# 4. (8 pts) A bullet of mass m, and speed v is fired directly into a...

4. (8 pts) A bullet of mass m, and speed v is fired directly into a wooden block of mass M2 as shown. The bullet imbeds itself into the block, which then compresses against a strong spring. After the collision, the bullet/block combination compressed the spring by a maximum distance x before momentarily coming to rest. Assume that the block is on a frictionless table and initially at rest. Find the spring constant of the spring in terms of mı, M2, VI, and x. • De Pune

##### Add Answer to: 4. (8 pts) A bullet of mass m, and speed v is fired directly into a...
Similar Homework Help Questions
• ### A bullet of mass Mb is fired horizontally with speed Vi at a wooden block of...

A bullet of mass Mb is fired horizontally with speed Vi at a wooden block of mass Mw resting on a frictionless table. The bullet hits the block and becomes completely embedded within it. After the bullet has come to rest within the block, the block, with the bullet in it, is traveling at speed Vf . 1)Which of the following best describes this collision? a)perfectly elastic b)partially inelastic c)perfectly inelastic 2) Which of the following quantities, if any, are...

• ### What is the spring constant? A 0.01 kg bullet is fired at 300 m/s at a...

What is the spring constant? A 0.01 kg bullet is fired at 300 m/s at a 4 kg block that is sitting at rest on a level frictionless surface. The bullet becomes completely embedded in the block. This combination then slides along the surface for 10 cm until it hits a massless spring. When the spring is compressed by 8 cm, the block/bullet combination is at rest. Find the spring constant of the spring.

• ### k WW A bullet with a mass mu = 11.9 g is fired into a block...

k WW A bullet with a mass mu = 11.9 g is fired into a block of wood at velocity up = 253 m/s. The block is attached to a spring that has a spring constant k 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 mw of the...

• ### A 10.4-g bullet is fired into a stationary block of wood having mass m = 4.99...

A 10.4-g bullet is fired into a stationary block of wood having mass m = 4.99 kg. The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.592 m/s. What was the original speed of the bullet? (Express your answer with four significant figures.)

• ### A 9.9-3 bullet is fired into a stationary block of wood having mass m = 5.02...

A 9.9-3 bullet is fired into a stationary block of wood having mass m = 5.02 kg. The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.606 m/s. What was the original speed of the bullet? (Express your answer with four significant figures.) 4.0

• ### A 12.0-q bullet is fired horizontally into a 103-q wooden block that is initially at rest...

A 12.0-q bullet is fired horizontally into a 103-q wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 158 N/m. The bullet becomes the bullet-block system compresses the spring by a maximum of 81.5 cm, what was the speed of the bullet at impact with the block? embedded in the block. m/s

• ### A bullet with some mass, m, and initial speed, vi, collides with a wooden block of...

A bullet with some mass, m, and initial speed, vi, collides with a wooden block of mass M that is hanging at the end of a light rope. The bullet imbeds itself in the block and the block and bullet swings upwards reaching a maximum height of h above the initial point of the collision. a. A scientist can measure the masses and the height, show that the initial speed can then be calculated from the following equation: vi= (m+M)/m×root...

• ### A 9.5-g bullet is fired into a stationary block of wood having mass m = 5.04...

A 9.5-g bullet is fired into a stationary block of wood having mass m = 5.04 kg. The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.593 m/s. What was the original speed of the bullet? (Express your answer with four significant figures.) m/s

• ### Resources Hint Check Answer Question 5 of 11 > A bullet with a mass m. =...

Resources Hint Check Answer Question 5 of 11 > A bullet with a mass m. = 11.5 g is fired into a block of wood at velocity u) = 253 m/s. The block is attached to a spring that has a spring constant k 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...

• ### A 10.0-g bullet is fired into, and embeds itself in, a 1.80-kg block attached to a...

A 10.0-g bullet is fired into, and embeds itself in, a 1.80-kg block attached to a spring with a force constant of 22.3 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block and the block slides on a frictionless surface? Note: You must use conservation of momentum in this problem because of the inelastic collision between the bullet and block.

Free Homework App