A arrow of mass 0.01 kg moving horizontal suddenly strikes a block of wood of mass 8.6 kg that is suspended by a light string, like a pendulum. The arrow passes through the wood, then the wood swings upward and momentarily stops when the string is horizontal. The length of the string is 2.0 cm. How long did it take the arrow to go through the wood if the friction force between the bullies and the wood is 100 N?

A cart of mass m, = 6.7 kg is on an inclined ramp (ø = 34.1 degrees). It is attached to a string of negligible mass that goes over an ideal pulley. The other end of the string is attached to another block of mass m, = 11.9 kg, as shown below. The wheels on the cart are good enough that friction between the cart and the ramp is negligible. If the blocks are given an initial speed of v, = 9.1 m/s (with m, moving down the plane), what is the common magnitude of the acceleration of the blocks? (in m/s^2)

A child who weighs 300 N is swinging on a rope. At the highest point in the swing, the rope makes a 30 degree angle to the vertical. What is the force of tension in the rope?

A heavy ball with a weight of 150 N (m = 15.3 kg) is hung from the ceiling of a lecture hall on a 4.6-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed of 5.6 m/s as it passes through the lowest point. What is the tension in the rope at that point?

An adventurous archeologist (m = 85.0 kg) tries to cross a river by swinging from a vine. The vine is10.0 m long and his speed at the bottom of the swing is 8.00 m/s. The archeologist does not know that the vine has a breaking strength of 1,000 N. Does he make it across the river without falling in?

An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma = 113 kg and the bag of tools has a mass of m the space station at v¡ = 1.80 m/s. = 10.0 kg. The astronaut is moving away from What is the minimum final speed Ubf of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? Ub,f = m/s

A man is attempting to lift a crate with a double-pulley system, as shown. A single rope is routed from the ceiling, through the two pulleys, and to where the man pulls on it. The crate has mass m2 = 68 kg, and the man has m1 = 75 kg. He pulls downward on the rope with a force of magnitude F = 599 N. The pulleys are both massless and frictionless, and the rope is ideal. What is the magnitude, in newtons, of the tension force, T?What is the acceleration, in meters per squared second, of the crate?

A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?

Marisa pushes a 1.635 kg book across a table, accelerating it at a rate of 2.099 m/s^2 over a time period of 1.891 s. If 2.760 watts of power were used to move the book, what distance does the book travel across the table?

Match the graph shown below with the correct set of m, b and r. 2.5 2 2 1.5 0.5 0.05 0.1 0.15 0.2 mass (kg) m 0.80 s/kg b = 1.2 s r= 0.852 m = 8.0 s/kg b 1.2 s r= 0.995 3. 1.