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If a wheel completes 10 rotations in 5 seconds, what is its average angular speed in rad/s?
2Ο rad/s
4Ο rad/s
10Ο rad/s
20Ο rad/s
A point on a rotating disc is 0.5m from the center. If its linear speed is 2 m/s, what is its angular speed?
1 rad/s
2 rad/s
4 rad/s
8 rad/s
A planet revolves around a star in an elliptical orbit. At what point in its orbit is the planet's speed maximum?
When it is closest to the star (perihelion)
When it is farthest from the star (aphelion)
When it is at the midpoint of the semi-major axis
The speed is constant throughout the orbit
Two satellites A and B are orbiting Earth at different altitudes. Satellite A is at a higher altitude than B. Which statement is correct regarding their orbital speeds?
Satellite A has a higher orbital speed than B.
Satellite A has the same orbital speed as B.
Satellite A has a lower orbital speed than B.
The orbital speed depends on the mass of the satellite.
The escape velocity of an object from Earth's surface is approximately 11.2 km/s. If a satellite is orbiting Earth at a speed of 8 km/s, which statement is true?
The satellite will escape Earth's gravity.
The satellite is in a bound orbit.
The satellite's speed is greater than the escape velocity.
The satellite will fall back to Earth immediately.
The root mean square speed of gas molecules is related to their average kinetic energy. Which of the following correctly represents this relationship?
A container of fixed volume holds an ideal gas at a pressure and temperature . If the root mean square speed of the gas molecules is doubled while maintaining the same number density, what is the new pressure?
P
2P
3P
4P
The rms speed of the molecules of a gas at a certain temperature is . If the temperature is increased by a factor of 4, what is the new rms speed?
v/2
v
2v
4v
If the pressure of an ideal gas is doubled while keeping the volume constant, what happens to the rms speed of the gas molecules?
Remains the same
Doubles
Increases by a factor of β2
Halves
A car travels 30 m in 2 seconds and then 40 m in another 3 seconds in the same direction. What is its average speed?
10 m/s
14 m/s
7 m/s
20 m/s