| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
Sam can do 50 ft. lb. of work in 2 minutes and 5 seconds. What would Sam have to do to increase his power output?
do the work in 3 minutes |
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do the work in 2 minutes |
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do 100 ft. lb. of work in 4 minutes 12 seconds |
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do 25 ft. lb. of work in 2 minutes 5 seconds |
Power is the rate of doing work or \(\frac{W}{t}\). To increase power, increase the work being done in the same amount of time or do the same amount of work in less time.
| 50 ft⋅lb | |
| 250 ft⋅lb | |
| 0 ft⋅lb | |
| 125 ft⋅lb |
Which of these is the formula for kinetic energy?
\(KE = {m \over v^2 }\) |
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\(KE = {1 \over 2}mv^2\) |
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\(KE = mgh\) |
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\(KE = {1 \over 2}mh^2\) |
Kinetic energy is the energy of movement and is a function of the mass of an object and its speed: \(KE = {1 \over 2}mv^2\) where m is mass in kilograms, v is speed in meters per second, and KE is in joules. The most impactful quantity to kinetic energy is velocity as an increase in mass increases KE linearly while an increase in speed increases KE exponentially.
| 60 lbs. | |
| 120 lbs. | |
| 15 lbs. | |
| 0 lbs. |
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 Ra, our missing value, and plugging in our variables yields:
Ra = \( \frac{R_bd_b}{d_a} \) = \( \frac{50 lbs. \times 6 ft.}{5 ft.} \) = \( \frac{300 ft⋅lb}{5 ft.} \) = 60 lbs.
The science that deals with motion and the forces that produce motion is called which of the following?
aeronautics |
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mechanics |
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physics |
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engineering |
Mechanics deals with motion and the forces that produce motion.