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Dafna1 [17]
3 years ago
15

As seen from above, a playground carousel is

Physics
1 answer:
Vadim26 [7]3 years ago
4 0

Answer:

The final angular speed of the carousel is 1.68 rad/s.

Explanation:

This is simply a conservation of angular momentum problem.

\vec{L}_0 = \vec{L}_1\\L_0 = I_0\omega_0 = 125*3.14 = 392.5\\L_1 = I_1\omega_1 = (mR^2 + I_0)\omega_1 = (48*1.5^2 + 125)\omega_1 = 233\omega_1

Combining the two equations yields the angular momentum of the carousel after the man climbs.

392.5 = 233\omega_1\\\omega_1 = 1.68~rad/s

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If the range of a projectile's trajectory is six times larger than the height of the trajectory, then what was the angle of laun
zvonat [6]

Answer:

H = 1/2 g t^2    where t is time to fall a height H

H = 1/8 g T^2   where T is total time in air  (2 t  = T)

R = V T cos θ       horizontal range

3/4 g T^2 = V T cos θ       6 H = R    given in problem

cos θ = 3 g T / (4 V)           (I)

Now t = V sin θ / g     time for projectile to fall from max height

T = 2 V sin θ / g

T / V = 2 sin θ / g

cos θ = 3 g / 4 (T / V)     from (I)

cos θ = 3 g / 4 * 2 sin V / g = 6 / 4 sin θ

tan θ = 2/3      

θ = 33.7 deg

As a check- let V = 100 m/s

Vx = 100 cos 33.7 = 83,2

Vy = 100 sin 33,7 = 55.5

T = 2 * 55.5 / 9.8 = 11.3 sec

H = 1/2 * 9.8 * (11.3 / 2)^2 = 156

R = 83.2 * 11.3 = 932

R / H = 932 / 156 = 5.97        6 within rounding

3 0
2 years ago
A coach shouts "Go!" from the finish line of a 100.0-m track to the runners.
irina [24]

Answer:

a. Speed = 342.5 meters per seconds.

b. Wavelength = 2.0 meters

Explanation:

Given the following data;

Distance = 100m

Time = 292 milliseconds to seconds = 292/1000 = 0.292 seconds

Frequency = 171 Hz

a. To find the speed of sound in air;

Speed = distance/time

Speed = 100/0.292

Speed = 342.5 m/s

b. To find the wavelength;

Wavelength = speed/frequency

Wavelength = 342.5/171

Wavelength = 2.0 m

5 0
3 years ago
Sodium is a soft, light, extremely malleable silver-white metal that reacts explosively with water. Chlorine is a highly irritat
Arte-miy333 [17]

the sodium chloride will be a crystal

it will have a giant crystal lattice

5 0
3 years ago
The speed of sound in wood is ____ the speed of sound in water. Question 23 options: less than greater than the same as depends
AURORKA [14]

Answer:

Less than

Explanation:

Speed of sound increases with density of the medium.  Since wood is less dense than water, the speed of sound is lower in wood.

7 0
3 years ago
Answer it and get 100 points.​
Alex Ar [27]

Answer:

because metals a good conductor of electricity.

Explanation:

Metal particles are held together by strong metallic bonds, which is why they have high melting and boiling points. The free electrons in metals can move through the metal, allowing metals to conduct electricity.

4 0
3 years ago
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