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.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 2.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 4.🏋️ A force of 310 N did 2170 J of work. How many metres did the object move?
- 5.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 8.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 11.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 12.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 13.🏋️ 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
- 14.🏋️ 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?
- 15.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 16.🏋️ A force of 480 N did 2400 J of work. How many metres did the object move?
- 17.🏋️ 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)
- 18.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 50 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 190 N did 570 J of work. How many metres did the object move?
- 27.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ 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?
- 32.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 33.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
- 37.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 38.🏋️ A force of 290 N did 1740 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
Answer key
- 380
- 950
- less effort
- 7
- 180
- 4
- 150
- 10
- 400
- 3
- load ÷ effort
- 270
- no, work stays the same
- 160
- joule (J)
- 5
- 400
- 5
- 250
- 3
- 2
- 2
- 160
- 200
- 250
- 3
- 120
- 3
- 900
- 50
- 400
- 3
- 1400
- 560
- 3600
- 450
- through a distance
- 6
- 450
- 500
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