A novelty clock has a 0.0104 kg mass object bouncing on a spring that has a...

A novelty clock has a 0.0104 kg mass object bouncing on a spring that has a force constant of 1.28 N/m. How many joules of kinetic energy does the object have at its maximum velocity if the object bounces 2.77 cm above and below its equilibrium position? What is the maximum velocity of the object in m/s? Show work.

Solutions

Expert Solution

genius_generous answered 3 months ago

Next > < Previous

Related Solutions

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

A 11.9-kg object oscillates at the end of a vertical spring that has a spring constant...

A 11.9-kg object oscillates at the end of a vertical spring that has a spring constant of 1.80 ✕ 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N · s/m. (a) Calculate the frequency of the damped oscillation. Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? % (c) Find the time interval that elapses while the energy of the system drops to 3.00% of its...

A spring with a mass of 1 kg has damping constant 10 kg/s and a spring...

A spring with a mass of 1 kg has damping constant 10 kg/s and a spring constant 41 kg/s2 . If the spring begins at equilibrium position and is given a velocity of 2 m/s, find the position of the mass at any time t. Is this overdamping, critical damping or underdamping?

A spring with a mass of 1 kg has damping constant 10 kg/s and a spring...

A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is...

A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of 9cos(3t)−6sin(3t) N,determine the steady-state response in the form Rcos(ωt−δ).

A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is...

A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of 15cos(3t)−10sin(3t) N,determine the steady-state response in the form Rcos(ωt−δ)

An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring...

An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring combination is then slid horizontally on a frictionless surface with a velocity of 5m/s towards a stationary object with m2 = 6kg. Upon impact, the spring compresses, then we examine two cases. First, find the velocities of the two objects assuming the spring completely relaxes again after the interaction. Second, assume that m2, after they separate, slides up a frictionless incline. (a) What is...

spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached...

spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of 15cos(3t)−10sin(3t) N,determine the steady-state response in the form Rcos(ωt−δ). R= _________ ω=__________ δ=___________

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...

A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resis- tance numerically equal to the magnitude of the instanta- neous velocity. If the system is driven by an external force of (12 cos 3t − 8 sin 3t) N, determine the steady-state response. (a) Find the gain function if the external force is f(t) = cos(ωt). (b)...

1.) A mass-spring system consists of an object of mass 1 Kilogram connected to a spring...

1.) A mass-spring system consists of an object of mass 1 Kilogram connected to a spring with a stiffness of 9. The damping constant is 6. Derive the function (1) that determines the distance from the equilibrium point if the initial position is 3 meters from the equilibrium point and the initial speed is 3 meters per second. a.) What is the maximum distance from the equilibrium point? b.) Determine the general solution of the nonhomogeneous linear differential equation using...

Subjects