A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v, = 2.80 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e). a V= 0

A mass of 7 kg hangs from a spring attached to the ceiling. The spring has a spring constant of 500 N/m and it stretches 13.6 cm from its mean position. A student grabs the spring, applies a force and stretches it a further 3.0 cm downwards. The block is released and initially accelerates upward before undergoing simple harmonic motion. Calculate the initial vertical acceleration of the mass. (Units: m/s2 , to 2 sig figs)

A 0.470 kg mass hung from a spring stretches it 0.190 m. How much (in m) does it stretch two such identical springs if they are hung in parallel, as in (a) of the figure above? How much (in m) does it stretch the two springs if they are hung in series, as in (b) of the figure above? Calculate the effective force (in N/m) constant of a single replacement spring in each case. N/m (left hand setup) N/m (right hand setup)

A 2.50-kg mass is attached to a vertical spring with spring constant, k=96.0 N/m and allowed to stretch to its equilibrium position. It is then pulled down an additional 10.0 cm and released. How FAST is it moving when it reaching the 5.00 cm mark (on its way back up)? Give your answer in seconds to 2 decimal places.

Chapter 16: Problem 5: The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness, with a spring constant k, and is suspended off of the ground. a) If the spring stretches x1 = 0.255 m from equilibrium while supporting an 7.6-kg child, what is its spring constant, in newtons per meter?  b) What is the time, in seconds, for one complete bounce of this child about the point x1?  c) What is the child’s maximum velocity, in meters per second, if the amplitude of her bounce, relative to x1, is 0.205 m?

You have hung a 0.500 kg mass from the end of a 1.00 m long pendulum and suspended it from the end of a force sensor so that it is at equilibrium. You tare the force sensor. You then set the pendulum in motion. At the bottom of the motion, the sensor reads -1.96 N. How much tension is there in the string, in N?

Babe Ruth hits a baseball 1 meter above the ground at a 20 degree angle above the horizon. He hits almost consistently between each game. If Babe Ruth wanted the ball to stay in the air longer, what should he change? Hit the ball closer to the ground. Hit the ball with a lower force. Stand closer to the batter, keep everything else the same. Hit the ball at a larger angle above the horizon.

Some non-digital scales use springs to determine the mass of interest. A grocery store provides such a scale for customers to weigh their fruits and vegetables. One customer has a bag of apples, each with a mass of 187 grams [g]. When holding the bag of apples, the scale is pushed down by 2.9 millimeters [mm]. The scale operates using two springs connected in parallel, one with a spring constant of 4.5 newtons per millimeter [Nmm] and the other with a spring constant of 3.1 newtons per millimeter [Nmm]. In Question 5, you will be asked to determine the number of apples in the bag. Next, determine the mass applied to the spring system in units of kilograms [kg].

ALSO...the solution is not 453.6238. Someone previously here gave me this answer and it is incorrect.

A 1 kg cylinder rests on a spring k = 100 N/m. A force of 90N is applied from an equilibrium position. What velocity will the cylinder have when it moves downwards s=0.23 due to the application of force?