A0.62 kg mass is held against the a compressed spring and released from rest. The linear spring is positioned horizontally across a frictionless surface. It has a spring constant of 609 N/m and is initially compressed by a distance of 0.134 m from its equilibrium position. With what speed does the mass leave the spring?
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- A 5.00-g bullet moving with an initial speed of v = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P8.57. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision. Figure P8.57A 5.00 gram bullet is fired at a velocity of 400 m/s into a 1.00 kg block attached to a spring [k=900 N/m]. The bullet emerges through the block on the other side. If the block moves 5.00 cm to the right before it stops, what is the final velocity of the bullet?A 5.7 Kg mass is attached to a massless spring with spring constant k = 35.9 N/m. The system rests on a frictionless horizontal surface. If the spring is compressed by 9.6 cm, then released, what is the maximum velocity of the mass?
- A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that rests on a frictionless, horizontal surface and is attached to an ideal spring. The impact compresses the spring 15.0 cmcm. Calibration of the spring shows that a force of 0.750 NN is required to compress the spring 0.250 cmcm. (Figure 1) 1) Find the magnitude of the block's velocity just after impact. 2) What was the initial speed of the bullet?A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k =100 N/m . Assuming the surface to be frictionless, e the maximum compression of the spring after the collision m 6 m 5 m NoneA 25 kg mass rests on a spring that has a spring coefficient if 200 N/cm. How muchdoes the spring deflect under action of the mass?
- A toy rocket operates by having a spring-loaded tube which ejects a small model rocket when released. The spring inside has a spring constant k = 625N/m, the rocket has a mass of 0.100 kg, and the maximum compression of the spring is 0.18 m. Consider the system of the rocket, spring, and the earth. Consider the interval of time between t1, when the rocket is released from the point of maximum spring compression, and t2, the moment when the spring is fully released and the rocket leaves the launcher. List below the types of energy that are changing during this interval and whether the changes are positive or negative. Please explain how you know.A .430 kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 20 N/m. The block rests on a frictionles surface. A .500 kg wad of putty is thrown horizontally at the block, hitting it with a speed of 2.30 m/s and sticking. How far does the putty-block system compress the spring?6) A massless spring, with force constant k=191N/m, connects a wall and a block of wood. The system is initially at rest with the spring neither stretched nor compressed. The block has mass M=54.2g and is free to move without friction on a table. A gun is positioned to fire a bullet of mass m=6.86g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d=0.857m. b) What is the speed, in meters per second, of the bullet before it enters the block? c) What is the frequency, in hertz, of the resulting periodic motion of the block/bullet and spring system?
- Just do part (b) 2. A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a)Find the velocity of each cart after the collision. b)The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant.A block of mass ?=3.80 kg slides along a horizontal table with velocity ?0=1.50 m/s. At ?=0, it hits a spring with spring constant ?=41.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.A spring with a spring constant of 335 N/m is initially compressed by a distance of 0.045 m from its equilibrium position. A mass of 0.045 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.