A 2.00Kg puck on a frictionless horizontal surface on the Earth is constrained to a circular orbit by a 4.00 meter long string attached to a vertical rod. Assume the string is attached to the rod by a ring that lets it revolve around the rod without friction. The string can withstand up to a 50.0N tension without breaking. Once the puck is released, it slides on a horizontal dirt surface with a coefficient of kinetic friction of 0.15. How far will it go to where it stops and how much time does it take to stop?

A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.4 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 135 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.

Suppose a toy car experiences two horizontal forces: A time-dependent force from its motor of F = 2.0e-0.5tN, and kinetic friction with a coefficient of u = 0.1 from its wheels and bearings. What will its maximum speed be on level ground if it starts from rest? %3D %3D

Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 208 m in 3.0 s. The mass of the swallow was estimated to be 0.018 kg, and its cross-section area as 5.6 x 10-4 m2. What was the drag coefficient for this swallow as it dove?

A small object of mass 0.500 kg is attached by a 0.840 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 8.80 m/s. What is the tension in the cord?

A 19.0 kg box is placed at the top of an inclined plane and released to either move freely or sit at rest. The plane is at an angle of 30° above the ground and has a total length of d = 2.80 m along the incline. The coefficient of static friction between the box and the plane is us = 0.40 and the coefficient of kinetic friction is pk = 0.30. What kind of friction does the box experience once it is released, and what is its magnitude? m d Kinetic, Fkf - 55.9 N Static, Fsf = 74.5 N Static, Fsf = 64.5 N Kinetic, Fkf = 48.4 N

In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 8 = 22.8°. The slab has length L = 48.9 m, thickness T = 6.61 m, and width W = 12.7 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.312. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.47 cm² and will snap under a shearing stress of 3.59 x 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.

The accompanying figure shows a frictionless channel in the shape of a segment of a circle with center at "O". The channel has been anchored to a frictionless horizontal tabletop. You are looking down at the table. Forces exerted by the air are negligible. A ball is shot at high speed into the channel at "p" and exits at "r." Consider the following distinct forces: A downward force of gravity. A force exerted by the channel pointing from q to O. A force in the direction of motion. A force pointing from O to q.     Which of the above forces is (are) acting on the ball when it is within the frictionless channel at position "q"?

In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 28.4°. The slab has length L = 32.4 m, thickness T = 5.92 m, and width W = 14.3 m, and 1.0 cm3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.385. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.05 cm2 and will snap under a shearing stress of 3.34 × 108 N/m2, what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.

A 756 N person travels in his vehicle through a deep circular-shaped dip in the road. When the vehicle passes through the lowest point of the 50.0 m dip, the seat exerts an 1110 N force on the person. Determine the speed of the vehicle at this point.