Question 1) This diagram shows a mass of 0.500[kg] that can move along the x-direction. An...
Question 2) This diagram shows a mass of 0.500[kg] that can move along the x-direction. An ideal spring also along the x-direction is attached to the mass and the wall. But it could be a different spring than the one in question #1 The spring is relaxed when the mass is located at the equilibrium position which is at, x-0001ml. Assume that the force by the spring is the only force acting on the mass During the oscillations, the location...
A 3.50 kg mass is attached to a spring and set into motion horizontally along a frictionless track. At time t = 0.00 s, the mass passes through the equilibrium position (x = 0.00 m) moving to the left. At time t = 0.85 s, the mass reaches the left endpoint (x = - 0.16 m). a) Write an equation to describe the motion of the mass throughout time. [4] b) Find the spring constant, k. [2] c) Find the...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.30 N is applied. A 0.520-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (d)...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.80 N is applied. A 0.510-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...
A 0.64 kg mass is attached to a light spring with a force constant of 23.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following. (a) maximum speed of the oscillating mass _____ m/s (b) speed of the oscillating mass when the spring is compressed 1.5 cm _____ m/s (c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium...
A mass m = 2.77 kg is attached to a spring of force constant k = 44.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.11 m from its equilibrium position and then releasing it. The figure below shows the oscillating mass and the particle on the associated reference circle at some time after its release. The reference circle has a radius A, and the particle traveling on the reference circle...
A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at t=0 and moves to the right (consider the right to be the positive x direction). The amplitude of its motion is 3.00cm and the frequency is 1.50Hz. At what earliest time does the mass have the maximum positive acceleration (i.e. pointing in the positive x direction)? A. t=0.667 seconds B. t=1.50 seconds C. t=0.500 seconds D. t=0.167 seconds E....
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring constant K Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
1. (20 points) A block of mass 0.500 kg is forced against a spring of negligible mass, compressing the spring 0.200 m. as shown in the figure. When released from rest, the block leaves the spring after moving 0.200 m, then continues moving along the everywhere rough, horizontal tabletop. The force constant is 1.00 x 102N/m. The coefficient of kinetic friction between tabletop and block is 0.362. a) Draw a figure indicating and labeling all external forces acting on the...
A block with mass 0.500 kg is attached to a horizontal spring that has force constant 125 N/m and the block moves in simple harmonic motion on a horizontal frictionless surface. when the block is at x=-0.300 m, its speed is v=+4.00 m/s. a) what is the amplitude of the motion? b) what is the speed of the block when it is at x=-0.100 m? Can you right of the steps on how to solve it, thank you!