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. An apple falls out of a tree

If the string can withdraw a force of tension that is two times that of what exerts on the mass at t = .500 s , at what time will the string break ?  Answer = .716 s

wo blocks are connected by a massless string, as shown in the diagram. The masses of the blocks are m1 = 2.5 kg and m2 = 2.5 kg. Block 1 is on a table, moving in a circular path with a constant radius of 1.5 meters at a constant speed. There is no friction between block 1 and the table. What is the speed of block 1?

Consider the roller coaster ride shown below. Herer1=17.4m and r2=29m. Imagine that the car is traveling traveling with a constant speed of v=8.9 m/s throughout the whole ride. If the mass of a child riding the car is 20.1kg, determine the apparent weight of a child at point B. Express your answer using Sl unit with zero decimal place. Take g=9.80 m/s?. T2

Especially part C

A block accelerates at 4 m/s^2 down a rough ramp, inclined at 38 degrees. What is the coefficient of kinetic friction between the block and ramp? Include a sketch of the system (with a coordinate system) and a free body diagram.

A 450.0 kg roller coaster is traveling in a circle with radius 15.0m. Its speed at point A is 28.0m/s and its speed at point B is 14.0 m/s. At point A the cart is already moving with circular motion. a) Draw free bodydiagramsfor the cartatpointsAand B(two separate free body diagrams). b) Calculate the acceleration of the cartat pointsAandB(magnitude and direction). c) Calculate the magnitude of the normal force exerted by the trackson the cartat point A. d) Calculate the magnitude of the normal force exerted by the tracks on the cart at point B.

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

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.