A frustrated farmer is trying to move a large rock from his land. The stone has a mass of 9.00×102 kg. By using a piece of board as a lever and a fulcrum the farmer will have a better chance of moving the rock. The farmer places the fulcrum 0.266 m from the rock so that the edge of the board is located directly under the center of the weight of the rock. The farmer can exert a maximum force of 632.0 N. Calculate the minimum total length of board needed to move the stone?

A system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with μk=μk= 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration.

The figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude     kNdirection     ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.(  î +  ĵ)…

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Shown in the figure below is a system of two blocks. One of these blocks is resting on a surface tilted left and the other one is on a surface tilted right. The strings and the pulley have no mass. There is no friction anywhere in the problem. T=? 0₁ . m₁ no friction The characteristics of the system are given here: • m₁ = 4.09 kg • m₂ = 5.29 kg 0₁ 16.6 02 = 63.0 Answer all the following: What is the normal force, N₁, on mass m₁? What is the normal force, N₂, on mass m₂? What is the acceleration, a of the system? What is the tension, T? N m₂ 02 N N N m/s² 48 Acti Go to

There is a mortar that is firing on soldiers who are approaching up the hill towards the mortar. The mortar is angled at an angle of theta = 66.0 degrees and is fired with a initial velocity of 153ft/s. How far down the hill does the shell strick if the hill subtends an angle phi = 35.0 from the horizontal? Ignore air friction. How long will the mortar shell remain in the air? How fast will the shell be traveling when it hits the ground?

A tightrope walker is walking between two buildings holding a pole with length ?=15.5 m, and mass ??=19.5 kg. The daredevil grips the pole with each hand a distance ?=0.575 m from the center of the pole. A bird of mass ??=525 g lands on the very end of the left‑hand side of the pole. Assuming the daredevil applies upward forces with the left and right hands in a direction perpendicular to the pole, what magnitude of force ?left and ?right must the left and right hand exert to counteract the torque of the bird?

Two buckets of nails are arranged in a pulley system as shown in the figure; the pulley itself is both massless and frictionless and the rope may be considered massless. At the instant shown in the figure, the bucket having the most nails is a distance D=3.10 m above the ground, the bucket having the fewest nails is at ground level, and the system has just been released from rest. The bucket having the most nails has a mass of M = 10.0 kg, and the bucket with the fewest nails has a mass of m = 5.00 kg ▼ Part A m M D As the heavier bucket moves downward, from the starting point shown in the figure, all the way to the ground, what will have been the work done on the lighter bucket by non-conservative forces? Use T for the unknown tension in the rope and give your answer symbolically. Give your answer symbolically. Choose from the symbols T. M, m, D, and g, where g is the acceleration due to gravity acting alone. If the answer is zero, just enter 0. Work on m by nonconservative forces =…

A uniform beam of length L = 7.10 m and weight 4.05 × 10² N is carried by two workers, Sam and Joe, as shown in the figure below. Determine the force that each person exerts on the beam. Sam Joe F F Sam II = -1.00 m N N Z Z -2.00 m- L

A 686 N park ranger uses a basket and a rope-pulley system to transport an injured sea turtle up to a plateau, as shown in the figure. The sea turtle and basket together have a mass of 50.0 kg. The ranger holds firmly onto the rope and walks away from the cliff, speeding up at a steady rate of 0.300 m/2 2. He thereby causes the basket (and the turtle) to accelerate straight upwards at the same rate. Assume that the rope has negligible weight and that the pulley is ideal, having no friction in its bearing. Also assume that as the ranger trudges along, his feet do not slip on the ground. +x 26. The tension in the rope is equal to A. 490 N. B. 686 N. C. 475 N. D. 505 N. E. 196 N. 27. The frictional force which the ground exerts on the ranger's feet has a magnitude of C. 526 N. A. 490 N. B. 511 N. D. 196 N. E. 707 N.