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 ?a=102 kg and the bag of tools has a mass of ?b=10.0 kg. If the astronaut is moving away from the space station at ?i=1.50 m/s initially, what is the minimum final speed ?b,f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? ?b,f = ? m/s

Problem 3: A student of mass m = 51 kg runs at a velocity v; = 1.53 m/s before leaping on a skateboard. After leaping on the board the student has a velocity vf = 1.44 m/s. What is the mass of the skateboard, in kilograms? Numeric : Anumeric value is expected and not an expression. Mp =

The force on an object moving through a viscous fluid (like honey) is F = -bv, where v is the speed of the object. What are the SI units of b? O kg/s kg/s² kg/m O kg/m² O kg/m · s O none of these

A 0.55 kg football is thrown with a velocity of 17 m/s to the right. A stationary receiver catches the ball and brings it to rest in 0.021 s. What is the force exerted on the receiver?Answer in units of N.

A frog with some sort of little monster on his back is swimming in a bathtub of split tomato soup. The frog's mass is m1 = 0.0280 kg, and the monster's mass is m2 = 0.0300 kg. The frog propels the monster and himself forward with a constant force of F = 0.440 N and accelerates at a constant rate of a = 2.65 m/s^2.  a) What is the resistive force of the split tomato soup on the frog? b) If the frog starts at rest at one side of the bathtub and swims across its length in t = 1.91 s, how long is the bathtub? c) How much work is done by the split tomato soup on the frog?

Usually, we do not walk or even stand on a lightweight boat or raft because of the danger of falling into the water. If you have ever stepped off a small boat onto a dock, however, you have probably noticed that the boat moves away from the dock as you step toward the dock or out of the boat. A heavy dog running on a long lightweight raft presents a similar situation. At first, the raft and the dog are at rest with respect to the water (see figure A below) so that vi = 0.The dog then runs on top of the raft at vd = vd with respect to the water (see figure B below). The dog has half the mass of the raft. Find an expression for the velocity of the raft after the dog began running. (Use the following as necessary: vd.) vr =?i

A tennis ball is flying east towards the wall with a speed of 40.3 m/s. After bounced against the wall, it's flying west with a speed of 28.2 m/s.  If the mass of the ball is 0.1 kg, and the time of collision with the wall is 0.033 second, what is the magnitude of force on the wall during this process in unit of Newton?

In a fit, a toddler throws straight down his favorite 1.5 kg toy with an initial velocity of 2 m/s. What is the magnitude of the change in velocity of the toy from t = 0.14 seconds to t = 0.31 seconds?

A 80 kg woman on roller skates pushes a 30 kg girl, also on roller skates, with a force of 100 N. The magnitude of the force exerted by the girl on the woman is O 200 N O 100 N O 50 N O 40 N O 38 N zero

In the figure here, block 1 of mass 2.2 kg and block 2 of mass 3.4 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at 0 = 23 °. The coefficient of kinetic friction between block 1 and the horizontal surface is 0.25. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string? Number i Unit