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 machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ 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?
- 4.🏋️ A 16 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 900 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 9.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 11.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 220 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 6 m took 1800 J of work. What force was used, in newtons?
- 14.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 390 N did 1950 J of work. How many metres did the object move?
- 19.🏋️ A force of 490 N did 1960 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 22.🏋️ A force of 210 N did 840 J of work. How many metres did the object move?
- 23.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 25.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A 7 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 force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 30.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 31.🏋️ A force of 310 N did 2790 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 33.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 37.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
Answer key
- 3
- 500
- 300
- 640
- 150
- through a distance
- 700
- no, work stays the same
- 200
- 70
- 400
- 1980
- 300
- 1000
- 10
- 900
- 40
- 5
- 4
- 470
- 410
- 4
- 430
- 9
- 60
- 950
- 140
- 130
- 6
- less effort
- 9
- 90
- 6
- 6
- 2
- 7
- 340
- 600
- 4
- 3
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