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 smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 3.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 4.🏋️ A force of 380 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 6.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 7.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 12.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 350 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 16.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 17.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 19.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ 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?
- 24.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 26.🏋️ 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)
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 5 m took 950 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 360 N did 3240 J of work. How many metres did the object move?
- 31.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 33.🏋️ A force of 200 N did 1600 J of work. How many metres did the object move?
- 34.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 35.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 140 N did 700 J of work. How many metres did the object move?
- 38.🏋️ A force of 450 N did 900 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 450
- 5
- through a distance
- 1900
- 6
- joule (J)
- 620
- 4
- 1160
- 1200
- less effort
- 450
- 3
- 3150
- 3
- no, work stays the same
- 450
- 40
- 80
- 270
- 9
- 300
- 30
- 780
- 4
- 300
- 350
- 190
- 4
- 9
- 700
- load ÷ effort
- 8
- 8
- 170
- 2
- 5
- 2
- 850
- 120
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