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.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 3.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 5.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ 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?
- 7.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
- 8.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 9.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 11.🏋️ A force of 150 N did 1500 J of work. How many metres did the object move?
- 12.🏋️ 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)
- 13.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 15.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 3 m took 630 J of work. What force was used, in newtons?
- 17.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 20.🏋️ A force of 280 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 6 m took 480 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 25.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 30 N did 300 J of work. How many metres did the object move?
- 31.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 32.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 33.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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?
- 35.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
Answer key
- 6
- 3
- 2
- 2
- 260
- 360
- 220
- 10
- 200
- 250
- 10
- 850
- 20
- less effort
- 1
- 210
- 440
- 1230
- 10
- 2240
- 200
- 80
- 250
- no, work stays the same
- 300
- 50
- 350
- 2
- 420
- 10
- 3
- through a distance
- 5
- 320
- 450
- 110
- 800
- 1
- 2
- 6
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