A student stretches a spring, attaches a 1.00-kg mass to it, and releases the mass from rest on a frictionless surface. The resulting oscillation has a period of 0.500 s and an amplitude of 25.0 cm. Determine the spring constant.

At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 N/m is set into oscillatory motion with an amplitude of 20.0 cm. It is observed that the maximum speed of the bunch of bananas is 40.0 cm/s. What is the weight of the bananas in newtons?

You push a 2.0 kg block against a horizontal spring, compressing the spring by 15 cm. Then you release the block, and the spring sends it sliding across a tabletop. It stops 75 cm from where you released it. The spring constant is 200 N/m. What is the block – table coefficient of kinetic friction?

A block-spring system consists of a spring with constant k = 425 N/m attached to a 2.00-kg block on a frictionless surface. The block is pulled 8.00 cm from equilibrium and released from rest. For the resulting oscillation, find the velocity.

A biologist hangs a sample of mass 0.725 kg on a pair of identical, vertical springs in parallel and slowly lowers the sample to equilibrium, stretching the springs by 0.200 m. Calculate the value of the spring constant of one of the springs.

A 0.250-kg block attached to a light spring oscillates on a friction less, horizontal table. The oscillation amplitude is A = 0.125 m and the block moves at 3.00 m/s as it passes through equilibrium at x = 0. Calculate the total energy of the block-spring system.

An object is undergoing SHM with period $0.900$ s and amplitude $0.320$ m. At $t=0$ the object is at $x=0.320$ m and is instantaneously at rest. Calculate the time it takes the object to go
(b) from $x=0.160$ m to $x=0$.

When a driver brakes an automobile, the friction between the brake drums and the brake shoes converts the car’s kinetic energy to thermal energy. If a $1 500-\textrm{kg}$ automobile traveling at $30 \textrm{m/s}$ comes to a halt, how much does the temperature rise in each of the four $8.0-\textrm{kg}$ iron brake drums?

(The specific heat of iron is $448 \textrm{ J/kg } \cdot ^ {\circ}\textrm{C}$.)

Given that alight spring with spring constant $k_1$ is hung from an elevated support. From its lower end a second light spring that has spring constant $k_2$ is hung. An object of mass $m$ is hung at rest from the lower end of the second spring. Determine the effective spring constant of the pair of springs as a system. We describe these springs as in series.

The distance between two successive minima of a transverse wave is 2.76 m. Five crests of the wave pass a given point along the direction of travel every 14.0 s. Find the wave speed.

Two pipes of equal length are each open at one end. Each has a fundamental frequency of 480 Hz at 300 K. In one pipe the air temperature is increased to 305 K. If the two pipes are sounded together, what beat frequency results?

Lead pellets, each of mass 1.00 g, are heated to 200$^ { \circ } \mathrm { C }$. How many pellets must be added to 500 g of water that is initially at 20.0$^ { \circ } \mathrm { C }$ to make the equilibrium temperature 25.0$^ { \circ } \mathrm { C }$? Neglect any energy transfer to or from the container.

It is given that two objects with masses of $3.00 \mathrm{~kg}$ and $5.00 \mathrm{~kg}$ are connected by a light string that passes over a light frictionless pulley to form an Atwood machine. Calculate the acceleration of each object.

A 0.40-kg object connected to a light spring with a force constant of 19.6 N/m oscillates on a frictionless horizontal surface. If the spring is compressed 4.0 cm and released from rest, determine the maximum speed of the object