A mass m=4.5kg is connected to a spring. The force constant of the spring is k = 2.1N m. Another block with the same mass comes from left and hits the first. The collision is elastic, the surface is smooth and the initial velocity of the second block is v = 2.5m · s 1. What is the largest length can the spring be compressed after the collision?( Round to the nearest hundredth.) E
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![A mass m=4.5kg is connected to a spring. The force constant of the spring is k = 2.1N m.
Another block with the same mass comes from left and hits the first. The collision is elastic, the
surface is smooth and the initial velocity of the second block is v = 2.5m · s 1. What is the largest
length can the spring be compressed after the collision?( Round to the nearest hundredth.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1fe3322-d77a-4aa1-9801-8c51a42e5b4e%2F3fb616f5-b162-455b-948c-2e30a40826d7%2Fd84onfq_processed.jpeg&w=3840&q=75)
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- A 5.00-g bullet moving with an initial speed of v₁ = 390 m/s is fired into and passes through a 1.00-kg block as shown in the figure below. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 860 N/m. The block moves d = 5.40 cm to the right after impact before being brought to rest by the spring. (a) Find the speed at which the bullet emerges from the block. m/s (b) Find the amount of initial kinetic energy of the bullet that is converted into internal energy in bullet-block system during the collision.A bullet with a mass mb=11.9g is fired into a block of wood at velocity vb=257 m/s The block is attached to a spring that has a spring constant kk of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mwmw of the wooden block.Solve the following: You have been asked to design a "ballistic spring system" to measure the speed of bullets. A spring whose spring constant is kk is suspended from the ceiling. A block of mass MM hangs from the spring. A bullet of mass mm is fired vertically upward into the bottom of the block. The spring's maximum compression dd is measured from its initial suspended position.
- A 1.6-kg ball is attached to the end of a 0.40-m string to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point of its swing, when it is moving horizontally, the ball collides with a 0.80-kg block initially at rest on a horizontal frictionless surface. The speed of the block just after the collision is 3.0 m/s. What is the speed of the ball just after the collision? a. 1.5 m/s b. 1.3 m's c. 2.1 m/s d. 1.1 m/s e. 1.7 m/sA 12.0-g bullet is fired horizontally into a 114-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 141 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 82.5 cm, what was the speed of the bullet at impact with the block?You have been asked to design an experiment to measure the speed of a fired bullet as part of your new job in the military sector. You decide you will use your knowledge of springs, conservation of momentum and energy to design your experiment. You decide to hang a spring with constant k vertically and attach a block of mass M to the end of the spring. The bullet of mass m is then fired vertically upward into the wooden block where it embeds into the block. You will measure the distance d that the spring is compressed and use this to find the initial speed of the bullet. A. Place the origin of your coordinate system on equilibrium position of the unstretched spring. Draw a before and after diagram of the bullet-spring system. Be sure to label any speeds, changes in length of the spring, and important information about the problem. Label the unknown bullet's speed VB. Label the unknown speed of the bullet + block system after the bullet embeds vo. B. Determine the symbolic energy…
- 3B. A 0.300 kg mass is initially held at rest against a compressed spring with a spring constant of 500 N/m. The system is situated such that the mass is on a frictionless, horizontal surface and the spring acts parallel to the surface. a) If the mass leaves the spring with a speed of 20.0 m/s, by how much was the spring initially compressed? b) What is the speed of the mass when the spring is halfway back to its equilibrium position?A bullet of mass m=5g moving with an initial speed 400m/s of 400 m/s is fired into and passes through a M=1 kg block, as in Figure. The block, initially at rest on frictionless, horizontal surface is connected to a 5.00cm! spring of force constant k=900 N/m. If the block moves d= 5 cm to the right after impact and the object stops. What is the speed of block at which the bullet emerges from it? 1,5 m/s 200 m/s 2 m/s 100 m/s 150 m/sA ballistic pendulum consists of a 3.5-kg wooden block originally at rest, 0 = 0°. When a 2-g bullet strikes and becomes embedded in it, it is observed that the block swings upward to a maximum angle of 0 = 6°. (Figure 1) Figure 1.25 m 0 1.25 m 1 of 1 Part A Estimate the speed of the bullet. Express your answer to three significant figures and include the appropriate units. UB= Submit Value Provide Feedback Request Answer Units ?
- explanationHi there! I need some help! I am really confused. I do not know how to solve this! A block of mass m = 4.4 kg, moving on frictionless surface with a speed vi = 9.2 m/s, makes a perfectly elastic collision with a block of mass M at rest. After the collision, the 4.4 kg block recoils with a speed of vf = 2.5 m/s. Mass m is closest to: Thank you!A0.1kg bullet is fired horizontally at initial speed 10m/s into a 0.9kg wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring with spring constant 100 N/m. The bullet becomes embedded in the block. Then the bullet-block system compresses the spring. (a) What is the speed of the system including the block and the bullet after they collide? Answer: m/s b) Find the maximum compression? Answer: