A 2155 kg ball swings at the end of a 17.5 m cable on the arc of a vertical circle. At the lowest point of the swing, the ball is moving at 8.6 m/s.
a. Draw the free body diagram for the ball at the lowest point.
b. Determine the tension in the cable at the lowest point.
A ball has a mass of 12 kg. It is attached to a string 1.2 m in length. The maximum tension in the string is 230N. If the ball is swinging in a horizontal circle, calculate
a. the speed of the ball.
b. the angle of the string relative to the horizontal just before the string breaks.
A car is making a circular turn of radius 50m on a flat road. The coefficient of friction between the tires and the road is 0.65. Calculate the maximum speed of the car.
A highway curve with radius 250m is to be banked so that a car traveling 25m/s will not skid sideways even in the absence of friction.
a) Draw a free body diagram for the car
b) At what angle should the curve be banked?
A 4.0 kg mass is attached to one end of a rope 2 m long. If the mass is swung in a vertical circle from the free end of the rope, what is the tension in the rope when the mass is at its highest point if it is moving with a speed of 5 m/s
The mass of the Earth is 5.97 x 10^24 kg and the mass of the moon is 10^22kg. the mean distance between the Earth and the moon is 3.8 x 10^8m. Calculate the force of gravitational attraction between the Earth and the Moon?