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 smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 190 N did 570 J of work. How many metres did the object move?
- 4.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 6.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 7.🏋️ 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?
- 8.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 9 m took 180 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 16.🏋️ 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?
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 3 m took 1320 J of work. What force was used, in newtons?
- 23.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 27.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 100 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ 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?
- 31.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 30 N did 300 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 35.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 36.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 39.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 170 N did 1360 J of work. How many metres did the object move?
Answer key
- 450
- 1240
- 3
- joule (J)
- load ÷ effort
- 2
- 120
- 6
- 3
- 550
- 20
- 750
- 210
- 4
- 3
- 160
- 550
- 450
- 170
- 360
- 800
- 440
- 2880
- 3
- 400
- 180
- 9
- 4
- 100
- 40
- 600
- 10
- 700
- no, work stays the same
- 430
- 70
- 6
- 5
- 950
- 8
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