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 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 50 N did 450 J of work. How many metres did the object move?
- 3.🏋️ A force of 240 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 160 N did 1440 J of work. How many metres did the object move?
- 5.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 6.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 7.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 9.🏋️ 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
- 10.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 11.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 14.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ 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?
- 16.🏋️ A force of 390 N did 3120 J of work. How many metres did the object move?
- 17.🏋️ A force of 220 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 20.🏋️ A force of 150 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 22.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 430 N did 4300 J of work. How many metres did the object move?
- 24.🏋️ A force of 30 N did 240 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 28.🏋️ A force of 430 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 220 N did 1320 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 37.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 38.🏋️ A force of 120 N did 240 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
Answer key
- 3
- 9
- 960
- 9
- less effort
- 6
- 600
- through a distance
- no, work stays the same
- load ÷ effort
- 130
- 1000
- 8
- 200
- 10
- 8
- 880
- 480
- 3
- 750
- 2
- 780
- 10
- 8
- 6
- 100
- 90
- 860
- 330
- 50
- 850
- 6
- 600
- 3
- 100
- 160
- 9
- 2
- 6
- 3
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