Using what you know about uniform circular motion and your equations, answer the questions below. What happens to the centripetal force if the mass increases by factor of 2 and speed and radius are held constant? What happens to the centripetal force if the velocity decreases by factor of 4 and mass and radius are held constant? What happens to the radius of the circle if the centripetal force decreases by factor of 2 and mass and speed are held constant?

The MAVEN orbiter orbits Mars with a period of 4.5 hours. How far (in km) above the surface of the planet is it? (The mass of Mars is 6.42 × 1023 kg, and the radius of Mars is 3.40 × 10³ km.) Part 1 of 3 The period of the orbiter's orbit can give us the speed at which the orbiter orbits the planet. We imagine the orbiter tracing a circle around the planet I a certain height, the speed is Part 2 of 3 V = 2πr P Next, we combine this with the circular velocity equation to determine the height above the planet's surface. 2πr P 202 = GM r GM r Squaring both sides and solving for r gives the following equation. What is the exponent for r? GM 4π² Submit Skip (you cannot come back)

Use the diagram and the fact that Planet A has a nearly circular orbit while Planet B has a highly elliptical orbit to answer the following questions. Use examples of Newton’s and Kepler’s laws in your answers. a. Does Planet B travel faster or slower when it is closest to the Sun than at other times? Explain your answer. b. Which planet takes longer to orbit the Sun? Explain your answer. c. Does the gravitational attraction between these planets increase or decrease as their orbits move them closer together? Explain your answer.  d. Which planet has the highest average orbital speed? Explain your answer. e. Which planet travels at about the same speed throughout its orbit? Explain your answer.

Imagine you are a passenger upside-down at the top of a vertical looping roller coaster. The centripetal force acting on you at this position: (K:1) Select one: O a. lower than anywhere else in the loop O b. directed vertically downward O c. supplied by the seat of the rollercoaster O d. supplied by gravity

can you please help me out with question 11 a. Calculate the gravitational force between Earth and Moon. b Using the acceleration of Moon as determined from the force calculated in (a) and assuming a circular orbit, calculate the period of Moon in days.   c. If Earth suddenly disappeared, the gravitational force of Earth on Moon would become 0N (zero Newtons). How would the path of Moon change?

Hey, could I get help with these questions please? 2. Earth is a spherical body, of radius 6,376km, which completes a full rotation about its axis in 24h. How long (in hours) should the day on Earth be so that a person at the equator is able to float freely above the ground? 3.Three lead spheres, of mass 10kg each, are located at three corners of a square of side length 45cm, (figure uploaded below). A bead is released at the forth corner. By considering the gravitational forces among the four objects only, determine the magnitude and direction of the acceleration of the bead when released.