A body of the mass m, is lying on a frictionless incline with the angle θ. Another mass m2 is hanging vertically over a massless pulley, connected by a string to the mass m1. What is the tension of the string? Find the acceleration of this system?

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When landing after a spectacular somersault, a 25.0 kg gymnast decelerates by pushing straight down on the mat. Calculate the force (in N) she must exert if her deceleration is 8.00 times the acceleration of gravity. (Enter a number.)  N

A 7 kg mass is placed on a table with Ms= 0.18 and Mk= 0.15. How much mass must be suspended on m in order to start the 5 kg moving? What is the resulting acceleration? This is basically the situation we set up in Lab several times…... a pulley system is placed such that the weight of mass 2 will pull horizontally to the table the 7 kg is placed upon.

A toy train accelerates with a constant acceleration of 1.0 meter per second squared. Thetrain consists of an engine with a mass of 450. grams pulling a box car with a mass of 75.0 grams and a caboose at the end with a mass of 55.0 grams. What force does the engine exert on the box car? What force does the box car exert on the engine? What force does the box car exert on the caboose? What force does the caboose exert on the box car? For the purposes of this question you may ignore the force of friction though of course, the train would have a mighty hard time accelerating without being able to exert a frictional force on the track.

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Assume the three blocks (m1 = 1.0 kg, m2 = 2.0 kg, and m3 = 4.3 kg) portrayed in the figure below move on a frictionless surface and a force F = 41 N acts as shown on the 4.3-kg block. F (a) Determine the acceleration given this system. (b) Determine the tension in the cord connecting the 4.3-kg block and the 1.0-kg blocks. (c) Determine the force exerted by the 1.0-kg block on the 2.0-kg block. Step 1 (a) If we consider the system to consist of all three blocks plus the connecting rope, the total mass of the system is kg. mtotal = m1 + m2 + m3 = The only horizontal external force acting on this system is the applied force directed toward the right, which Is chosen as the positive x-direction. Thus, Newton's second law gives 3(-) 1 kg - m/s? 1 N EFx m/s2. ax mtotal

A car accelerates down a hill (see figure below), going from rest to 22.0 m/s in 8.40 s. A toy inside the car hangs by a string from the car's ceiling. The ball in the figure represents the toy, of mass 0.180 kg. The acceleration is such that the string remains perpendicular to the ceiling. (a) Determine the angle e. (b) Determine the tension in the string.

F m₁ 8 A 5 kg block is on a 39 degree incline for which uk = 0.1. It is acted on by a horizontal force of 24 N, as shown in the above figure. a) What is the acceelreation of the block if it is moving up the incline? (enter a positive value if the acceleration is directed up the incline, enter a negative value if the acceleration is directed down the incline) m/s² b) If its initial speed is 5 m/s up the incline, how far does it travel in 2 s? m