Question

a person pushes a box up a ramp that is 3m long and 1 m high if the box has a mass of 20 kg and the person pushes with a force of 80 N what is the efficiency of the ramp

Answer 1

The efficiency of the ramp11%

Step-by-step explanation:

Let AC be the length of inclined plane or ramp = 3m (given)

BC be the height through which the load is lifted = 1m.

Load or Box (L) = 20kg

= 20×9.8 N = 196N

Effort (E) =
`\mathrm{L} * \sin (\theta)`

= 196 ×0.33 =64.68

where θ is the angle between AC and AB.

Therefore,

Mechanical Advantage (MA) =
`\frac{\mathrm{L}}{\mathrm{L} \sin (\theta)}`

MA = 0.33.

Now, Velocity Ratio (VR) =
`\frac{1}{\mathrm{h}}`

=
`\frac{\mathrm{AC}}{\mathrm{BC}}`

= 3/1 = 3

Efficiency =
`\frac{M A}{\mathrm{VR}}`

`\frac{M A}{\mathrm{VR}}`

=
`(0.33)/(3)`

=0.11 = 11% which is the efficiency of the ramp