A particular spring has a rest length of 5.0 cm when it is not compressed, and a length of 4.5 cm when a mass of 10kg is placed on top of it in the lab. How long is the spring with the 10kg mass on top when it is taken into an elevator accelerating upwards at 1.0 m/s2? Please answer in units of centimeters.

4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, lk, and vo. (b) What is an expression for the maximum value that v。 could be in order for the spring to remain maximally compressed, no matter what material the block and surface are? Give your answer in terms of m, k, pk. Hint: the coefficient of static friction is always greater than the coefficient of kinetic friction.

A massive space freighter wants to accelerate at 1g. It takes time for the rocket engines to rev up, and turn up to their desired power. The freighter starts from rest, and its acceleration (until it reaches 1g) is: 3 2t 1 T 2t 3 T a(t) = – Ag - The captain wants to reach 1g at time t = T. What must A be, to satisfy a(T) = 1g? 2)

A frictionless spring with a 6-kg mass can be held stretched 1.4 meters beyond its natural length by a force of 70 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 2 m/sec, find the position of the mass after t seconds.

3B. A 0.300 kg mass is initially held at rest against a compressed spring with a spring constant of 500 N/m. The system is situated such that the mass is on a frictionless, horizontal surface and the spring acts parallel to the surface. a) If the mass leaves the spring with a speed of 20.0 m/s, by how much was the spring initially compressed? b) What is the speed of the mass when the spring is halfway back to its equilibrium position?

Problem #1: The massless spring of a spring gun has a force constant =10N/cm. When the gun is aimed vertically, a 12-g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) a. What distance, d, was the spring compressed initially? b. What speed does the ball have when it is a height of 2.0m above the equilibrium position of the spring? 5.0 m d NNNNNNNN CNNNNNNN

A 700,000 g roller coaster car traveling at 70.0 mph is stopped by a spring with a spring constant of 50,000 N/m. by how much does the spring compress in stopping the car?

Choose the correct answer choice. Answer must be in scientific notation with SI units that do not have prefixes except for kg. (m/s NOT cm/s). Answer must be in standard scientific notation

An instrument to measure the acceleration of gravity on Mars is constructed of a spring from which is suspended a mass of 0.75 kg. At a place on earth where the local acceleration of gravity is 9.81 m/s2, the spring extends 8.31 cm. When the instrument package is landed onMars, it radios the information that the spring is extended 0.75 cm. What is the Martian acceleration of gravity?

An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is initially at rest and starts moving under a net force of F =(3N)î +(4N)ĵ . What is the object's speed in m/s after moving 1 meter?