| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
| 0 | |
| 55 | |
| -51.7 | |
| 440 |
What is the first step to solving a problem where multiple forces are acting on an object?
calculate the total force |
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calculate potential energy |
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calculate the net force |
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calculate kinetic energy |
In mechanics, multiple forces are often acting on a particular object and, taken together, produce the net force acting on that object. Like force, net force is a vector quantity in that it has magnitude and direction.
| 24 ft. | |
| 12 ft. | |
| 360 ft. | |
| 96 ft. |
To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.Solving for db, our missing value, and plugging in our variables yields:
db = \( \frac{R_ad_a}{R_b} \) = \( \frac{40 lbs. \times 9 ft.}{15 lbs.} \) = \( \frac{360 ft⋅lb}{15 lbs.} \) = 24 ft.
| 45 ft. | |
| 1.8 ft. | |
| 0.6 ft. | |
| 0 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 = \( \frac{R_ad_a}{R_b} \) = \( \frac{5 lbs. \times 9 ft.}{75 lbs.} \) = \( \frac{45 ft⋅lb}{75 lbs.} \) = 0.6 ft.
The standard unit of energy is the:
Horsepower |
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Joule |
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Watt |
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Volt |
The Joule (J) is the standard unit of energy and has the unit \({kg \times m^2} \over s^2\).