Some important numbers you might use are:

g: 9.8N/kg (but not question 4)

G: 6.67x10^-11Nm^2/kg^2

Earth radius: 6.38x10^6m

Earth mass: 5.98x10^24kg

Sun mass: 1.99x10^30kg

QUESTION 1 A merry-go-round makes exactly 1 circle in 12.9 seconds. Calculate the magnitude of the centripetal acceleration of a rider with a turning radius of 5.21 m.

QUESTION 2 A centrifuge requires biological material to experience a centripetal acceleration of 9480 m/s^2. The material in the centrifuge has a turning radius of 5.68 cm. How many times a second must the centrifuge spin?

QUESTION 3 Road conditions can provide a maximum of 12700N of force to accelerate a 1380 kg car through a turn. If the radius of the turn is 94.0m, what is the maximum speed the car can travel through the turn? During this turn, the force provided by the road is equal to the net force on the car.

QUESTION 4 In South-East Asia, near where Mr. Su's school-year students are, the local values of g are around 9.78 N/kg. Please use that value of g for this question, and revert to 9.8N/kg elsewhere. A roller coaster travels along the bottom of a hill with a radius of 54.7 m. At this location, someone of mass 61.5 kg experiences a normal force of 2850N[up]. During this time, that person experiences only two vertical forces, normal force, and gravity. Calculate the speed at which the person is traveling.

QUESTION 5 A comet of mass 6.12x10^15 kg is 1.82x10^9 m away from the Sun. Use Newton's Law of Universal Gravitation to calculate the magnitude of the force of gravity between these two objects.

QUESTION 6 A satellite orbits the Earth in a perfect circle at a speed of 4.13x10^3m/s. Calculate the orbital radius of the satellite.

QUESTION 7 An astronomer discovers an asteroid that makes one orbit around the Sun in 888 days Given that it orbits the Sun in a perfect circle, What is its orbital radius? Remember you will need to convert days into seconds, 1 day = 86400 seconds.

Can you go to make it into a rough paper and remember to show all the directions and units for each of the questions, please?