An object of mass 2.5 kg sliding on a horizontal frictionless surface with a speed of 4m/s collides with a horizontal relaxed spring as shown in the figure. If the spring is compressed by a distance of 25 cm and the block comes to rest, then the spring constant k is equal to: wwww. m Ok=640N/m Ok=500 N/m Ok=150 N/m k=250N/m Ok=1000N/m

An object of mass 2.5 kg sliding on a horizontal frictionless surface with a speed of 4m/s collides with a horizontal relaxed spring as shown in the figure. If the spring is compressed by a distance of 25 cm and the block comes to rest, then the spring constant k is equal to: wwww. m Ok=640N/m Ok=500 N/m Ok=150 N/m k=250N/m Ok=1000N/m

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 15.1CYU: Check Your Understanding Why would it hurt more if you snapped your hand with a ruler than with a...

See similar textbooks

Similar questions

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 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 cannon is rigidly attached to a carriage, which can movealong horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 2.00 x 104 N/m, as inFigure P6.75. The cannon fires a 2.00 x 102-kg projectile at a velocity of 125 m/s directed 45.0° above the horizontal.(a) If the mass of the cannon and its carriage is 5.00 x 103-kg, find therecoil speed of the cannon. (b) Determine the maximum extensionof the spring. (c) Find the maximum force the spring exertson the carriage. (d) Consider the system consisting of the cannon,the carriage, and the shell. Is the momentum of this systemconserved during the firing? Why or why not?
Use the approximation that vavg = pf/m for each time step.A spring with a relaxed length of 25 cm and a stiffness of 13 N/m stands vertically on a table. A block of mass 79 g is attached to the top of the spring. You pull the block upward, stretching the spring until its length is now 28.4 cm, hold the block at rest for a moment, and then release it. Using a time step of 0.1 s, predict the position and momentum of the block at a time 0.2 s after you release the block. (Assume the +y direction is upward. Express your answers in vector form.) r = m p = kg · m/s
Two steel balls are suspended by vertical strings (not necessarily of the same length), so thatat rest they are just in contact, with their centres at the same height. One is pulled aside in the vertical plane defined by the strings and released when it is at a height H above its original position. Determine the maximum possible height to which the other can rise, and the condition (the mass ratio) for this to happen.
A bullet of mass m and speedv passes completely through a pendulumbob of mass M as shown inFigure P6.64. The bullet emergeswith a speed of v/2. The pendulumbob is suspended by a stiff rod oflength , and negligible mass. Whatis the minimum value of v such thatthe bob will barely swing through acomplete vertical circle?
How much kinetic energy is lost in the inelastic collisions? Where does it go? Is it still in the “closed system” or has it been lost to surroundings?
A block of mass m = 3.5 kg, initially moving at a speed of v_{1} = 12m / s to the right on a horizontal frictionless surface, is acted on by a variable horizontal force F as follows: For the first 10 s, F = 10N to the right; for the next 5 <= F =25* to the left; and for the last 8 <= F = 15N to right. Find the velocity of the block at the end of the 23-s interval.
A spring- masssystem is executingSHM when a 2.0 kgobject is attached toits end. The springconstant is 250.N/m. When theobject is 0.015meter fromequilibrium position, it is moving witha speed of 0.45 m/s.a) Find theamplitude in meterb) Find themaximum velocityof the object in m/s
A 2.0-kg object has a velocity of 4.0i ^ m/s at t = 0. A constant resultant force of (2.0i ^ + 4.0j ^ ) N then acts on the object for 3.0 s. What is the magnitude of the object’s velocity at the end of the 3.0-s interval?
Physics students design an experiment to measure assorted coefficients of friction using a set-up similar to the one shown (not drawn to scale). A small balloon containing sand with a combined mass of 98.2gg is suspended with an ideal string of length 86.6cmcm, forming a simple pendulum. The pendulum is released from an angle of 41.4∘∘ with the vertical, and it collides with a block of mass 333gg located where the pendulum string becomes vertical. Because the balloon weighted with sand is soft and deformable, the collision is totally inelastic. The block slides for a distance of 30.8mmmm before coming to rest. a) Calculate the speed, in meters per second, of the sand-filled balloon at the instant prior to the collision. b) Calculate the speed, in meters per second, of the block at the instant following the collision. c)
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