.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 18.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ 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?
- 20.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 4 m took 1960 J of work. What force was used, in newtons?
- 23.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ 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)
- 26.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 80 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ 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)
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 8 m took 3840 J of work. What force was used, in newtons?
- 33.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 38.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 160 N did 1440 J of work. How many metres did the object move?
- 40.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 150
- through a distance
- 600
- 280
- 2160
- 2
- 340
- 20
- 210
- less effort
- 800
- 850
- 2
- 40
- 140
- 360
- 3
- 810
- 360
- 140
- 2
- 490
- 200
- 50
- 100
- 700
- 110
- 6
- 480
- 400
- 100
- 480
- 120
- 500
- 300
- 400
- 140
- 360
- 9
- 1350
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