At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders “plastered” against the wall. Suppose the radius of the room is 8.8 m and the coefficient of friction between the rider and the wall is 0.653, what is the minimum the safe speed of the wall for the rider not to drop when the floor falls away. Use g=9.8 m/s2.

A 1 kg Box slides down an inclined plane. It has an incline of 1.25664 radians and coefficient of kinetic friction of 0.44. What is the final speed of the Box if it started at rest and the change in height is 4 m? V =

As shown in the figure below, a box of mass m = 30.0 kg is sliding along a horizontal frictionless surface at a speed v₁ = 4.55 m/s when it encounters a ramp inclined at an angle of 0 = 28.0⁰. frictionless surface The coefficient of kinetic friction between the ramp and the box is μ = 0.0704 and the box slides a distance d up the ramp before coming momentarily to rest. (a) Determine the distance (in m) the box slides up the ramp before coming momentarily to rest. Ο OW₁ = -APE Wg OW, m (b) Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest. OW.. = AKE Net = W Net ΔΕ = W cons + W noncons ΔΕ = ΔΚΕ + ΔΡΕ Ο O all of these rough surface TTO noncons

You are driving your car on a straight road with a coefficient of friction between the tires and the road of 0.55. A large piece of debris falls in front of your view and you immediate slam on the brakes, leaving a skid mark of 30.5 m (100-feet) long before coming to a stop. A policeman sees your car stopped on the road, looks at the skid mark, and gives you a ticket for traveling over the 13.4 m/s (30 mph) speedlimit. Draw the FBD of the car with complete details.

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 box starts from rest and slides 40 m down a frictionless inclined plane. The total vertical displacement of the box is 20 m. How long does it take for the block to reach the end of the plane?

An online video daredevil is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The daredevil's mass is 82.0 kg, the vine is 11.0 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 7.60 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?

Caroline takes her baby sister Hannah to the neighborhood park and places her in the seatof the children’s swing. Caroline pulls the L = 1.8 m long chain back to make an angle θ = 26◦ withrespect to the vertical and lets 14 kg Hannah (swing mass included) go. (a) Determine Hannah’s speed at the lowest point in the trajectory. (b) What is the tension in the swing chain at this low point? Assume the chain itself has negligible mass.

A movie stunt performer is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The stunt performer's mass is 90.0 kg, the vine is 11.0 m long, and the speed of the stunt performer at the bottom of the swing has been determined to be 7.40 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking? Aa N Need Help? Read It

Denisse is playing a pinball machine. she notices that the 0.012 kg ball is shot from the plunger and moves into a circular path with a radius of 0.22 m. if the magnitude of the force necessary to keep the ball in the Circular path is 0.030 N, what is the speed of the steel ball?