17. A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on a smooth surface frictionless surface. The block slides toward a horizontal spring, (k= 99.0 N/m). A maximum compression of 1.50 cm is observed. What is the mass of the block of wood? Draw a small diagram of the situation.
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- A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on asmooth surface frictionless surface. The block slides toward a horizontal spring,( k= 99.0 N/m). A maximum compression of 1.50 cm is observed. What is the mass ofthe block of wood? Draw a small diagram of the situation.You have been asked to design a "ballistic spring system" to measure the speed of bullets. A bullet of mass m is fired into a block of mass M. The block, with the embedded bullet, then slides across a frictionless table and collides with a horizontal spring whose spring constant is k. The opposite end of the spring is anchored to a wall. The spring's maximum compression d is measured.What was the speed of a 2.1 g bullet if the block's mass is 1.5 kg and if the spring, with k = 40 N/m , was compressed by 15 cm ?4. A bullet ( v = 60 m/sec, m = 50 gram) is fired into an ice block (M=3 KG) resting on ice considered frictionless . The bullet is imbedded in ice block and they move together on ice. a. Find the common velocity they move together. b. Find the initial kinetic energy of the system. c. Find the final kinetic energy of the sys tem. d. Find the percent energy loss.
- Problem 5 www.m Test of Strength m₂. A game consists of compressing a spring (constant k) with a block of mass m as far as possible and then releasing. Af- ter releasing, the mass collides elastically with another block of mass 2m which is attached to a string with length R as shown. (a) What speed does the block with mass m2 need immediately after the collision so that it completes a full cir- cle? (b) What minimum force do you need to compress the spring with, such that the second block makes it around the circle?Physics Problem: A 5.00-g bullet is shot at a 1.00 kg wood block. The block is suspended on a string. The bullet passes through the block and the block rises a distance of 0.45 m. The bullet emerges from the block at a speed of 125 m/s.(a) Find the initial speed of the bullet.(b) Is mechanical energy conserved in the collision of the bullet with the block? Explain.(minimum one sentence.)(c) Is linear momentum conserved in the collision of the bullet with the block? Explain.(minimum one sentence.)A 12.0-g bullet is fired horizontally into a 100-g woodenblock that is initially at rest on a frictionless horizontal surfaceand connected to a spring having spring constant 150 N/m.The bullet becomes embedded in the block. If the bullet–block system compresses the spring by a maximum of 80.0 cm,what was the speed of the bullet at impact with the block?
- A 400 kg trailer with a spring attached to it is travelling at a speed of 20 m/s. The trailer collides with a 200 kg cart going 40 m/s in a head-on collision. If the spring constant is 850 N/m, calculate the maximum compression of the spring.A spring gun (k = 28.0 N/m) is used to shoot a 41.3-g ball horizontally. Initially the spring is compressed by 18.0 cm. The ball loses contact with the spring and leaves the gun when the spring is still compressed by 12.0 cm. What is the speed of the ball when it hits the ground, 2.66 m below the spring gun? m/sThe massless spring of a spring gun has a force constant k=12N/cm.k=12N/cm.When the gun is aimed vertically, a 15-g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) How much was the spring compressed initially?
- 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:Help PlZZ The Dread Pirate Roberts is trying to fire a 12 kg cannon ball from a 250 kg cannon. In order to prevent the cannon from recoiling across the deck of the ship, he attaches a large spring behind the cannon, with the spring’s other end braced firmly against the ship’s frame. When the cannon is fired, the ball is launched forward at 90 kilometers per hour. Subsequently, the cannon pushes backwards and compresses the spring by 60 cm. What is the spring constant k of the spring?5. Two blocks of masses mand 3m QIC are placed on a frictionless, hor- V izontal surface. A light spring is attached to the more mas- sive block, and the blocks are Зт Before a pushed together with the spring between them (Fig. P9.5). A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the system's original elastic potential energy, taking 2.00 m/s Зт After Figure P9.5 m = 0.350 kg. (c) Is the original energy in the spring or in the cord? (d) Explain your answer to part (c). (e) Is the momentum of the system conserved in the bursting-apart process? Explain how that is possible considering (f) there are large forces acting and (g) there is no motion before- hand and plenty of motion afterward?