A ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward on horizontal tracks. An observer inside the train car sees the ball hang motionless. Part A Draw a clearly labeled free-body diagram for the ball if the train has a uniform velocity. Draw the force vectors with their tails at the dot. (Black vector is the sum of the vectors in my diagram.) Part B Draw a clearly labeled free-body diagram for the ball if the train is speeding up uniformly. Draw the force vectors with their tails at the dot. (Black vector is the sum of the vectors in my diagram.)

SITUATION. Each of the two elastic rubber bands of the slingshot has an unstretched length of 200 mm. Neglect the mass of the rubber band and the change in elevation of the pellet while it is constrained by the rubber bands. Each rubber band has a stiffness of k = 50 N/m. If they are pulled back to the position shown and released from rest, 50 mm 50 mm 240 mm O Zoom image Determine also the velocity right after releasing the pellet. O 1.42 m/s O 3.58 m/s O 2.86 m/s 5.88 m/s

b. A block of mass m is placed at rest on an inclined plane as shown below. The plane is frictionless and makes the angle with the horizontal as shown. If another force of magnitude P is applied to the block at the known angle as shown, draw the free body diagram for the block and determine what the value of P must be if the block is to remain at rest. P

A rocket takes off from Earth's surface, accelerating straight up at 75.2 m/s. Calculate the normal force (in N) acting on an astronaut of mass 85.4 kg, including her space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.) HINT N

Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. a.)  Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m1 experiences in the x-direction. Your answer should involve the tension, T. b.)  Under the same assumptions, write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2. c.) Carefully consider how the accelerations a1 and a2 are related. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. d.)Find the magnitude of the tension in the rope, T, in newtons.

Tommy is working on a physics problem and asks his friend Sarah to check his work. He is to draw a free body diagram for a man walking to the left and comes up with the following: He reasons, “The man is walking to the left, so the force of friction is acting in the opposite direction. The normal force should be opposite and equal to that of the gravitational force.” Is Tommy correct with his diagram and reasoning? If so, explain. If not, what mistake did he make? Communication throughout the test will also be evaluated on 1) rounding using significant digits, 2) proper use of units, 3) organization and neatness, and 4) showing all work

Two blocks with masses mд and m³ are connected by a massless string over a massless, frictionless pulley. Block B, which is more massive than block A, is released from height h and falls. Part A Write an expression for the speed of the blocks just as block B reaches the ground. Express your answer in terms of some, all, or none of the variables mÃ, m³, h, and the free-fall acceleration g. V = Submit Part B xa h = Submit Π ΑΣΦ 0 Xb 016 μᾶ a Request Answer Value √x vx x 18 A 1.0 kg block and a 2.0 kg block are connected by a massless string over a massless, frictionless pulley. The impact speed of the heavier block, after falling, is 1.4 m/s. From how high did it fall? Express your answer with the appropriate units. Request Answer Units <४ = |X| www ? X.10n

Two blocks, A and B, are connected by a rope. A second rope is connected to block B and a steady, horizontal tension force of T=50 Newtons is applied. The system moves at a constant speed across the ground. Block B experiences a friction force of 10 Newtons. A.Draw and label an appropriate force vector diagram for block B.  B.What is the friction force acting on block A?

A snake of length L and linear mass density p rises from the table. It's head is moving straight up with the constant velocity v. 1. What is the normal force that the snake exert on the table? 2. What is the tangential (parallel to the surface of the table) force that the snake exert on the table? 3. What is the minimal coefficient of friction between the snake and the table which would allow the snake to raise like that? 4. What is the total mechanical work which the snake will have done when it rises full length?

Draw free-body diagrams for these situations. Be sure to draw your coordinate axes and draw separate FBDs for everything in the system and to write out the ? F = m a equations in all relevant dimensions. The Moon orbits around the Earth.