A horizontal spring attached to a wall has a force constant of $k=850 \mathrm{~N} / \mathrm{m}$. A block of mass $m=1.00 \mathrm{~kg}$ is attached to the spring and rests on a frictionless, horizontal surface as.
(b) Find the speed of the block as it passes through the equilibrium point.

A $2.00$-$\mathrm{kg}$ frictionless block is attached to an ideal spring with force constant $315 \mathrm{~N} / \mathrm{m}$. Initially the spring is neither stretched nor compressed, but the block is moving in the negative direction at $12.0$ m$/$s. Find
($c$) the maximum force the spring exerts on the block.

A horizontal spring attached to a wall has a force constant of $k=850 \mathrm{~N} / \mathrm{m}$. A block of mass $m=1.00 \mathrm{~kg}$ is attached to the spring and rests on a frictionless, horizontal surface.
(a) The block is pulled to a position $x_i=6.00 \mathrm{~cm}$ from equilibrium and released. Find the elastic potential energy stored in the spring when the block is $6.00 \mathrm{~cm}$ from equilibrium and when the block passes through equilibrium.

A horizontal spring system consists of a block of mass 4.00 kg on a frictionless surface attached to a horizontal spring with constant 624 N/m. If the block is released, what is the magnitude of its initial acceleration?

A 2.00-kg frictionless block is attached to an ideal spring with force constant 315 N/m. Initially the spring is neither stretched nor compressed, but the block is moving in the negative direction at 12.0 m/s. Find (a) the amplitude of the motion, (b) the block’s maximum acceleration, and (c) the maximum force the spring exerts on the block.

A 1.00 kg block is attached to a horizontal spring with spring constant 2500 N/m. The block is at rest on a frictionless surface. A 10 g bullet is fired into the block, in the face opposite the spring, and sticks. What was the bullet’s speed if the subsequent oscillations have an amplitude of 10.0 cm?

A child on a sled (total mass m) starts from rest at the top of a hill of height h and slides down. Does the velocity at the bottom depend on the angle of the hill if it is icy and there is no friction.

A block with mass 0.400 kg is on a horizontal frictionless surface and is attached to a horizontal compressed spring that has force constant k=200 N/m. The other end of the spring is attached to a wall. The block is released, and it moves back and forth on the end of the spring. During this motion the block has speed 3.00 m/s when the spring is stretched 0.160 m. During the motion of the block, what is its maximum speed?

A box of mass $m$ on the floor is connected to a horizontal spring of force constant $k$ (Figure 7-52). The coefficient of kinetic friction between the box and the floor is $\mu_{\mathrm{k}}$. The other end of the spring is connected to a wall. The spring is initially unstressed. If the box is pulled away from the wall a distance $d_0$ and released, the box slides toward the wall. Assume the box does not slide so far that the coils of the spring touch.

$(a)$ Obtain an expression for the distance $d_1$ the box slides before it first comes to a stop.

A 0.430-kg block is attached to a horizontal spring that is at its equilibrium length and has a spring constant of 20.0 N/m. The block rests on a frictionless surface. A 0.0500-kg wad of putty is thrown horizontally at the block with a speed of 2.30 m/s. The putty sticks to the block. How far does the putty -block system compress the spring?

A $2.0 \mathrm{~kg}$ block executes SHM while attached to a horizontal spring of spring constant $200 \mathrm{~N} / \mathrm{m}$. The maximum speed of the block as it slides on a horizontal frictionless surface is $3.0 \mathrm{~m} / \mathrm{s}$. What is the magnitude of its minimum acceleration?

A spring (spring 1) with a spring constant of 500 N/m is attached to a wall and connected to another weaker spring (spring 2) with a spring constant of 250 N/m on a horizontal surface. Then an external force of 100 N is applied to the end of the weaker spring (#2). How much potential energy is stored in each spring?

A 2.0 kg block executes SHM while attached to a horizontal spring of spring constant 200 N/m. The maximum speed of the block as it slides on a horizontal frictionless surface is 3.0 m/s. The magnitude of its minimum acceleration?

A

$$1.00 \times 10 ^ { - 2 } k g$$

block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 124 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 8.00 m/s, while the spring is initially unstrained. What is the amplitude of the resulting simple harmonic motion?