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 force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 5.🏋️ 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?
- 6.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 7.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 9.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 10.🏋️ 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?
- 11.🏋️ A force of 80 N did 400 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 17.🏋️ A force of 270 N did 270 J of work. How many metres did the object move?
- 18.🏋️ A force of 490 N did 1470 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 20.🏋️ 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?
- 21.🏋️ 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)
- 22.🏋️ Pushing a crate 8 m took 2880 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 29.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 32.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 34.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 5 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.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 37.🏋️ A 4 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 smooth ramp is 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
Answer key
- 70
- 5
- 400
- 4
- 20
- through a distance
- 3
- 2
- less effort
- 110
- 5
- 100
- 20
- 5
- 2
- 4
- 1
- 3
- 6
- 560
- 400
- 360
- 3
- 780
- 2
- 6
- 80
- 50
- 950
- 900
- 2
- 30
- no, work stays the same
- 3
- 150
- 2250
- 160
- 950
- 150
- 5
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