
What is the relationship between delta g_z and the spring extension delta x in a vertical...
Questions 4 and 5
QUESTIONS: 1.Plot a graph of the force acting on the spring versus spring extension. 2. (a) Use the graph to calculate the spring constant including units. () Does the spring obey Hooke's Law over the range of applied forces used? Justify your response. (e) Write the equation for the spring which describes the relationship between extension and applied force to the spring. 3. (a) Use the spring equation to calculate the extension of the spring when...
(g) The relationship of the applied force F and the displacement x of a spring has the gen eral form F = kx, where the constant k is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant k of the spring used in determining the experi- mental data plotted in the Fig. 1.6 graph. (Note: Because k...
A 2.0 kg mass sits on top of a vertical spring that has a spring constant k=100 N/m. A second 2.0 kg mass is dropped from rest starting 1.0 m above the first mass. The dropped mass sticks to the first mass (Velcro) and the masses begin to bounce up and down on the spring. What is the period of the oscillation? What is the amplitude of the oscillation? How much time elapses between the time the masses collide and...
An object is suspended from the ceiling by a spring aligned along a vertical x axis, with upward defined as the positive x direction. When the spring is at its relaxed length, the object is at the origin of the axis. The object is pulled down to position −x1, held at rest, and released. Consider its motion from the instant of release until the instant it returns to −x1. Ignore friction, air drag, and the inertia of the spring. part...
A restoring force of a hypothetical spring-mass system(k(x)= 150xN/m, m = 0.200 kg) obeys a law, similar to Hooke’s law:F(x) =kx^2 How much work is done by stretching the spring from x = 5.00 cm to 15.0 cm?
A spring with k=130.0 N/m on surface is mounted to a vertical wall. A 5.00-kg box on the surface is placed in front of the spring. The coefficient of kinetic friction between the box and the surface is ylik = 0.400. A constant force F is applied to the box. F has magnitude 89.0 N and is directed against the wall. The spring is compressed 80.0 cm. Problem 5 Express your answer with the appropriate units. A spring with k=130.0...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
s Law for this (F--ks): Where F is the spring's restoring force; k is the spring constant; and s is the stretch. The negative sign means the spring's restoring force is opposite the stretch direction. You have a plot from weight IN] versus stretch [m). The data forms a linear trend y 3.662x+1,67. How much will the spring stretch if 51.7 grams is hung on the spring? Answer in centimeters with three significant figures or N/A if not enough information...
THE SPRING FORCE AND SIMPLE HARMONIC MOTION To measure and study various characteristics of a mass/spring system, including the spring constant and the dependence of the oscillation frequency on the amplitude of oscillation. i) You will measure the spring constant using two different methods: static and dynamic. ii) You will investigate the dependence of frequency on the amplitude of oscillations. 1. Write the equation that relates the applied force (not the spring force) on a spring to the displacement from...