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Digiron [165]
3 years ago
11

A 535 kg roller coaster car began at rest at the top of a 93.0 m hill. Now it is at the top of the first loop-de-loop.

Physics
2 answers:
fomenos3 years ago
8 0

B) The car has both potential and kinetic energy, and it is moving at 24.6 m/s.

Explanation:

Since the track is frictionless, the total mechanical energy of the car is constant, and it is always sum of the kinetic energy (K) and potential energy (U):

E=K+U

At the beginning, when the car is at rest at the top of the hill, all its energy is just gravitational potential energy (because the velocity is zero, so the kinetic energy is zero), so the mechanical energy is:

E=U_0=mgh=(535 kg)(9.8 m/s^2)(93.0 m)=487,599 J

At the top of the loop-de-loop, the car will have both potential energy (because it has a certain height above the ground) and kinetic energy (because it has some speed), but the total will still be the same:

E=U+K=487,599 J

We can calculate the potential energy at this point:

U=mgh=(535 kg)(9.8 m/s^2)(62.0 m)=325,066 J

So, the kinetic energy must be

K=E-U=487,599 J-325,066 J=162,533 J

And since the kinetic energy is related to the speed v by:

K=\frac{1}{2}mv^2

we can find the speed of the car at the top of the loop-de-loop:

v=\sqrt{\frac{2K}{m}}=\sqrt{\frac{2\cdot 162,533 J}{535 kg}}=24.6 m/s

iVinArrow [24]3 years ago
4 0
Using g = 9.8 m/s2, the statement that best describes the roller coaster car when it is at the top of the loop-de-loop is that The car has both potential and kinetic energy, and it is moving at 24.6 m/s. The correct answer is <span>B) The car has both potential and kinetic energy, and it is moving at 24.6 m/s.</span>
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A sailor strikes the side of his ship just below the waterline. He hears the echo of the sound reflected from the ocean floor di
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2625 m deep

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A large meteoroid enters the Earth's atmosphere at a speed of 20.0 km/s and is not significantly slowed before entering the ocea
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The shock wave from the meteoroid in the lower atmosphere has a Mach angle of 0.948°.

(a) The meteoroid's speed v_s=20 \mathrm{~km} / \mathrm{s}

$=20 \times 10^3 \mathrm{~m} / \mathrm{s}$

Air sound wave speed &v=331 \mathrm{~m} / \mathrm{s} \\

Speed of the shock wave in Mach &\qquad \theta=\sin ^{-1}\left(\frac{v}{v_s}\right)

                                                            $$\begin{aligned}&=\sin ^{-1}\left(\frac{331 \mathrm{~m} / \mathrm{s}}{20 \times 10^3 \mathrm{~m} / \mathrm{s}}\right) \\&=0.948^{\circ}\end{aligned}$$

Hence, 0.948° is the Mach angle of the shock wave from the meteoroid in the lower atmosphere.

<h3>What is the speed of the meteoroid?</h3>

A meteoroid's speed can be loosely broken down into three categories: slow, medium, and fast.

  • Slow meteors move around the sun at a leisurely pace of about 32 kilometers per second (20 miles per second).
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To learn more about meteoroid, visit:

brainly.com/question/1939309

#SPJ4

5 0
1 year ago
how much time would it take for the sound of a thunder to travel 1,500 meters if sound travelers at a speed of 330 m/sec?
inysia [295]

(1,500 meters) x (1 sec/330 meters) =

(1,500 / 330) (meters-sec/meters) =

4.55 seconds

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