A roller coaster goes through a loop with radius 10 m (at the top). What speed is necessary for the riders to "feel" 1/5 their weight while passing through the loop? [In other words, the normal force is equal to 1/5 their normal weight] Give you answer in m/s to one decimal place.

Some of the most spectacular objects in the universe are fairly small: neutron stars are spheres with a diameter that's about 10km (they are remnants of old stars). Their spectacular nature is indicated by the fact that they are about as massive as the sun, i.e. 2 x 1030kg. What is the gravitational acceleration on the surface of such an object? Express your result as a multiple of g.

Two satellitess, and S, orbit around a planet P in circular orbits of radil r, = 5.15 x 106 m, and r, = 8.40 x 106 m respectively. If the speed of the first satellite S, is 1.65 x 10 m/s, what is the speed of the second satellite S,? m/s

A 5 kg mass is spun around in a circle of radius 2m with a period of 7 s. What equation would you use to find the centripetal force acting on the mass? Calculate the centripetal force acting on the mass. Possible Formulas that can be used to answer the question: v=(2πr)/T ac=v2/r ac=(4π2r)/T2 Fc=mac Fg=mg F=(Gm1m2)/d2 g=Gm/r2 T2=(4π2/Gm)r3 v=√(Gm)/r g=9.80m/s2 G=6.67x10-11 (N∙m2)/kg2

The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are ma = 397 kg, mB = 566 kg, and mc = 134 kg. Take the positive direction to be to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. B C 0.500 m 0.250 m (a) Number i 5.227E-5 Units N (b) Number i 3.411E-5 Units N (c) Number -8.638E-5 Units N

In the figure, three 7.82 kg spheres are located at distances d₁ = 0.226 m, and d₂ = 0.204 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C? (a) Number (b) Number IN M. d₁ A B ∙d₂ Units Units N ° (degrees)

A Ferris wheel has a radius of 30 m and its centre is 32 m above the ground. It rotates once every 48 s. Ethan gets on the Feris wheel at the lowest point and then the wheel starts to rotate. The amount of time it takes Ethan to reach 38 m above the ground for the first time, to the nearest tenth of a second, is S. Your answer

In the figure, three 6.49 kg spheres are located at distances d = 0.136 m, and d2 = 0.439 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C? B (a) Number Units (b) Number i Units

What is the maximum speed (in m/s) that a car with a mass of 370 kg can have at point B in order for its weight to hold it to the track? (Hint: treat the car's motion at point B like uniform circular motion; the weight of the car is providing the centripetal force. How fast can the car go while remaining in its circular path?)

Deimos, a moon of Mars, is about 12 km in diameter with mass 2.0 × 10¹5 kg. Suppose you are stranded alone on Deimos and want to play a one-person game of baseball. You would be the pitcher, and you would be the batter! a. With what speed would you have to throw a baseball so that it would go into a circular orbit just above the surface and return to you so you could hit it? Do you think you could actually throw it at this speed? b. How long (in hours) after throwing the ball should you be ready to hit it? Would this be an action-packed baseball game?