I need help with the following problems, I forget how to do them.

What horizontal force must be applied to a large block of mass M shown in the figure below so that the tan blocks remain stationary relative to M? Assume all surfaces and the pulley are frictionless. Notice that the force exerted by the string accelerates m2. (Use the following as necessary: m1, m2, M, and g.)

The mass of a roller-coaster car, including its passengers, is 486 kg. Its speed at the bottom of the track in the figure below is 21 m/s. The radius of this section of the track is r1 = 24 m. Find the force that a seat in the roller-coaster car exerts on a 48-kg passenger at the lowest point.

A curve in a road forms part of a horizontal circle. As a car goes around it at constant speed 14.0 m/s, the horizontal total force on the driver has magnitude 141 N. What is the total horizontal force on the driver if the speed on the same curve is 21.0 m/s instead?

A coin placed 29.8 cm from the center of a rotating, horizontal turntable slips when its speed is 48.8 cm/s.What is the coefficient of static friction between coin and turntable?

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 21.4 m as in the figure below.If the car travels at 29.5 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?

What horizontal force must be applied to a large block of mass M shown in the figure below so that the tan blocks remain stationary relative to M? Assume all surfaces and the pulley are frictionless. Notice that the force exerted by the string accelerates m2. (Use the following as necessary: m1, m2, M, and g.)

The mass of a roller-coaster car, including its passengers, is 486 kg. Its speed at the bottom of the track in the figure below is 21 m/s. The radius of this section of the track is r1 = 24 m. Find the force that a seat in the roller-coaster car exerts on a 48-kg passenger at the lowest point.

A curve in a road forms part of a horizontal circle. As a car goes around it at constant speed 14.0 m/s, the horizontal total force on the driver has magnitude 141 N. What is the total horizontal force on the driver if the speed on the same curve is 21.0 m/s instead?

A coin placed 29.8 cm from the center of a rotating, horizontal turntable slips when its speed is 48.8 cm/s.What is the coefficient of static friction between coin and turntable?

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 21.4 m as in the figure below.If the car travels at 29.5 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?

Posted: February 2012
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