The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function of time is given by
x(t) = r cos(ωt) y(t) = r sin(ωt),
where r = 3.84 x 10^8 m and ω = 2.46 x 10^-6 radians/s. What is the average velocity of the Moon measured over the interval from t = 0 to t = 4.68 days? Find its magnitude, in m/s, and find its direction, given as an angle measured counterclockwise from the positive x-axis.

The Moon orbits the Earth in an approximately circular path. The position of the Moon as...
The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function of time is given by x(t) = r cos(ωt) y(t) = r sin(ωt), where r = 3.84 108 m and ω = 2.46 10-6 radians/s. What is the average velocity of the Moon measured over the interval from t = 0 to t = 3.28 days? Find its magnitude, in m/s, and find its direction, given as an angle measured counterclockwise from...
The Moon orbits the Earth in an approximately circular path. The position of the moon as a function of time is given by: x(t)-cos(wt) y(t) = r sin(ωt) where r 3.84 x 108 m and - 2.46 x 10-5 radians/s. What is the average velocity of the Moon measured over the interval from t to t 3.02 days? Find its magnitude and direction, given as an angle measured counterclockwise from the positive x-axis. 822.7 magnitude How is average velocity calculated...
What is the angular momentum of the moon about the Earth? The mass of the moon is 7.35 x 10^22 kg, the center-to-center separation of the Earth and the moon is 3.84 x 10^5 km, and the orbital period of the moon is 27.3 days. How do you get 3.84 x 10^8? v = 2 x pi x r/T L = m x 2 x pi x r x r/ T L = (7.35 x 10^22 x 2 x 3.14...
the moon orbits the earth in uniform circular motion. this means that the moon's acceleration vector points? a-towards the earth perpindicular to its velocity b-away from from the earth perpindicular to its velocity c-parallel to velocity d- nowhere, magnitude is zero
1. The moon orbits the earth at a distance of 3.85 times 10^8 m. Assume that this distance is between the centers of the earth and the moon and that the mass of the earth is 5.98 x 10^24 kg. Find the period for the moon's motion around the earth. Express the answer in days. 2. A 0.0296 kg ball is shot from the plunger of a pinball machine. Because of a centripetal force of 0.0485 N, the ball follows...
What centripetal force is exerted on the Moon as it orbits about Earth at a center-to-center distance of 3.84 × 10 8 m with a period of 27.4 days? What is the source of the force? The mass of the Moon is equal to 7.35 × 10 22 kg. Please draw a free body diagram too.
The international space station (ISS) orbits the Earth with an approximately circular orbit 420 km above Earth's surface (6790 km above the center of the Earth). Suppose one evening the ISS passes in front of the full moon - which subtends an angle of 30 arc minutes (0.5 degrees)- in such a way that it exactly bisects the moon. How long will it take to cross in front of the Moon from one end to the other, as viewed by...
calculus 3
8. The position of a particle moving in a circular path is given by r(t) =< -4 sin(3t), 4 cos(3t) >. Find the speed v of the particle at any time t.
A 7.0 × 10 21 kg moon orbits a distant planet in a circular orbit of radius 1.5 × 10 8 m . It experiences a 1.1 × 10 19 N gravitational pull from the planet. Part A What is the moon's orbital period in earth days?
A 3.0 x 1021 kg moon orbits a distant planet in a circular orbit of radius 1.5 × 108 m. It experiences a 1.1 X 1019 N gravitational pull from the planet. Part A What is the moon's orbital period in earth days?