Question

In: Physics

A 0.92 kg mass is attached to a light spring with a force constant of 30.9...

A 0.92 kg mass is attached to a light spring with a force constant of 30.9 N/m and set into oscillation on a horizontal friction-less surface. If the spring is stretched 5.0 cm and released from rest, determine the following.

(a) maximum speed of the oscillating mass? in m/s ?

(b) speed of the oscillating mass when the spring is compressed 1.5 cm? in m/s ?

(c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position? in m/s ?

(d) value of x at which the speed of the oscillating mass is equal to one-half the maximum value? in m?

Solutions

Expert Solution


Related Solutions

A 0.26 kg mass is attached to a light spring with a force constant of 36.9...
A 0.26 kg mass is attached to a light spring with a force constant of 36.9 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 position m/s...
A particle of mass 2.00 kg is attached to a spring with a force constant of...
A particle of mass 2.00 kg is attached to a spring with a force constant of 300 N/m. It is oscillating on a horizontal frictionless surface with an amplitude of 4.00 m. A 7.00 kg object is dropped vertically on top of the 2.00 kg object as it passes through its equilibrium point. The two objects stick together. (a) Does the amplitude of the vibrating system increase or decrease as a result of the collision? decreases increases no change (b)By...
A particle of mass 4.00 kg is attached to a spring with a force constant of...
A particle of mass 4.00 kg is attached to a spring with a force constant of 300 N/m. It is oscillating on a horizontal frictionless surface with an amplitude of 5.00 m. A 9.00 kg object is dropped vertically on top of the 4.00 kg object as it passes through its equilibrium point. The two objects stick together. a) By how much does the amplitude of the vibrating system change as a result of collision? b) By how much does...
A particle of mass 5.00 kg is attached to a spring with a force constant of...
A particle of mass 5.00 kg is attached to a spring with a force constant of 210 N/m. It is oscillating on a frictionless, horizontal surface with an amplitude of 4.00 m. A 8.00-kg object is dropped vertically on top of the 5.00-kg object as it passes through its equilibrium point. The two objects stick together. (a) What is the new amplitude of the vibrating system after the collision?_______________ (b) By what factor has the period of the system changed?______________...
A mass m = 3.27 kg is attached to a spring of force constant k =...
A mass m = 3.27 kg is attached to a spring of force constant k = 60.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.17 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 block with a mass of 0.488 kg is attached to a spring of spring constant...
A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation? A block with a mass of 0.976 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What...
A mass of 1.20 kg is attached to a horizontal spring with a spring constant of...
A mass of 1.20 kg is attached to a horizontal spring with a spring constant of 125 N/m. It is stretched to a length of 20.0 cm and released from rest. a) Write down an equation for the position and velocity of the block as a function of time. b) What is the maximum magnitude of acceleration that the block experiences? Is this consistent with Hooke’s Law? c) When the block is to the right of the equilibrium position with...
A 0.770-kg mass attached to a vertical spring of force constant 147 N/m oscillates with a...
A 0.770-kg mass attached to a vertical spring of force constant 147 N/m oscillates with a maximum speed of 0.322 m/s. Calculate the period related to the motion of the mass. Calculate the amplitude. Calculate the maximum magnitude of the acceleration.
A block of mass m = 2.5 kg is attached to a spring with spring constant...
A block of mass m = 2.5 kg is attached to a spring with spring constant k = 640 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 27° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.11. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
An object with mass 3.5 kg is attached to a spring with spring stiffness constant k...
An object with mass 3.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s.(a) Calculate the amplitude of the motion._____ m(b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]______ m/s
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT