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Lana71 [14]
3 years ago
12

A 1200kg car is moving down a 30° hill. The driver applies the

Physics
1 answer:
lisov135 [29]3 years ago
3 0
864 N of constant force is required

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A 32.0 kg wheel, essentially a thin hoop with radius 1.20 m, is rotating at 280 rev/min. It must be brought to a stop in 15.0 s.
elena-14-01-66 [18.8K]

Answer:

A) Must be done 19806.62 joules of work.

B) The average power is 1320.44 Watts.

Explanation:

A) First, we're going to use the work-energy theorem that states total work (W) done on an object is equal to the change in its kinetic energy (\Delta K):

W=\Delta K = K_{f}-K_{i} (1)

So, all we must do is to find the change on kinetic energy. Because we're working with rotational body, we should use the equation K=\frac{I\omega^{2}}{2} for the kinetic energy so:

\Delta K=\frac{I(\omega_{f})^{2}}{2}-\frac{I(\omega_{i})^{2}}{2} (2)

with \omega_{i} the initial angular velocity, \omega_{f} the final angular velocity (is zero because the wheel stops) and I the moment of inertia that for a thin hoop is I=MR^{2}, using those on (2)

\Delta K=0-\frac{MR^{2}(\omega_{i})^{2}}{2} (3)

By (3) on (1):

W= \frac{MR^{2}(\omega_{i})^{2}}{2} = \frac{(32.0)(1.2)^{2}(29.32)^{2}}{2}

W=19806.62\,J

B) Average power is work done divided by the time interval:

P=\frac{W}{\Delta t}=\frac{19806.62}{15.0}

P=1320.44\,W

NOTE: We use the relation 1rpm*\frac{2\pi}{60s}=\frac{rad}{s} to convert 280 rev/min(rpm) to 29.32 rad/s

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4 years ago
You are stopped a red light and you are in the front car at an intersection. Thinking as a defensive driver, describe what your
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Proceed to go when the light turns green with caution watching out for other drivers to prevent and accident
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Define volume charge density <img src="https://tex.z-dn.net/?f=%20%28%20%5C%3A%20%5Crho%20%5C%3A%20%29%20" id="TexFormula1" titl
azamat

Answer:

Volume charge density: When the charge density is throughout the volume of a body, then the charge per unit volume is called volume charge density and it is represented by ρ.

∴ρ=

\frac{v}{p}

Hence the unit of ρ is Cm

−3

Example: If a charge q is uniformly distributed in the whole volume of a

sphere of radius R, then p =

\frac{q}{ \frac{4}{3} }  \pi {r}^{3} =3q/4πR-3

3 0
2 years ago
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A short ramp and a long ramp each reach a height of 1 m. Which
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Answer:

he longer ramp has more mechanical advantage for it requires less force to push up a mass while being over a longer period of time. Its called Mechanical Advantage because say you had to lift a car up 1-meter. you cannot simply pick it up, but over a long enough slope you would be able to because you can apply a small force over a longer distance

Explanation:

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HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE A student uses a spring scale attached to a textbook to compa
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1,860

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