circular motion_在线真题试卷与模拟练习_circular motion

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When riding the Wild Thing roller coaster,the passengers feel 50% heavier than their actual weight as the car goes through a dip with a 30 m radius of curvature. What is thecar's speed at the bottom of the dip?

A pendulum has a length of 2.00m and has a mass attached to its end. The mass is pulled back 60.0° from the vertical before being released and allowed to swing downward. If thestring breaks under a tension of more than 20N,what is the maximum amount of mass that can be attached to string to allow the mass to swing without breaking the string?

A small 2.0kg block rests at the bottom of a bucket. The bucket is spun in a verticalcircle of radius L by a rope. When the bucket reaches the highest point in its motion, it moves just fast enough for the block to remain in place in the bucket. When thebucket is at an angle θ=30° from the vertical, as seen in the figure, what is themagnitude of the normal force (perpendicular to the surface) provided by the bucket onto the block? Note that the direction of the gravitational field is indicated in thediagram by g and that the block does not touch any sides of the bucket aside fromthe bottom of it.

A 2000kg car moves over a illat a constant speed of 12.0"At the very topof the hill, the shape of the road can be approximated as a circle with radius 25m, as indicated in the figure. Which one of the following choices best represents the magnitude of the upward force exerted by the road on the car?

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For an object moving in uniform circular motion, the magnitude of the centripetal acceleration is given by ac=v²/r,where v is the speed of the object,and r is the radius of the circle.The“jerk”is the rate of change of acceleration.For uniform circular motion, the magnitude of the jerk is given by:

An object starting from rest moves on a circular path with a radius 40 cm and a constant tangential acceleration of 10cm/s². How much time is needed after the motion begins for the centripetal acceleration of the object to be equal to the tangential acceleration?

Consider a situation where the acceleration of an object is always directed perpendicular to its velocity. This means that

A car moves with constant speed around a horse shoe-shaped path as shown with the arrows in the figure. Which one of the following choices best describes the direction of the average acceleration ofthe car in traveling from W to X?

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Satellite 1 makes a circular orbit around the Earth with a radius r₁=R.

Satellite 2 makes a circular orbit around the Earth with a radius r2 =2R.

We let v represent the speed of a satellite and a represent the magnitude of a satellite's acceleration. Which one of the following choices gives the correct relation between the speeds and accelerations of the satellites?

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A fighter jet pilot is capable of tolerating an upward force that is equivalent to seven times their weight. This pilot is traveling at a speed of 250 m/s while pulling out of a vertical dive. What is theminimum radius of curvature of the plane's dive path?

A)4.25m

B)3.64m

C)1042m

D)893m

E)450 m