Chapter 5: Circular Motion and Gravity

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Presentation transcript:

Chapter 5: Circular Motion and Gravity

A ball is whirled in a horizontal circle of radius r and speed v A ball is whirled in a horizontal circle of radius r and speed v. The radius is increased to 2r keeping the speed of the ball constant. The period of the ball changes by a factor of one half. one. two. three. four.

A ball is whirled in a horizontal circle of radius r and speed v A ball is whirled in a horizontal circle of radius r and speed v. The radius is increased to 2r keeping the speed of the ball constant. The period of the ball changes by a factor of one half. one. two. three. four.

The figure shows the position of a ball as it is being whirled in a vertical circle. At point (a), the direction of the centripetal acceleration is

The figure shows the position of a ball as it is being whirled in a vertical circle. At point (a), the direction of the centripetal acceleration is

Suppose a planet exists that has half the mass of earth and half its radius. On the surface of that planet, the acceleration due to gravity is twice that on Earth. the same as that on Earth. half that on Earth. one-fourth that on Earth. none of these.

Suppose a planet exists that has half the mass of earth and half its radius. On the surface of that planet, the acceleration due to gravity is twice that on Earth. the same as that on Earth. half that on Earth. one-fourth that on Earth. none of these.

R = Gv/M R = Gv/mM R = GmM/v R = GM/mv R = GM/v2 The radius R of a stable, circular orbit for a satellite of mass m and velocity v about a planet of mass M is given by R = Gv/M R = Gv/mM R = GmM/v R = GM/mv R = GM/v2

R = Gv/M R = Gv/mM R = GmM/v R = GM/mv R = GM/v2 The radius R of a stable, circular orbit for a satellite of mass m and velocity v about a planet of mass M is given by R = Gv/M R = Gv/mM R = GmM/v R = GM/mv R = GM/v2

As a satellite falls into a lower orbit, its speed decreases. is unchanged. increases. depends on the mass of the satellites. cannot be determined.

As a satellite falls into a lower orbit, its speed decreases. is unchanged. increases. depends on the mass of the satellites. cannot be determined.

Which of the following statements is one of Kepler's three laws of planetary motion? A line joining any planet to the sun sweeps out equal areas in equal times. Only an odd number of planets can orbit the sun. The period of any planet about the sun is proportional to the planet's distance from the sun. All planets move in elliptical orbits with the earth at one focus. F = GMm/R2

Which of the following statements is one of Kepler's three laws of planetary motion? A line joining any planet to the sun sweeps out equal areas in equal times. Only an odd number of planets can orbit the sun. The period of any planet about the sun is proportional to the planet's distance from the sun. All planets move in elliptical orbits with the earth at one focus. F = GMm/R2

Of the satellites shown revolving around Earth, the one with the greatest speed is 1 2 3 4 5

Of the satellites shown revolving around Earth, the one with the greatest speed is 1 2 3 4 5

Five masses are in orbit around a central mass Five masses are in orbit around a central mass. A is a distance R from the center, B is at 2R, C is at 3R, D at 4R and E is at 5R. Which planet has the longest period of revolution?

Five masses are in orbit around a central mass Five masses are in orbit around a central mass. A is a distance R from the center, B is at 2R, C is at 3R, D at 4R and E is at 5R. Which planet has the longest period of revolution?

A planet is orbiting a star in an elliptical orbit as shown A planet is orbiting a star in an elliptical orbit as shown. The speed of the planet when it is at A is _____ the speed when it is at B. less than equal to greater than

A planet is orbiting a star in an elliptical orbit as shown A planet is orbiting a star in an elliptical orbit as shown. The speed of the planet when it is at A is _____ the speed when it is at B. less than equal to greater than