A ferry boat makes a 180-degree turn in 12 minutes. The radius of the turn is 0.50 miles. What is its centripetal acceleration in meters per second squared during the turn? Note: There are 1,609 meters in 1 mile.

Earth's orbit is (on average) 1 Astronomical Unit from the Sun. For reference, 1 Astronomical Unit is about 93 million miles. Jupiter's orbit is about 5 Astronomical Units from the Sun. Suppose that the gravitational force between the Earth and the Sun is equal to 50,000 N (it's way more than that but we are just pretending here). If we move Earth to Jupiter's orbit, what will be the new value of the gravitational force between the Earth and the Sun?  Remember to include units of force (Newtons or N) in your answer.

A child attaches a rubber ball to a string and whirls it around in a circle overhead. If the string is 0.3 m long and the ball's speed is 19 m/s, what is the ball's centripetal acceleration?

An object circles the Sun at a distance equal to one half the Earth's distance from the Sun. How many years will it take the object to circle the Sun one time?

On a highway curve with radius 44 m, the maximum force of static friction (centripetal force) that can act on a 1,123-kg car going around the curve is 8,727 N. What speed limit should be posted for the curve so that cars can negotiate it safely in  m/s?

A meteor with a mass of 7.48 x 104 kg and is orbiting 408,819 meters above the Earth and at the speed of 5,068 m/s. What is the centripetal acceleration?

my question is: During a NASCAR race a car goes 68 m/s around a curved section of track that has a radius of 260 m. What is the car's acceleration?

There is a car weighing 2,182 pounds sitting on a hill with an incline of 17°. How much weight needs to be applied to the car to keep it from rolling down the hill? Round your answer to the nearest hundredth of a pound

What was the average speed in meters per second of a race car that travels once every 8 seconds around a circular track that has a radius of 80 meters?

Newton's Law of Gravitation 2. The magnitude of the acceleration of an object under the pull of Earth's gravity is given by Newton's Universal Law of Gravitation МЕ a = G R? where G is the universal gravitational constant, ME is the mass of Earth, and R is the distance of the object from the center of Earth. Let x be the distance above Earth's surface. We can rewrite the formula for the acceleration as a function of x by noting that R = Rp + x, where Rp is the radius of Earth. Therefore, МЕ a(x) = G- (RE + x)2 d. (a) Show that dx 1 1 (1 – x)* - x. (b) Use the above fact, along with the power series of 1 to determine a power 1- x 1 series for (1+x)²* (c) What is the radius of convergence for the series in part (b)? (Hint: You do not need to calculate anything. What is the radius of convergence for the power series of 1 does not change the radius of convergence.) -? This series has the same radius of convergence since taking a derivative