Figure P6.31

The car is fully loaded with passengers and has a total mass of 575 kg. At point A, the car is at the lowest point in a circular arc of radius  r1 = 12.4 m.  At point B, the car is at the highest point of a circular arc of radius  r2 = 17.3 m.   (a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point?   (b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?

A ball on a string is swung in a vertical circle. The string has a length of 0.7m. The ball has a mass of 0.4kg and is traveling with a speed of 9.2m/s at the top of the circle. What is the tension in the string (in Newtons) when the ball is at the top of the circle?   Your Answer: Question 3 options:         Answer units

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Bri is riding a roller coaster and encounters a loop. She is traveling 7.5 m/s at the top of the loop. The top of the loop has a radius of curvature of 3.9 m. Find the force that the loop exerted on Bri's 51 kg body at the top of the loop. Round your final answer to 1 decimal place.

In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal as shown in (Figure 1). At the very top of his arc, a 70 kg vaulter is moving at 2.9 m/s and is 5.5 m from the bottom end of the pole. What is the magnitude of the vertical force that the pole exerts on the vaulter? Express your answer with the appropriate units.

A metallic box begins at rest at point 1 at a height of 5R, where R is the radius of the circular part of the track. The box slides down the frictionless track and around the loop. If the box has a gravitational weight of 80 N, what is the magnitude of the normal force acting on the box at point 2?

"Spock decides to measure the gravitational acceleration on the surface of hishome planet, Vulcan. He does so by swinging a rock at the end of a massless cord in a vertical circle. In order to complete the full circle, Spock finds that the rock needs a minimum speed of 3.0 m/s at the top of the circle. If the radius of the circle is 1.0 m, what is the gravitational acceleration on the surface of Vulcan?" Im not sure which equation to use?

Consider the pendulum shown in the figure. The pendulum is released at point A, swings through its lowest point at point C, and reaches its turning point at point D. You may ignore the effects of air resistance. Answer the following questions: A В D C (a) Draw the free body diagram when the object is located at point B. (b) On your free-body diagram, draw a circle around the force components that contribute to the centripetal acceleration and draw a square around the force components that contribute to the tangential acceleration. (c) Draw the direction of the total acceleration vector when the object is located at point B.