Problem 12: (10 points) PS 7-71: A spring with spring constant k is stretched a distance...
An m = 2.0kg block sits next to a compressed spring with spring constant k = 4.5N/m. The spring is compressed by x = 3.0m. The spring is released and pushes the box along a surface with no friction. Once freely sliding the block transitions to a ramp with an angle 35 above the horizontal. On the ramp the block experiences a constant force of friction with a coefficient of kinetic friction of μ = 0.15. How far along the ramp’s surface does the block...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The mass of the block is 14.5 kg. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constant φ=?. a) if the velocity of the block is -2.00 m/s at t= 0.150 s, what is the phase constant? b) determine the acceleration of the block at t = 0.150 s. c) what...
A spring is stretched a distance of Ax 40 cm beyond its relaxed length of x by a force, F-25 N. Attached to the end of the spring is an block of mass m-9 kg, which rests on a horizontal frictionless surface. After a moment, the force is removed. 1) What is the potential energy of the block due to the spring when it is held in the stretched position? Uclastic Submit 2) What is the total mechanical energy of...
A spring with spring constant 141 N/m is used to pull a 336 N wooden block horizontally across a tabletop at constant velocity. The coefficient of kinetic friction between the block and the table is 0.33. By how much does this spring stretch from its equilibrium length (in meters)?
A 2kg block and an 8kg block are connected by a relaxed horizontal spring with spring-constant 300N/m. You pull the 8kg block with some constant horizontal force. There is a coefficient of kinetic friction between the blocks and the floor of μk = 0.3. After a time, the spring is stretched a certain constant amount, and the system moves with constant velocity. (a) Draw free-body diagrams for both blocks. (b) What pulling force did you apply? (c) How much is...
A spring with a force constant k = 2.2x10^2 N/m is stretched by
a person. The person pulls on the spring with a final applied force
of F_app = 44 N at equilibrium (no motion). How much work was done
by the person in the process?
A spring with a force constant k = 2.2x10^2 N/m is stretched by a person. The person pulls on the spring with a final applied force of F_app = 44 N at equilibrium (no...
A block of mass m = 4.5 kg is attached to a spring with spring constant k = 710 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 25° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk=0.18. In the initial position, where the spring is compressed by a distance of d = 0.12 m, the mass is at its lowest...
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 780 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
A 12 kg block is pressed against a spring with spring constant k = 1424 N/m. The spring is normally 65 cm long but the block is pressed against it to compress the spring until it is only 27 cm long. The block is then released and the spring pushes it forward onto a frictionless surface. a)How fast is the block moving immediately after it leaves the spring? b) The mass then slides across a 2.5 m wide surface with...