A 55.8kg ice skater is moving at 4.03 m/s when she grabs the loose end of rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.797 m around the pole . A.)Determine the force exerted by the horizontal rope on her arms. B.) what is the ratio of this force to her weight

The diagram below is an official schematic of a velodrome, where track cycling takes place. The riders can goaround the track at up to 90 km/h. Assume that a biker is taking the steep turn (with maximum angle as shown) at aspeed of 82 km/h and that the turn has a radius of 25 m. a. Determine the coefficient of friction required to keep on the track. b. Explain why the track is banked (i.e. explain what would happen if the track were horizontal).

Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. a.Find the y component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN.  b.  Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN.  c.  Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ.  d.  Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v.  e.Now assume that the car is moving at 15 m/s and the radius of the track is 130 m. What is the angle θ in degrees?

A child ties a 0.3 kg stone to one end of a string. Holding the other end, the child whirls the stone in a vertical circle of radius 0.9 m. a. At the top of the circle, the speed of the stone is 8 m/s. What is the tension in the string? Draw the free body diagram. b. At the bottom of the circle, the speed of the stone is 9 m/s. What is the tension in the string? Draw the free body diagram. c. The string can withstand a maximum tension of 40 N before it breaks. The child whirls the stone faster and faster. At what point on the circle does the string break? Show this point on a circle, then draw the trajectory of the stone after breaking. Make sure you clearly show the direction of the stone immediately after the string breaks. d. What is the speed of the stone as the string breaks?

A hang glider and its pilot have a total mass equal to 120 kg. While executing a 360 degree turn, the glider moved in a circle with an 8 m radius at a speed of 10 m/s  a) What is the net force on the hang glider? b) What is the acceleration?

Multiple Correct: A child whirls a ball at the end of a rope, in a uniform circular motion. Which of the following statements is true? Select two answers. A.​​​​​​​The velocity of the ball is constant B.​​​​​​​The net force on the ball is directed outwards C.​​​​​​​The magnitude of the ball's acceleration is constant D.​​​​​​​The speed of the ball is constant

2. Two weights (750 g each) are tied together by a string and swung at a high rate of speed in a vertical circle. The inner string attached to the inner weight is 54.0 cm long and the outer string that connects the two weights is 36.0 cm long. a) On a particular time around the outer weight is traveling at 7.20 m/s at its highest point when the strings are vertical. Draw a force diagram for each weight. b) What is the angular speed of each weight at the highest point? What is the acceleration of each weight? c) What is the tension force of the outer string on the outer weight at this highest point? d) What is the tension force of the inner string on the inner weight at the highest point? e) Assume the weights are traveling the same speed when they reach their lowest point and the strings are vertical. What is the tension for of the outer string on the outer weight and the tension force of the inner string on the inner weight at this lowest point? Why are these different answers than in…

A 500.0 g ball swings in a vertical circle at the end of a 1.50 m long string. When the ball is at the bottom of the circle, the tension in the string is 15.0 N. 1.50 m v= ? a) What is the speed of the ball at the lowest point? b) Assuming that the speed remains constant, what is the tension in the string at the highest point?

A 69.0-kg ice skater is moving at 4.09 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.900 m around the pole. (a) Determine the magnitude of the force exerted by the horizontal rope on her arms. kN (b) Compare this force with her weight. rope W

1. A car of mass M goes over a semi-circular hill of radius R. At the time shown the car has a speed v, and is speeding up at a rate g/3 which is larger than g sin . Assume the car does not lose contact with the ground. +x a. Draw the free body diagram showing the forces acting on the car. b. Write out Newton's 2nd law in the x and y directions as shown using the names of the forces in the FBD, and vo, R, 0, and/or g. Use the coordinate system shown. X: y: c. What is the normal force acting on the car in terms of M,0, vo, R, and/or g? d. What is the friction force acting on the car? e. How fast would the car have to be traveling at if it just lost contact with the ground at the point shown?