Answered: A block with a mass M=1 kg is attached…

A block with a mass M=1 kg is attached to a spring with a spring constant k=100 N/m, stretched 0.1 m and released. What is the maximum velocity of the block? 1 m/s 10 m/s 20 m/s 50 m/s 100 m/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 64PQ: Use the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a....

See similar textbooks

Related questions

Q: A bug rides on a phonograph record. In which direction does the acceleration of the bug point? a.…

A: Given data: A bug rides on a phonograph record Required: The direction of the acceleration of the…

Q: QUESTION 13 When a young girl looks in a 6.0-cm radius, spherical Christmas tree ornament, she sees…

Q: Suppose you have an electric field as a result of superposition of two waves given by Ē(z, t) = Eo…

A: Given: Electric field: E→z,t=E0coskz-ωtx^ +E0coskz+ωtx^ To Find: Time-averaged energy density Time…

Q: Resonance Three planets have a resonance of 1:3:5. If the closest planet to the star has an orbital…

A: In the celestial mechanics, whenever two bodies are in the orbital resonance, their orbital periods…

Q: The sound of a gun is heard by an observer 6 seconds after the flash of the gun is seen. Calculate…

A: Light travel at 3×108 m/s , so we can say it reaches observer instantaneouslynow, sound raeches…

Q: 17) The moment of Inertia of a solid uniform sphere of ma given by the equation 1 = (2/5) mR2. Such…

Q: 8) You start with a 2.00 kg sample of radioactive isotope Y. After 35.0 days, 0.200 kg of the…

Q: 3 A part of a circuit is shown in the picture to the right. The currents through two of the…

Q: 4. A car is moving along straight-line path with speed of 16 m/s. After 10 seconds the driver…

A: We have a car moving with a constant velocity of u=16 m/s for t1=10 s. In the next t2=5 s the car…

Q: A current runs through the wire shown at right while the wire passes through a region of constant…

A: The Situation is shown in the figure below: a) As the points are shown to represent the direction…

Q: Wire 1 consists of a circular are of 200° and two radial lengths; it carries current i₁ = 0.50 A in…

A: GivenI1 = 0.50 Aα = 200° = 200 ×π180 radian =10π9 radianR = 3 cm =0.03 mI2 = 0.75 A

Q: QUESTION 5 A teenage with hyperopia has an abnormal near point of 1.0 m. What power of corrective…

Q: Which of the following statements is not true for a solid, conducting object in electrostatic…

A: The electric field at the surface of the conductor is always perpendicular to the surface. It can't…

Q: These low-level clouds are composed of water droplets and indicate slightly unstable conditions.…

A: Given : These low-level clouds are composed of water droplets and indicate slightly unstable…

Q: 2. Consider a box 1-meter on a side at standard room conditions containing air composed…

Q: what are some facts about the laser device (Light Amplification by Stimulated Emission of…

Q: 9. Tau leptons are fundamental particles with a mass of 1777 MeV/c² and a mean lifetime of 2.903 x…

Q: 1. How large an expansion gap should be left between steel railroad rails if they may reach a…

Q: 4) A 1 kg object is moving with a velocity of 6 m/s to the right. It collides and sticks to a 2 kg…

Q: A proton moves in a uniform magnetic field as shown below. Find the direction of the force on the…

A: Proton in a uniform magnetic field B, moving with velocity v→. We need to find the direction of…

Q: 15) An object of mass 0.5 kg., moving in a circular path of radius 0.25 m, experiences a centripetal…

Q: 10) A box with a mass of 2 kg accelerates in a straight line from 4 m/s to 8 m/s of a force whose…

A: Given data: Mass (m) = 2 kg Initial velocity (u) = 4 m/s Final velocity (v) = 8 m/s Time (t) = 0.5…

Q: 14. An electron is bound in a one-dimensional infinite square well potential in the first excited…

Q: 17) The moment of Inertia of a solid uniform sphere of mass m and radius R is given by the equation…

Q: QUESTION 5 A bowling ball in the shape of a uniform, solid sphere, that is travelling on a level…

Q: 6. Consider the two vectors. A = 31-41 B=6k a. What is the cross product AXB? b. What is the dot…

Q: 8) An object spins with angular velocity 10 rad/s. If the objects moment of mertia increases by a…

Q: One kg of H₂O at 0°C (as a liquid) is brought into contact with a heat reservoir at 100°C. When the…

Q: 2. A ship leaves port and travels 80 km along a heading of 230°, then 130 km along a 90-degree…

A: Given that, after leaving port, a ship sails d1=80 km along a heading of θ1=230°, d2=130 km along a…

Q: so how do we get the an

A: Intial velocity (u) = 40 m/sFinal velocity (v) = 10 m/sDistance travelled (s) = 1750 musing the…

Q: 2. A bowler lifts a bowling ball from the floor and places it on a rack. If you know the weight of…

A: Given, we know that ,weight of the ball Here, work done =change in potential energy…

Q: The conductivity of a plasma is purely imaginary given by o = ioo. Therefore, J = ioo E If the…

A: Given: conductivity of plasma is iσ0 J→ = iσ0E→ Electric field - E→ = E0eikz-ωti^ To Find:…

Q: What is the resonant frequency, in kilohertz, of the circuit? (f) What is the rms current, Irms,…

Q: A copper rod (length = 1.83 m, radius= 3.87 x 103 m, Young's modulus 1.1 x 1011 N/m²) hangs down…

Q: 13) Given the diagram below, what is the net torque about an axis through A? F-30N O 30 K F-20N 15m…

Q: or

A: Distance of far point from eye = -80cm

Q: Find the location of the point at which kinetic energy and potential energy are equal in terms of…

