An astronaut with a mass of 180.0 kg is outside a space capsule when the tether line breaks. He is initially moving 0.1 m/s away from the capsule. The astronaut has a 4 kg wrench available to throw. If he throws the wrench away from the capsule at 12 m/s, what speed will the astronaut have on the way back? Show your work. (a) 0.33 m/s (b) 0.13 m/s (c) 0.17 m/s (d) 0.27 m/s

A car goes around a curve on a road that is banked at an angleof 33.5°. Even though the road is slick, the car will stay on theroad without any friction between its tires and the road whenits speed is 22.7 m/s. What is the radius of the curve? Show your work and explain.

Two smooth disks A and B, having identical mass, collide with the velocities shown. If the coefficient of restitution for the disks is e = 0.75, (a) calculate the magnitude and direction of final velocity of each disk just after collision. (b) also calculate the amount of loss of system kinetic energy. Note. Solve the problem step by step, and clearly show your work. 30 = 10 ms g-6 m/s

please show all your work

Suppose a tennis player serves by hitting the ball horizontally. The initial height of the ball is 2.5m and the net is 15.0m away. It must land within 7.0m of the net on the other side to be “good". a) What velocity is needed to clear the net? Show your work.b) If the ball just barely clears the net, is the ball “good” on the other side? Show yourwork.

Please explain and show work for the following question with equations used. Thank you!!

This question is a short free-response question. Show your work for each part of the question. A person pushes a large block on a horizontal ice surface in a straight line to the right with constant speed, as shown above. The mass of the block is 10kg and frictional forces between the block and the ice are negligible. However, the block has a wide cross-sectional area such that air resistance acting on the block cannot be neglected. The opposite is true for the person: air resistance on the person is negligible, but the person’s shoes do not slip on the ice. The table shows the force exerted by the person on the block for several values of constant speed. (a) A student claims that the data show that the magnitude of the force of air resistance is proportional to the speed of the object, within experimental uncertainty. Use physics principles to explain whether the claim is correct.  (b) As the person pushes the block, the person moves with the same constant speed as the block. Consider…