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 ?a=113 kg and the bag of tools has a mass of ?b=19.0 kg. If the astronaut is moving away from the space station at ?i=1.80 m/s initially, what is the minimum final speed ?bf, of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever?

Sub-question D only.

It's Friday night and Skyler has been assigned the noble task of baby-sitting Casey, his 2-year old brother. He puts a crash helmet on Casey, places him in a red wagon and takes him on a stroll through the neighborhood. As Skyler starts across the street, he exerts a 65.6 N forward force on the wagon. There is a 21.6 N resistance force and the wagon and Casey have a combined mass of 28.6 kg. Construct a free body diagram depicting the types of forces acting upon the wagon (upload this as part of your work to be graded). Then determine the acceleration (in m/s2) of the wagon.

An NIU student is driving slowly down the street in a car at an acceleration of 8.44 m/s4. The car and student has a combined mass of 1,610 kg. Another student of mass 75 kg decides to hop onto the hood of the car. What is the new acceleration of the car? Ignore friction between the car and the road and ignore air friction.

A block with mass m1 = 7.5 kg rests on the surface of a horizontal table which has a coefficient of static friction of μs = 0.63. This block is connected by a pulley system to another block which hangs vertically. The hanging block has mass m2. a. What is the minimum mass, m2,min, in kilograms, that will cause the system to move?  b. A second block with mass of 10 kg is placed on top of the first block. What is the new hanging mass, m2,min', in kilograms, that will cause the system to move?  c. The table is inclined at an angle, θ, relative to the horizontal in such a way that the pulley is at the highest point and the 10 kg is removed from m1. Write an equation for the magnitude of the normal force, FN, of the block.  d. Write an equation for the tension, T, in terms of mass m1 just before the block begins to slide. Note that the angle θ is not so large that the block would slide down the table under its own weight (i.e. if the tension acting on mass m1 were removed, the block would…

A 64 kg baseball player jumps into the air throws a 151 g baseball directly eastward with a force of 8.4 N. What is the acceleration of the baseball?   56 m/s2 to the west   41 m/s2 to the east   56 m/s2 to the east   41 m/s2 to the west

A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The block travels a distance 0.508 m down the incline in 2.00 s. The 0.200 kg block is replaced by a 0.400 kg block. If the 0.400 kg block is released from rest at the top of the incline, how far down the incline does it travel in 2.00 s?

While standing on a horizontal frictionless surface, two students push against each other. One student has a mass of 55 kg and the other has a mass of 45 kg. If the acceleration of the 55 kg student is 0.85 m/s2 south, what is the acceleration of the 45 kg student?

At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball's acceleration is 810 m/s2 and the vertical or y component of its acceleration is 980 m/s2. The ball's mass is 0.45 kg. What is the magnitude of the net force acting on the soccer ball at this instant?

The figure shows Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0 container 1 has mass 1.6 kg and container 2 has mass 2.9 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.12 kg/s. At what rate is the acceleration magnitude of the containers changing at (a)t = 0 and (b)t = 4 s? (c) When does the acceleration reach its maximum value? (a) Number i 0.547 (b) Number i c) Number I m1 Units Units Units m2 This answer has no units <