A mass of 0.5 kg is attached to a spring of length 12cm causes it to stretch by 8 cm. Displace the mass from equilibrium and release it at t =0.3, ask for PE? KE? E total?
A mass of 0.5 kg is attached to a spring of length 12cm causes it to...
When a 0.184-kg mass is attached to a vertical spring, it causes the spring to stretch a distance d. If the mass is now displaced slightly from equilibrium, it is found to make 75.0 oscillations in 10.1 s. Find the stretch distance, d.
A block with mass 0.5 kg is connected by a spring of relaxed length 0.10 m to a post at the center of a low-friction table. You pull the block straight away from the post and release it, and you observe that the period of oscillation is 0.9 s. Next you stretch the spring to a length of 0.22 m and give the block an initial speed v perpendicular to the spring, choosing v so that the motion is a...
14. A mass m = 0.25 kg that is attached to a spring with spring constant k = 100 N/m is stretched 10 cm to the right of its equilibrium position. After a time t = 1 s, the mass is how far from the equilibrium position? ((+) equals to the right. (-) to the left.) a) +4.08 cm b) +2.97 cm c) -9.63 cm d) -1.28 cm e) -6.67 cm 15. A simple pendulum has a period of 3...
A mass of 0.5 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.5 m)cos[ (6π rad/s)t ]. Determine the following a. The angular frequency b. The maximum velocity c. The velocity as a function of time equation. d. The frequency. e. The position at 2 seconds.
A horizontal spring has a block of mass 1kg attached to it. The spring constant is 40 N/m. i stretch 20 cm and release. When it reaches the natural length it has velocity 1m/s. What is the work of friction?
Differential Equation problem
We know that a force of 2.8 Newtons is required to stretch a certain spring 0.7 meters beyond its natural length. A 1.44-kg mass is attached to this spring and allowed to come to equilibrium. The mass-spring system is then set in motion by applying a push in the upward direction that gives the mass an initial velocity of 1.04 meters per second. Let y(t) represent the displacement of the mass above the equilibrium position t seconds...
A block of 2 kg of mass is attached to a horizontal spring. The spring is stretched 10 cm and at t = 0 it is released from rest. The next time where the speed is zero is 0.5 s later. Calculate: a) The spring force constant k b) The maximum speed of the block c) the displacement equation d) the total energy of the system. Thank you.
A mass of 0.5 kg is attached to a horizontal spring with a spring constant of 8.0 N/m. The spring is stretched and released and it is found that the velocity of the mass is -0.204 m/s and the acceleration of the mass is +0.907 m/s2 at time t= 0.14 s. + 1. Write an expression for the position of the mass as a function of time. 2. What is the position of the mass and which direction is it...
A 0.3 kg mass is attached to a spring with a force constant of 1500 N/m. The mass is pulled to a distance Xmax, and released. If the total mechanical energy of the mass at t = 30 s is 188J, what is Xmax ? A) 5.0 m B) 0.5 m C) 1.0 m D) 0.05 m E) 15.0 m
13.7 A 5 kg mass is attached to a spring with a spring constant of 490 N/m. The spring is stretched 14 cm from equilibrium and released at t = 0 s. a) Write the equation for the position as a function of time. b) What is the position of the spring at t 0.25 s?