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 longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 2.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
- 3.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 6.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 7.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 8.🏋️ A force of 380 N did 1520 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 10.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ 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
- 16.🏋️ A force of 310 N did 3100 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 460 N did 1380 J of work. How many metres did the object move?
- 20.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ 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)
- 24.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 160 N pushes a cart 6 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 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 320 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 34.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 450 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- less effort
- 3
- 2
- 440
- through a distance
- 2
- joule (J)
- 4
- 120
- 750
- 900
- 50
- 6
- 170
- no, work stays the same
- 10
- 650
- 750
- 3
- 1080
- 90
- 1240
- 100
- 650
- 120
- 150
- 700
- 960
- 330
- 800
- 60
- 320
- 150
- 1160
- 40
- 6
- 6
- 4050
- 250
- 50
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