Given: A 2 kg crate B is released from rest, falls a distance h = 0.5 m, and strikes plate P (3 kg mass). The coefficient of restitution between B B 0.5 m and P is e = 0.6, and the spring stiffness is k = 30 N/m.
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- A person falls on a spring-loaded plank of length L with velocity V. Draw a graph of the velocity acceleration and the force and deformation of the springA mass-spring system is set up so that the mass oscillates in the horizontal. The mass is 0.83_kg, and the spring has constant 44 N/m. The mass is pulled back so that the spring stretches 0.78_m, and then the mass is released. Find the speed of the mass when it is located at 0.39_m. (Assume there is no friction between the mass and the tabletop.) O 4.559_m/s O 4.918_m/s 4.181_m/s O 4.722_m/s 4.026_m/s 4.382_m/sA block of mass M = 8 kg rests on a horizontal frictionless floor, and is connected to a vertical wall by a spring of force constant k = 200 N/m. When the spring is in its equilibrium position (neither stretched nor compressed), the block just touches a second lighter block of mass m = 4 kg at rest on the frictionless floor. The spring with mass M attached is now compressed by 0.1 m and released. The two blocks undergo a completely inelastic collision, i.e., they stick together after collision. Draw a diagram and define all relevant variables. Just before the collision, what is the velocity of mass MT Just after the collision, what is the common velocity of the two blocks? (What is the maximum stretching of the spring after the collision?: How long after the collision do the masses reach their first maximum stretch?
- Consider the following system: A spring has stiffness 598 N/m and is initially uncompressed. It is oriented vertically and placed on hard surface. A mass of size 2.3 kg is released from rest 9 m above the spring. Calculate the speed of the mass at the moment when the spring is compressed 0.5 m. Use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)A car with mass 1530 kg crashes into a wall. The car’s velocity immediately before the collision was 12.6 m/s and the bumper is compressed like a spring with spring constant 1.14 × 107 N/m. What is the maximum deformation of the bumper for this collision?Answer in units of m.Tarzan, mass 71 kg, holds on to a vine of length 10 m. He is initially at rest and the vine is initially horizontal. Tarzan then uses the vine to swing, going in a circular arc. Calculate the tension in the vine, in N, when the vine has become vertical. (Please answer to the fourth decimal place - i.e 14.3225)
- A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?A block with mass 300 g is held at rest against a spring with spring con- stant 200 N/m that has been compressed 3 cm from its equilibrium length. The block is released and allowed to slide on a table, and the coefficient of kinetic friction between the block and the Problem 1 table is 0.3. The block slides a short distance on the table and then comes to rest. Assume the block loses contact with the spring when the spring is at its equilibrium length, and that the friction force only acts after the block has lost contact with the spring. (a) How much work does the spring force do on the block? (b) How much work does the kinetic friction force do on the block? (c) After leaving the spring, what distance does the block slide before coming to rest? (d) What speed did the block have after sliding 5 cm from the point it lost contact with the spring?