A: Since the system is not given in the question, we will take a ball being dropped from a height h as…

Q: If a resistor in a series circuit is shorted, the series current, I drops to zero stays the same…

A: Given, A resistor in a series circuit is shorted. We know that current = VoltageReq In series…

Q: A trap-jaw ant snaps its mandibles shut at very high speed, a good trait for catching small prey.…

Q: 5. The figure below shows the top-view of a long straight wire and a circular loop, both carrying…

Q: Matthew Damon is a 70-kg astronaut on a space-walk outside the international space station. He is at…

A: Given data: m1 = 70 kg and m2 = 2.0 kg Speed of the hammer away from space station v2 = 14 m/s…

Q: If a particle's position is given by the expression x(t) = 3.4t³- 5.4t meters, what is the…

A: Givenx(t)=3.4t3-5.4t meteras acceleration a(t)=d2x(t)dt2

Q: In Figure below the hand moves the end of the Slinky up and down through two complete cycles in one…

Q: An object of height 5.19cm is placed 45.4 cm from a converging lens of focal length 13.1 cm. How big…

Q: Determine the magnetic field direction that causes the negatively charged particle shown in the…

A: Let's write each quantity in vector form F = F i v = - v j Let B be the magnetic field

Q: 9) An object of mass 2 kg has a linear momentum of 6 kg. m/s. What is this objects Kinetic energy?…

Q: Oxygen-19 is unstable and undergoes 3- decay. Anna has a sample of 1.000 × 10¹0 Oxygen-19 atoms at…

Q: 2. A solid (full) insulating sphere of radius R has a uniform volume charge density p…

Q: x = ■ ΑΣΦ Submit Part C Request Answer f1, f2 = ? m What will be the two lowest frequencies that…

Q: Two curved plastic rods, one of charge +q and the other of charge -q, form a circle of radius R =…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The position of a particle attached to a vertical spring is given by y=(y0cost)j. The y axis points upward, y0 = 14.5 cm. and = 18.85 rad/s. Find the position of the particle at a. t = 0 and b. t = 9.0 s. Give your answers in centimeters.
You attach a block to the bottom end of a spring hanging vertically. You slowly let the block move down and find that it hangs at rest with the spring stretched by 15.0 cm. Next, you lift the block back up to the initial position and release it from rest with the spring unstretched. What maximum distance does it move down? (a) 7.5 cm (b) 15.0 cm (c) 30.0 cm (d) 60.0 cm (e) The distance cannot be determined without knowing the mass and spring constant.
Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59
A 1.50-kg box rests atop a massless vertical spring with k = 4250 N/m that has been compressed by 15.0 cm from its equilibrium position. The box is released and leaves the spring when it reaches its equilibrium position. What is the maximum height the box reaches above its original position?
You attach a block to the bottom end of a spring hanging vertically. You slowly let the block move down and find that it hangs at rest with the spring stretched by 15.0 cm. Next, you lilt the block back up to the initial position and release it from rest with the spring unstretched. What maximum distance does it move dawn? (a) 7.5 cm (b) 15.0 cm (c) 30.0 cm (d) 60.0 cm (e) The distance cannot be determined without knowing the mass and spring constant.
Review. This problem extends the reasoning of Problem 41 in Chapter 9. Two gliders are set in motion on an air track. Glider 1 has mass m1 = 0.240 kg and moves to the right with speed 0.740 m/s. It will have a rear-end collision with glider 2, of mass m2 = 0.360 kg, which initially moves to the right with speed 0.120 m/s. A light spring of force constant 45.0 N/m is attached to the back end of glider 2 as shown in Figure P9.41. When glider 1 touches the spring, superglue instantly and permanently makes it stick to its end of the spring. (a) Find the common speed the two gliders have when the spring is at maximum compression. (b) Find the maximum spring compression distance. The motion after the gliders become attached consists of a combination of (1) the constant-velocity motion of the center of mass of the two-glider system found in part (a) and (2) simple harmonic motion of the gliders relative to the center of mass. (c) Find the energy of the center-of-mass motion. (d) Find the energy of the oscillation.
A block of mass M rests on a table. It is fastened to the lower end of a light, vertical spring. The upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg/k. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. In terms of m, what is the greatest possible value for m?
A particle with a mass of 0.500 kg is attached to a horizontal spring with a force constant of 50.0 N/m. At the moment t = 0, the particle has its maximum speed of 20.0 m/s and is moving to the left. (a) Determine the particles equation of motion, specifying its position as a function of time. (b) Where in the motion is the potential energy three times the kinetic energy? (c) Find the minimum time interval required for the particle to move from x = 0 to x = 1.0 m. (d) Find the length of a simple pendulum with the same period.
Use the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.
A cafeteria tray dispenser supports a stack of trays on a shelf that hangs from four identical spiral springs under tension, one near each corner of the shelf. Each tray is rectangular, 45.3 cm by 35.6 cm. 0.450 cm thick, and with mass 580 g. (a) Demonstrate that the top tray in the stack can always be at the same height above the floor, however many trays are in the dispenser, (b) Find the spring constant each spring should have for the dispenser to function in this convenient way. (c) Is any piece of data unnecessary for this determination?
A 0.250-kg block along a horizontal track has a speed of 1.50 m/s immediately before colliding with a light spring of force constant 4.60 N/m located at the end of the track. (a) What is the springs maximum compression if the track is frictionless? (b) If the track is not frictionless, would the springs maximum compression be greater than, less than, or equal to the value obtained in part (a)?
An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to 230 N. (a) What is the equivalent spring constant of the bow? (b) How much work does the archer do in pulling the bow? Figure P5.64