1) A 70.0-kg astronaut pushes to the left on a spacecraft with a force in "gravity-free" space. The spacecraft has a total mass of 1.0 x 104 kg. During the push, the astronaut accelerates to the right with an acceleration of 0.36 m/s2. Which one of the following statements concerning this situation is true? a. The spacecraft does not move, but the astronaut moves to the right with a constant speed. b. The force exerted on the astronaut is larger than the force exerted on the spacecraft. c. The astronaut stops moving after he stops pushing on the spacecraft. d. The velocity of the astronaut increases while he is pushing on the spacecraft. e. The force exerted on the spacecraft is larger than the force exerted on the astronaut. 1.

Two teams of nine members each engage in tug-of-war. Each of the first team’s members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1365 N horizontally. (a) What is magnitude of the acceleration of the two teams, and which team sins? (b) What is the tension in the section of rope between the teams?

A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800 N on him. The mass of the losing player plus equipment is 90.0 kg, and he is accelerating at 1.20 m/s2 backward. (a) What is the force of friction between the losing player's feet and the grass? (b) What force does the winning player exert on the ground to move forward if his mass plus equipment is 110 kg? (c) Draw a sketch of the situation showing the system of interest used to solve each part. For this situation, draw a free-body diagram and write the net force equation.

(a) What is the strength of the weak nuclear force relative to the strong nuclear force? (b) What is the strength of the weak nuclear force relative to the electromagnetic force? Since the weak nuclear force acts at only very short distances, such as inside nuclei, where the strong and electromagnetic forces also act, it might seem surprising that we have any knowledge of it at all. We have such knowledge because the weak nuclear force is responsible for beta decay, a type of nuclear decay not explained by other forces.

(a) A cat with a mass of 850 kg in moving to the right with a constant speed of 1.44 m/s. What is the total force on the cat ? (b) What is the total force on the cat if it is moving to the left?

An object of mass M is held in place by an applied force F and a pulley system as shown in Figure P4.43. The pulleys are massless and frictionless. (a) Draw diagrams showing the forces on each pulley. Find (b) the tension in each section of rope, T1, T2, T3, T4, and T5 and (c) the magnitude of F. Figure P4.43 44. Any device that allows you to increase the force you exert is a kind of machine. Some machines, such as the prybar or the inclined plane, are very simple. Some machines do not even look like machines. For example, your car is stuck in the mud and you cant pull hard enough to get it out. You do, however, have a long cable that you connect taut between your front bumper and the trunk of a stout tree. You now pull sideways on the cable at its midpoint, exerting a force f. Each half of the cable is displaced through a small angle from the straight line between the ends of the cable. (a) Deduce an expression for the force acting on the car. (b) Evaluate the cable tension for the case where = 7.00 and f = 100 N.

A toy wagon is on a straight, horizontal track and has a fan attached to one end. The wagon is placed at one end of the track and the fan is connected. The wagon, which was at rest, begins to move and in 4.55s it has moved 1.5m. The mass of the car and the fan is 355g and we assume that it is moving with constant acceleration. a). What is the net force exerted on the wagon? b). Weights are added to the wagon until it has a mass of 722g and the experiment is repeated. How long will it take for the wagon to move 1.5 m? Ignore the effects of friction.

A 70.0-kg astronaut named Matt McConoughey pushes to the left on his space capsule with a force F in space. Assume there is no air or gravity around him. The spacecraft has a total mass of 10000 kg. While he is pushing on the capsule, the astronaut accelerates to the right with an acceleration of 0.36 m/s² Which one of the following statements concerning this situation is true? a) The space capsule does not move, but the astronaut moves to the right with a constant speed. b) The astronaut stops moving after he stops pushing on the space capsule. c) The force exerted on the astronaut is larger than the force exerted on the space capsule. d) The velocity of the astronaut increases while he is pushing on the space capsule. e) The force exerted on the space capsule is larger than the force exerted on the astronaut.

Three forces acting on an object are given by  F1 = (−2.2î + 5.50ĵ) N, F2 = (4.85î − 2.1ĵ) N and  F3 = (−47.5î) N. The object experiences an acceleration of magnitude 3.65 m/s2. i. What is the direction of the acceleration? (counterclockwise from the +x-axis) ii. What is the mass of the object? iii. If the object is initially at rest, what is its speed after 20.0 s? iv. What are the velocity components of the object after 20.0 s? (Let the velocity be denoted by v.

At a time when mining asteroids has become feasible, astronauts have connected a line between their 3360-kg space tug and a 5770- kg asteroid. They pull on the asteroid with a force of 380 N. Initially the tug and the asteroid are at rest, 356 m apart. How much time does it take for the ship and the asteroid to meet? Number Units aT ap