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 smooth ramp is 4 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 3.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 4.🏋️ Pushing a crate 2 m took 980 J of work. What force was used, in newtons?
- 5.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 300 N did 2400 J of work. How many metres did the object move?
- 7.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 8.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 10.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 14.🏋️ A force of 360 N did 1800 J of work. How many metres did the object move?
- 15.🏋️ A force of 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 210 N did 2100 J of work. How many metres did the object move?
- 17.🏋️ A force of 380 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 6 m took 1140 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 340 N did 3400 J of work. How many metres did the object move?
- 28.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 30.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 31.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 32.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 35.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 37.🏋️ 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)
- 38.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 750
- 3
- no, work stays the same
- 490
- 800
- 8
- 3
- 350
- load ÷ effort
- 400
- 560
- 6
- 50
- 5
- 700
- 10
- 380
- 190
- 4
- 600
- 250
- 3
- 3
- 180
- 6
- 1760
- 10
- 1160
- 2
- 3
- 3900
- 170
- 200
- less effort
- 4
- 4
- 650
- 800
- 190
- 110
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