A wooden block of mass M, attached to a massless spring with spring constant k, rests on its equilibrium position on a frictionless floor. A silver dart with mass m and velocity v is shot into the block and sticks to it. What is the maximum compression of the spring? mv √(m + M)k O m+M k ○ (m + M)v √mk m k U√

A wooden block of mass M, attached to a massless spring with spring constant k, rests on its equilibrium position on a frictionless floor. A silver dart with mass m and velocity v is shot into the block and sticks to it. What is the maximum compression of the spring? mv √(m + M)k O m+M k ○ (m + M)v √mk m k U√

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A small ball of mass mb = 0.050 kg is projected into a pendulum of mass Mp = 0.200 kg in a ballistic pendulum experiment. How fast does the ball need to go in order to get the pendulum to swing up to a height of h = 0.25 m above its original position? 2.21 m/s 0.111 m/s 11.1 m/s 0.553 m/s
Two train cars are heading directly at one another on the same track. The first train of mass m1 has initial velocity v1,i and the second train car of mass m2 has initial velocity v2,i. The second train car has a protective bumper mounted on a spring of force constant k to absorb and dissipate impact forces. When the first train car hits the second, the spring bumper is compressed to a maximum compression xmax. At this point in time, the train cars are moving with the same velocity v. In terms of v1,i, v2,i, m1, m2, k, find expressions for: (a) The velocity v at maximum compression; (b) The maximum compression xmax; and (c) The velocity of each train car after they’ve separated.
A block of mass M = 5.10 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6040 N/m. A bullet of mass m = 9.30 g and velocity v of magnitude 690 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. %3D M m (a) Number i Units (b) Number Units
A block A, of mass m = 10 Kg, compresses a spring of constant K = 1000 N / m in a length x = 3 cm. Starting from rest, the block is released, which moves from that moment on a horizontal surface without friction until it collides with another block B of mass m = 40 Kg, which was at rest. (Perfectly inelastic shock) and together they go up the channel (inclined surface) without friction, to later continue along a second horizontal plane without friction, at a height h with respect to the first (see Figure). Determine the energy variation that occurs in the collision .
Boink! A pendulum of mass M₁ = 3.50 [kg] is released from rest at a height of 0.500 [m] from the ground. It then hits an object of mass M₂ = 2.00 [kg]. If the two objects stick together, what is the speed of the system right after collision?? M₁ 0 0.5 m O 3.57 [m/s] O 1.99 [m/s] 1.14 [m/s] O 6.24 [m/s] M.
A bullet, with mass 0.008 kg is fired into a block of wood with mass 1.96 kg suspended like a pendulum. The bullet makes a completely inelastic collision with the block, becoming embedded in it. After the impact of the bullet, the block swings up to a maximum height 0.079 m. Find the initial speed of the bullet? a) DVB V₂ Δε C M ب 6) /// hJ دو ► M+m
B1
A rocket motor is undergoing a "bench test." It is attached to a fixed support by four large springs of constant 10^6 N/m. The motor burns fuel at a rate of 50 kg/s. When the motor is running the springs are observed to stretch 1.5 cm. Determine the exhaust speed of the burned fuel.
In the frictionless horizontal plane, the first blocks with masses of m, 2m and 3m, respectively, have a velocity v and the other blocks connected to the spring are in rest. Spring force is not impulsive. Since the spring coefficient is k and the collision coefficient is e, a) How long will the spring be (or shorten)? b) What is the smallest value of the kinetic energy of the system? Hint: The equations can be set up with respect to the moving axis whose origin is at the center of mass of the blocks connected to the spring. m v 2m k 3m
7
Two blocks of masses m1 = 1.60 kg and m2 = 2.10 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 285 N/m is placed between them. Neglect the mass of the spring. The spring is not attached to either block and is compressed a distance of 9.50 cm. If the blocks are released from rest, find the final velocity of each block.
1