3. At t = 0, a 785g mass at rest at the end of a horizontal...

3. At t = 0, a 785g mass at rest at the end of a horizontal spring (with k = 184 N / m) is struck with a hammer, giving it an initial speed of 2.26 m / s. Determine (a) the period and frequency of motion, (b) the amplitude A, (c) the maximum acceleration, (d) the position x = x (t) as a function of time, (e) the total energy of the system (f) the kinetic energy when x = 0.50A where A is the amplitude.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A 5.0 kg mass is initially at rest on a horizontal frictionless surface when a horizontal...

A 5.0 kg mass is initially at rest on a horizontal frictionless surface when a horizontal force along an x axis is applied to the block. The force is given by ? ⃗(?) = (6.0?2 − 2?3)?̂, where the force in in newtons, x is in meters, and the initial position of the block is x = 0. (a) What is the work done in moving the block from x = 1.0 m to x = 3.0 m? (b) What...

At t = 0, an electron (mass = 9.11 ×10-31 kg) is released from rest 1.00...

At t = 0, an electron (mass = 9.11 ×10-31 kg) is released from rest 1.00 meter above the center of a charged, circular ring, which has a total charge of –3.00 nC. The diameter of the ring is 2.00 meters and the plane of the ring is oriented horizontally. What are the magnitude and direction of the acceleration of the electron, just after it is released?

A box of mass 18.0 kg sits at rest on a horizontal surface. The coefficient of...

A box of mass 18.0 kg sits at rest on a horizontal surface. The coefficient of kinetic friction between the surface and the box is 0.300. The box is initially at rest, and then a constant force of magnitude FF and direction 39.0 ∘∘ below the horizontal is applied to the box; the box slides along the surface. A. What is F if the box has a speed of 6.00 m/s after traveling a distance of 8.00 mm? Express your...

A 1.1 kg mass is held at rest on top of a frictionless and horizontal table....

A 1.1 kg mass is held at rest on top of a frictionless and horizontal table. A light string loops over a pulley which is in the shape of a 10 cm radius solid disk which has a mass of 1.1 kg. The light string then supports a mass of 1.1 kg which is hanging in air. The mass on the table is released and the suspended mass falls. What is the acceleration of the falling mass. What is the...

Consider the initial value problem mx′′+cx′+kx=F(t), x(0)=0, x′(0)=0 modeling the motion of a spring-mass-dashpot system initially at rest...

Consider the initial value problem mx′′+cx′+kx=F(t), x(0)=0, x′(0)=0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m=2 kilograms, c=8 kilograms per second, k=80 Newtons per meter, and F(t)=80cos(8t) Newtons. Solve the initial value problem. x(t)= Determine the long-term behavior of the system. Is limt→∞x(t)=0? If it is, enter zero. If not, enter a function that approximates x(t) for very large positive values...

A block with mass 5 kg is attached to the end of a horizontal spring with...

A block with mass 5 kg is attached to the end of a horizontal spring with spring constant 200N/m. The other end of the spring is attached to a wall. The spring is stretched 10cm in the positive directions from its equilibrium length. Assume that the block is resting on a frictionless surface. A) When the spring is fully stretched, what is the magnitude of the force from the spring on the block? B) We then release the block, letting...

an 8 Kg mass initially at rest swings from a 5m long cable that is horizontal...

an 8 Kg mass initially at rest swings from a 5m long cable that is horizontal when it starts as the bottom of its arc it picks up a 3 kg mass initially at rest inelastic collision.with what maximum height do both masses reach after their upward swing? neglect frictional forces

A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding...

A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding a ball of wet clay with mass mg=10 kg . In front of the person is a large block with mass M=20 kg at rest next to a spring with stiffness k=100 N/m . The person throws the ball horizontally, it sticks to the block, and then ball and block slide and compress the spring a distance 1=0.75 m away from equilibrium before the...

An apple with mass 0.4 kg is hanging at rest from the lower end of a...

An apple with mass 0.4 kg is hanging at rest from the lower end of a light vertical rope. A dart of mass 0.1 kg is shot vertically upward, strikes the bottom of the apple, and remains embedded in it. a) If the speed of the dart is 5 m/s just before it strikes the apple, what is the speed of the apple just after the collision? b) How much energy was dissipated during the strike? c) How high does...

A block with mass M is connected to one end of a horizontal spring of constant...

A block with mass M is connected to one end of a horizontal spring of constant k, the other end of which is attached to the wall. The block moves with a simple harmonic motion on a frictionless surface. The amplitude of the harmonic motion is A1. When the block passes through the equilibrium position, a piece of plasticine, of mass m, is dropped vertically on the block and remains glued to it. Calculate the energy of the system in...

Subjects