🌍 Circular Motion & Gravitation — Unit Quiz

An object moves in a circle at constant speed. Which of the following is true?

What provides the centripetal force for a car making a turn on a flat road?

According to Newton's Law of Universal Gravitation, if you double the distance between two masses, the gravitational force between them:

A satellite in a circular orbit experiences gravitational force directed:

A ball on a string is swung in a horizontal circle at constant speed. Select ALL true statements.

A car drives in a circle at constant speed. What is true about the car's acceleration?

If the speed of an object in uniform circular motion doubles (radius unchanged), the centripetal force required is:

A 0.5 kg ball on a 1.2 m string is swung in a horizontal circle at 4 m/s. What is the centripetal force on the ball?

Kepler's Third Law states that T² ∝ r³. Planet X has an orbital radius twice that of Planet Y. The orbital period of Planet X compared to Planet Y is:

A satellite orbits Earth in a stable circular orbit. Select ALL correct statements.

A planet orbiting closer to the Sun has what kind of orbital period compared to a planet orbiting farther away?

A 1200 kg car drives over the top of a hill (a circular arc of radius 80 m) at 20 m/s. What is the normal force on the car at the top? (g = 10 m/s²)

The International Space Station orbits at 400 km above Earth's surface (R_Earth = 6.4×10⁶ m, g_surface = 10 m/s²). Select ALL correct statements about astronauts aboard the ISS.

A satellite orbits Earth at radius r = 8×10⁶ m from Earth's center. (M_Earth = 6×10²⁴ kg, G = 6.67×10⁻¹¹ N·m²/kg²). (a) Find the orbital speed. (b) Find the orbital period in minutes.

A 0.3 kg ball on a 0.8 m string is swung in a vertical circle. (a) What minimum speed must the ball have at the top of the circle to maintain circular motion? (b) What is the tension in the string at the top at this minimum speed? (g = 10 m/s²)