Initially sliding with a speed of 4.3 m/sm/s, a 2.0 kg block collides with a spring and compresses it 0.42 mm before coming to rest. What is the force constant of the spring?

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

I'm not sure how to work this problem. The solutions give the answer to be V1f=0.20 m/s, v2f=2.75 m/s for part A. For part B the solutions give the answer to be x=0.22 for maximum compression for the spring. I attached a picture of the problem.

m2 m₁ Q8. A small object of mass m₂ = 4 kg is placed on top of another object of mass m1 = 6 kg, and which is connected to a spring with spring constant k = 50 N/m, as shown in the figure. Accessibility: Investigate Styles There is no friction between the larger object and the horizontal surface underneath, and the system is in equilibrium. ////// The system is pushed with an initial speed vo= √10 m/s, and then it continues to move freely. a) Find the amplitude of the oscillations if the two masses are moving together. b) Find the smallest value of the friction coefficient such during the oscillations the smallest object of mass m₂ will not slide on the larger object of mass m₁. c) Find the maximum acceleration and the maximum potential energy of the system containing the two masses. O

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?

Consider two cars that can roll on a frictionless track. Initially, both cars are at rest. One car is launched from rest with a spring, and the cars undergo a completely inelastic collision. The spring constant is 850 N/m, and the spring is initially compressed by 0.075 m. The first car has a mass of 0.50 kg and the second has a mass of 1.0 kg. An identical spring is located to the right of the cars. a. The velocity of the first car just before collision. b. The velocities of the cars after collision. c. The distance the spring on the right will be compressed when the cars are completely stopped by the spring.

Pls help ASAP.

A block is hung from the end of a spring with spring constant 15 N/m and made to vibrate up and down with a maximum speed of 0.4m/s. The spring is held up by a force sensor, which is set to read 0N when the block is at rest on the end of the spring. The graph attached belwo shows the reading on the force sensor over time as the block vibrates. Plot the position-time and velocity-time graphs for the blocks as it vibrates. Explain with work and in words how you determined the shapes of these as well as their amplitudes.

A car with mass 1530 kg crashes into a wall. The car’s velocity immediately before the collision was 12.6 m/s and the bumper is compressed like a spring with spring constant 1.14 × 107 N/m. What is the maximum deformation of the bumper for this collision?Answer in units of m.

at time T/2. 4. A 0.98 kg. block slides on a frictionless, horizontal surface with a speed of 1.32 m. The block encounters an unstretched spring with a force constant of 245N/m. How far is the spring compressed before the block comes to rest?