| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
| 2.5 ft. | |
| 10 ft. | |
| 5 ft. | |
| 200 ft. |
To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.Solving for db, our missing value, and plugging in our variables yields:
db = \( \frac{R_ad_a}{R_b} \) = \( \frac{40 lbs. \times 5 ft.}{40 lbs.} \) = \( \frac{200 ft⋅lb}{40 lbs.} \) = 5 ft.
According to Boyle's law, for a fixed amount of gas kept at a fixed temperature, which of the following are inversely proportional?
pressure, density |
|
pressure, volume |
|
volume, mass |
|
density, volume |
Boyle's law states that "for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional".
Normal force is generally equal to the __________ of an object.
density |
|
weight |
|
mass |
|
coefficient of friction |
Normal force arises on a flat horizontal surface in response to an object's weight pressing it down. Consequently, normal force is generally equal to the object's weight.
An inclined plane increases ___________ to reduce ____________.
distance, force |
|
force, distance |
|
distance, power |
|
force, power |
An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.
| 14ft⋅lb | |
| 175ft⋅lb | |
| 350ft⋅lb | |
| 700 ft⋅lb |