8. You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 55.0 m, how fast must the cart be moving in order for you to feel 2.75 times as heavy at the bottom of the loop? X 44.98 m/s Show my other submissions

1. Toss a solid object at 22 m/s at a 35° angle from 1.2 m off the ground. (a) How high will it go? (b) Find the time needed to hit the ground. (c) How far will it go? (c) With what speed will it hit the ground?

2. A 50 kg person is sitting on a bathroom scale while riding on a Ferris Wheel. The Ferris Wheel has a radius of 8 m. The scale reads 600 N when the person is at the bottom of the motion. Find the person's speed. 3. A 0.2 kg ball, attached to a string, is moving in a vertical circle. The ball's speed is 7 m/s and the tension in the string is 8 N when the ball is at the top of its path. Find the radius of the motion.

Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 22.0 m as in the figure below. If the car travels at 27.4 km/h what force does the road exert on the car as the car passes the highest point of the hump?  What is the maximum speed the car can have without losing contact with the road as it passes this highest point?

circle. Ezra swings the ball so that it always has constant speed of v = 4.82 m/s. The radius of the swing is r = 0.787 m and Ezra's hand is H = 1.40 m above the ground as shown. y H

7:31 l LTE 4 1 Safari A Ferris wheel is traveling at a constant speed in a counter-clockwise direction as shown in the diagram. The people at location P are accelerating which direction? D A) A В) В C) C D) D A 35 kg girl sitting on a Ferris wheel is moving at a speed of 8.0 m/s. If the girl is 15.0 m from the axis of the carousel, what is the centripetal force that maintains her circular motion? A 25 kg girl sitting on a carousel is moving at a speed of 4.0 m/s. If the centripetal force acting on the girl is 45 N how far from the axis of the carousel is she sitting?

Under good conditions, a car can travel at a maximum speed of vmax around a particular unbanked curve.  In the aftermath of an ice storm, however, driving at that same speed will cause the car to slide off the road.  Which of the statements below best describes why this is true?   a. The friction force is no longer strong enough to balance the centripetal force and give the car zero acceleration.   b. The friction force is needed to do negative work on the car to reduce the car’s kinetic energy.   c. The friction force no longer provides a strong enough unbalanced force to change the car’s velocity quickly enough to stay on the curve.   d. The car “floats” on the ice reducing the gravitational force which is what keeps the car on the road.   e. [All of the above.]

3. A 1000-g ball is tied to a string 60 cm long and is whirled in a vertical circle at 1 revolution per second. If the tension at the highest point is zero, what is the speed of the body at the highest point? 4. A body is moving along a circular path of radius 2.86 m. If the centripetal force on the body is three times its weight, find the period pf the motion.

A circus motorcycle acrobat is trying to calculate the speed required to perform a loop- the-loop with a motorcycle. The loop has a radius of 10 m. At what speed must the motorcycle enter the loop at the bottom to negotiate a complete loop against gravity, without the use of its engine while in the loop? We do not have enough information. Mass is required. b) More than 20 m/s. c) More than 25 m/s. Exactly 20 m/s. Exactly 25 m/s.

A 700-g rock is attached to a half-meter (massless) string and is spun on the other end on vertical plane. The rock makes a complete revolution every 0.21 seconds. What is the tension of the string at the top of the circular trajectory, and at the bottom of the circular trajectory? What is the difference in total energy at the top and bottom of the trajectory?