1) Greezy-X has a 150 N bird-feeder in his backyard. It is suspended by two ropes tied to a third as shown in the diagram. Calculate the tension in each of the three ropes.
2) A block of mass 25 kg is being dragged across a frictionless surface by a rope with an unknown tension. See diagram. The block starts from rest and travels 30 m in 6 s. Calculate the tension in the rope.
3) A mass, m1 = 5 kg, resting on a frictionless horizontal table is connected to a cable that passes over a pulley which is then attached to a second hanging mass, m2 = 10 kg. See diagram. Calculate the tension in the cable.
4) Two blocks arc fastened to the ceiling of an elevator. See diagram. Each block has a mass of 10 kg. The elevator accelerates upward at 2 m/s2. Find the tension in each rope.
5) A mass, m1 = 5 kg, resting on a frictionless ramp is connected to a cable that passes over a pulley which is then attached to a second hanging mass, m2 = 10 kg. See diagram. How long will it take the boxes to move 3 m if they are released from rest?
6) Skid has fuzzy dice hanging from the rearview mirror of his Pinto. See diagram. When Skid's car accelerates to the right the string holding up one of the dice makes an angle of 4° with the vertical. Calculate the acceleration of the Pinto.
7) A block is at the base of a S m long ramp of angle 35°. If the block is initially given a velocity of 12 m/s up the ramp, how far from the ramp will the block land?
8) Three planets, Hctim of mass 4.88 x 1024 kg, Yzeerg of mass 3.18 x 1023 kg, and Yrral of mass 5.98 x 1024 kg in the solar system Sraggeb are in harmonic convergence (i.e. they are perfectly aligned). See diagram. At the exact time that they are aligned, calculate the net force acting on planet Yzeerg.
9) Two blocks are in contact on a frictionless surface as shown. Block 1 has a mass of 5 kg and Block 2 has a mass of 2 kg. A force of 14 N is applied to the right on Block 1. (a) Calculate the contact force between two blocks. (b) If the force is applied to the left on Block 2, will the contact force be the same or different. Explain your answer.
10) An object of 4 kg has two forces acting on it: F1 = 3i - 2j + 18k, F2 = 13i - 10j + 10 k. If the object is started from rest and the forces are applied over a period of 3 s, find using complete unit vector notation (a) the acceleration of the object and (b) the velocity of the object at the end of the 3 s interval.