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 1 800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 19.6 m (a) If the car travels at 25.0 km/h what force does the road exert on the car as the car passes the highest point of the hump? magnitude N direction (b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point?

A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 9.00 m. At point A the speed of the car is 11.6 m/s, and at point B, the speed is 12.6 m/s. Assume the child is not holding on and does not wear a seat belt. B A 30° (a) What is the force (in N) of the car seat on the child at point A? (Enter the magnitude.) 205.6 ✓N (b) What is the force (in N) of the car seat on the child at point B? (Enter the magnitude.) XN 109.8 (c) What minimum speed (in m/s) is required to keep the child in his seat at point A? 9.40 m/s

In the figure, a stuntman drives a car (without negative lift) over the top of a hillI, the cross section of which can be approximated by a circle of radius R = 285 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill? %3D Number i Units

A stone that is connected to a string is being rotated horizontally. The stone completes one full circle every second; and the magnitude of the tension in the string is F-. What happens to the tension in the string if the stone speeds up such that it goes around the circle twice every second while the radius stays the same. O The magnitude of the tension increases to twice its original value. O The magnitude of the tension increases to four times its original value. O The magnitude of the tension reduces to one-fourth of its original value. O The magnitude of the tension is unchanged. O The magnitude of the tension reduces to half of its original value.

A ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed. The length of the string is 1.25 m. The mass of the ball is 2.10 kg. The maximum tension the string can withstand is 61.0 N. What is the max speed of the ball without breaking the string when the ball is at the top of the circle (point a)?

Rising fast ball. A batter in a baseball game will sometimes describe a pitch as being a rising ball, termed a hop. Although technically possible, such upward motion would require a large backspin on the ball so that an aerodynamic force would lift the ball. More likely, a rising ball is an illusion stemming from the batter's misjudgment of the ball's initial speed. The distance between the pitching rubber and home plate is 60.5 ft. If a ball is thrown horizontally with no spin, how far does it drop during its flight if the initial speed vo is (a) 36 m/s (slow, about 80 mi/h) and (b) 43 m/s (fast, about 95 mi/h)? (c) What is the difference in the two displacements? (d) If the batter anticipates the slow ball, will the swing be below the ball or above it? (a) Number i (b) Number (c) Number (d) MO Units Units Units

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A car (m = 1069 kg) is moving at 16 m/s when it encounters a circular dip in the road of radius 97 m. Assuming the car maintains constant speed the entire time, what would be the magnitude of the force of gravity at the bottom of the dip? b.What is the magnitude of the car's acceleration at the bottom of the dip? c.What is the magnitude of the Normal Force on the car at the bottom of the dip?

A 450.0 kg roller coaster is traveling in a circle with radius 15.0m. Its speed at point A is 28.0m/s and its speed at point B is 14.0 m/s. At point A the cart is already moving with circular motion. a) Draw free bodydiagramsfor the cartatpointsAand B(two separate free body diagrams). b) Calculate the acceleration of the cartat pointsAandB(magnitude and direction). c) Calculate the magnitude of the normal force exerted by the trackson the cartat point A. d) Calculate the magnitude of the normal force exerted by the tracks on the cart at point B.

A 2.0kg ball swings in a vertical circle on the end of an 80cm long string. The tension in the string is 20N when its angle from the highest point on the circle, 0, is 30deg. a) What is the ball's speed when 0-30deg? b) What are the magnitude and direction of the ball's acceleration when 0=30deg?