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.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 2.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 360 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 4.🏋️ 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?
- 5.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 6.🏋️ A force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 9.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 10.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Pushing a crate 7 m took 980 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 30 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 16.🏋️ A force of 200 N did 1600 J of work. How many metres did the object move?
- 17.🏋️ 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)
- 18.🏋️ A force of 160 N did 960 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 7 m took 1820 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 410 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 230 N did 2300 J of work. How many metres did the object move?
- 24.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 6 m took 1320 J of work. What force was used, in newtons?
- 26.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ 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?
- 28.🏋️ A force of 430 N did 4300 J of work. How many metres did the object move?
- 29.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 7 m took 1120 J of work. What force was used, in newtons?
- 31.🏋️ A force of 50 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 9 m took 270 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 38.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- through a distance
- 350
- 2880
- 950
- 4
- 280
- 1050
- load ÷ effort
- 9
- 180
- 140
- 250
- 600
- 210
- no, work stays the same
- 8
- 200
- 6
- 260
- 2
- 3280
- 1000
- 10
- 1
- 220
- 620
- 40
- 10
- 570
- 160
- 250
- 250
- 100
- 30
- 4
- 800
- joule (J)
- 2
- 2
- 50
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