A 587 kg roller coaster car (includes mass of occupants) are passing through a vertical loop. The speed of the car at the top of the loop is 15.4 m/s. What radius of curvature (in meters) must the loop have at its very top in order for the occupants to experience a normal force which is 1/3 their weight?

Two students sitting in adjacent seats in a lecture room have weights of 602 N and 682 N. Assume that Newton's law of universal gravitation can be applied to these two students and find the gravitational force (in Newtons) that one student exerts on the other when they are separated by .596 m. Express your answer using scientific notation.

How many Earth radii above the Earth (not from its center) must you be located to experience an acceleration of gravity of 1.952 m/s/s. Express in terms of Earth-radii; that is, express the answer as the number of times greater than 6.38 x 10^6 m. Enter your answer to the third decimal place.

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A 587 kg roller coaster car (includes mass of occupants) are passing through a vertical loop. The speed of the car at the top of the loop is 15.4 m/s. What radius of curvature (in meters) must the loop have at its very top in order for the occupants to experience a normal force which ...

Solution Summary

This solution has step-by-step calculations and also annotated diagrams to answer the circular motion and weight questions. All formulas used are shown clearly.

In uniform circularmotion, the acceleration is perpendicular to the velocity at every instant. Is this true when the motion is not uniform, that is, when the speed is not constant?

A fighter pilot dives his plane toward the ground at 230 m/s. He pulls out of the dive on a vertical circle. What is the minimum radius of the circle, so that the normal force exerted on the pilot by his seat never exceeds three times his weight?

Hi. Can someone show me how to do the the following problem?
"A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m, and is whirled in a vertical circle in the same radius about a fixed point. Find the magnitude of the tension when the mass is at the top if its speed at the top is 5.73 m/s."
(I don

Circularmotionand Gravitation -
1. A car is traveling at 20 mi/h on a level road where the coefficient of static friction between the tires and the road is 0.8. Find the minimum turning radius of the car.
2. The acceleration of gravity on the surface of Mars is 0.4 g. How much will a person weigh on the surface of Mars i

The Moon revolves arond the earth in 27.3 days in a nearly circular orbit with a radius of 3.8 x 10^5 km. Assuming that the Moon's orbital motion is a uniform circularmotion, what is the Moon acceleration as it "falls" toward the earth?

A race car starts from rest on a circular track. The car increases its speed at a constant rate (At) as it goes 2.75 times around the track. Find the angle that the total acceleration of the car makes with the radius connecting the center of the track and the car at the moment the car completes its trip of 2.75 times around the

An object executing simple harmonic motion has a maximum speed of 4.3 m/s and a maximum acceleration of 0.65 m/s^2.
Find (a) the amplitude and (b) the period of this motion.

A car with a constant speed of 83.0 km/h enters a circular flat curve with a radius of curvature of 0.400 km. If the friction between the road and the car's tires can supply a centripetal acceleration of 1.25 m/s^2, does the car negotiate the curve safely? Justify the answer.

A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing (attached) illustrates. The crest of the second hill is circular, with a radius of r=36 m. Neglect friction and air resistance. What must be the height H of the first hill so that the skier just loses contract with

A velodrome is built for use in the Olympics. The radius of curvature of the surface is 20 m. At what angle should the surface be banked for cyclists moving at 18m/s? (choose an angle so that no frictional force is needed to keep the cyclists in their circular path. Large banking angles are used in velodromes.)