at what height above the Earth's surface would your weight be 12% yor weight on the surface? use earth's radius R as the unit,e,g if your answer is 0.888 Rm then enter 0.888

1. Neglecting the latitudinal variation in the radius of the earth, derive a formula for the angle a between the gravitational acceleration vector go and the effective gravity Jeff at the surface of the earth as a function of latitude o. [Draw a labelled diagram showing the Earth with go, Jeff and the centrifugal acceleration at latitude ø. Be careful to identify all dependence on o.] At what latitude is the angle a a maximum and what is its maximum value? Next, derive a formula relating Jeff ² to go and , and use it to prove that ef≈ go for any o. Find the ratio of the maximum centrifugal acceleration to go. [~ Holton 1.1]

For the infamous water slide Verruckt (51.38 m, world tallest in 2014) that led to the fatal accident of the 10-yr-old son of Kansas state legislator Scott Schwab in 2016, it was caused by the over-speed of the ride raft went airborne passing the second hump of the slide. If the maximum speed of the raft to avoid airborne(and the fatal accident) is 22.7 miles/hr, what is the radius of the second hump(drop) as an arch, in unit of meter?

A roller-coaster car has a mass of 1120 kg when fully loaded with passengers. As the car passes over the top of a circular hill of radius 21 m, its speed is not changing. (a) At the top of the hill, what is the normal force (using the negative sign for the downward direction) FN on the car from the track if the car's speed is v = 7.6 m/s? (b) What is EN if v = 19 m/s? Use g=9.81 m/s².

plz, physics , please solve question 10

A student spins a rubber stopper, tied to a string, over his head in a horizontal circle. The radius of the circle is, r, meters and the stopper has a mass of, m, grams. The stopper has period of, T, seconds, which results in a tension, 6.3 N. If the radius of the swing was changed by a factor of 2.4, what would be the resulting tension? Give your answer to 3 sig figs (1 decimal place in this case)

A 3.00 kg mass is placed on an incline of 35 degrees. What is the parrellel componet of the gravitational force directed down the incline?

What "g-force" acts on an Air Force Thunderbird pilot (mass = 78-kg) who, at the top of a loop of radius 8.5 x 102 meters, is traveling at a speed of 320 knots? 1 knot = .5144 m/s "g-force" in this case is equivalent to the normal force acting the pilot Give your answer in Newtons to the correct significant figures (2 in this case).

Asteroid Toutatis passed near Earth in 1992 at nine times the distance to our Moon. If it has a mass of 5.0 ✕ 1013 kg, what force (in N) did it exert on Earth at its closest approach in 1992? (Enter the magnitude.)

I need help solving the problems below