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 4 m took 480 J of work. What force was used, in newtons?
- 2.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 5.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 6.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ 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)
- 8.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 9.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 10.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 11.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 60 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 110 N did 880 J of work. How many metres did the object move?
- 17.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 18.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 7 m took 3080 J of work. What force was used, in newtons?
- 21.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 25.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 16 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 force of 350 N did 2450 J of work. How many metres did the object move?
- 32.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 320 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 36.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
Answer key
- 120
- 170
- 1000
- 4
- less effort
- 900
- 650
- 160
- load ÷ effort
- no, work stays the same
- 300
- 300
- 2030
- 140
- 2
- 8
- through a distance
- 480
- 130
- 440
- 7
- 2
- 150
- 960
- joule (J)
- 650
- 930
- 240
- 2
- 160
- 7
- 1
- 300
- 960
- 360
- 100
- 2
- 900
- 810
- 1
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