A block of mass M = 5.80 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5260 N/m. A bullet of mass m = 9.80 g and velocity V of magnitude 710 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion. (a) Number i Units (b) Number i Units

A block of mass M = 5.80 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5260 N/m. A bullet of mass m = 9.80 g and velocity V of magnitude 710 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion. (a) Number i Units (b) Number i Units

Name: A block of mass M = 5.80 kg, at rest on a horizontal frictionless tab
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A block of mass M = 5.80 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k= 5260 N/m. A bullet of mass m = 9.80 g and velocity v of magnitude 710 m/s strikes and is embedded in the block (the fi

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 60P: A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected...

See similar textbooks

Similar questions

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 None
A bullet of mass 9 g moving with an initialspeed 300 m/s is fired into and passes througha block of mass 3 kg, as shown in the figure.The block, initially at rest on a frictionless,horizontal surface, is connected to a spring offorce constant 976 N/m. a) If the block moves a distance 3.6 cm to theright after the bullet passed through it, findthe speed v at which the bullet emerges fromthe block.Answer in units of m/s. b) Find the magnitude of the energy lost in thecollision.Answer in units of J. I'm lost on how to answer the a-section of this question and wasn't able to reach the b-section.
A bullet of mass mm = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg which then compresses a spring (k = 130 N/m ) by a distance x = 0.053 m before coming to rest. The coefficient of kinetic friction between the block and table is μ = 0.50. A. What is the initial velocity (assumed horizontal) of the bullet? B. What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) in the collision between the bullet and the block?
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 mass m1 = 10.5 kg, with initial velocity V0 = 12.5 m/s, strikes a mass-spring system m2 = 7.25 kg, initially at rest but able to recoil. Assume the spring is massless and the surface horizontal and frictionless. See the figure below. If the collision is completely elastic, what are the final speeds V1 and V2 of m1 and m2, respectively?
In the figure, block 2 (mass 1.70 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 218 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.70 kg), traveling at speed v1 = 3.40 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed?
A 1.0-kg block (m1) is attached to the end of a 2.5-m string to form a pendulum. This pendulum is released from rest with an angle θ = 60° to the vertical as shown in the figure. At the lowest point in its swing when it is moving horizontally, the block collides elastically with another block of mass m2 = 2.0-kg initially at rest on a horizontal surface which is frictionless except for a length of 1.5 m, where the coefficient of kinetic friction is 0.25 (see the figure below). After the collision the second block move towards the spring of force constant k = 10000 N/m which is fixed at one end of the surface (see the figure below). Answer the following questions. (a) Calculate the velocity of m1 just before the collision. (b) Calculate the velocities of m1 and m2 just after the collision. (c) Calculate the maximum height to which m1 rises after the collision. (d) Calculate the maximum compression, xc, of the spring.
A cannon of mass 5.12 x 10^3 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 81.1-kg shell horizontally with an initial velocity of 549 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon?
A car with mass mc = 1295 kg is traveling west through an intersection at a magnitude of velocity of vc = 9.5 m/s when a truck of mass mt = 1737 kg traveling south at vt = 12.8 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction of μk = 0.5.Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j. How far, in meters, will the vehicles slide after the collision?
A 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 bullet of mass 4 g moving with an initialspeed 300 m/s is fired into and passes througha block of mass 7 kg. The block, initially at rest on a frictionless,horizontal surface, is connected to a spring offorce constant 440 N/m. If the block moves a distance 1.5 cm to theright after the bullet passed through it, findthe speed v at which the bullet emerges fromthe block. Answer in units of m/s. Additionally, find the magnitude of the energy lost in thecollision. Answer in units of J.
A bullet of mass 0.0366kg and an initial speed of 353m/s is fired through a block of material with a thickness of 0.435m. The average force exerted on the bullet as it passes through the block has a magnitude of 1439N. What is the speed of the bullet, in meters per second, after passing through the block? The block is firmly fixed in place, so it does not move from its initial position