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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 2.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A 4 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 6 m took 1860 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 10.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 210 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 13.🏋️ 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)
- 14.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 15.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 16.🏋️ 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?
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 24.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 3 m took 990 J of work. What force was used, in newtons?
- 26.🏋️ A force of 20 N did 160 J of work. How many metres did the object move?
- 27.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 30.🏋️ Pushing a crate 3 m took 1470 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 280 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 37.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 1
- 220
- 4600
- 680
- 250
- 80
- 310
- 450
- load ÷ effort
- 650
- 420
- 350
- 850
- 6
- through a distance
- 360
- 300
- 3
- 5
- 1000
- 350
- 80
- no, work stays the same
- 850
- 330
- 8
- 1
- 1000
- joule (J)
- 490
- 2
- 300
- 850
- 1680
- 2
- 4
- 2
- 6
- 2380
- 180
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