Centripetal acceleration

         

A rock tied to a string is moving at a constant speed of 8.0 m/s 8.0 \text{ m/s} in a circle of radius 7.0 m. 7.0 \text{ m}. Calculate the approximate magnitude of the centripetal acceleration of the rock.

The above picture is a 10001000 kg car passing the top of a hill with radius of curvature 250250 m at a speed of 5050 m/s. Find the magnitude of normal force on the car (in N).

Gravitational acceleration is g=10g= 10 m/s2^{2}.

A puck of mass m=1.80 kg m = 1.80 \text{ kg} slides in a circle of radius r=50.00 cm r = 50.00 \text{ cm} on a frictionless table while attached to a hanging ball of mass M=3.50 kg M = 3.50 \text{ kg} by a cord through a hole in the table, as shown in the figure above. Approximately how fast must the puck move in order to keep the ball at rest?

The gravitational acceleration is g=10 m/s2. g =10 \text{ m/s}^2.

A block is hung by a string from the roof of a van. The van drives along a straight, flat road at a constant speed of 152 m/s, 15 \sqrt{2} \text{ m/s}, and the block hangs vertically down. Then the van goes around an unbanked curve of radius 45.0 m 45.0 \text{ m} while maintaining the same speed, and the string tilts by an angle of θ. \theta . Find the value of θ. \theta.

The gravitational acceleration is g=10 m/s2. g= 10 \text{ m/s}^2.

A rock tied to a string is moving at a constant speed of 1.8 m/s 1.8 \text{ m/s} in a circle. If the rock's acceleration is 3.6 m/s2, 3.6 \text{ m/s}^2, what is the approximate radius of the circle it moves in?

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