A simple pendulum swings back and forth in a circular path. Including the effects of air resistance, determine which statement is true. There may be more than one correct answer. A. After the pendulum is released, it will never return to its original height. B. The total linear acceleration vector always points towards the center of the circular path as the pendulum swings back and forth. C. The work done by air resistance is always negative as the pendulum swings back and forth D. The work done by the tension force is always zero as the pendulum swings back and forth E. The gravitational force always produces a counterclockwise torque as the pendulum swings back and forth.

Q: A 0.500 kg mass is hung from a vertical spring which then stretches by 10.5 cm. (a) What is the…

A: Given: Mass m=0.500 kg Elongation  y=10.5 cm=10.5×10-2 m Mass m1=1.25 kg

Q: A 0.532-kg object oscillates at the end of a vertical spring. As the spring stretches from 0.12 to…

A: Given:              Mass = 0.532 kg           x1= 0.12m → Vx1= 5.70ms-1           x2= 0.23m → Vx2 =…

Q: A block is attached to a spring. The block moves on a frictionless table in a perfect circle around…

A: GIVEN : Spring coefficient k = 15 N/m Mass of block , m = 0.80 kg Extension of spring x = 0.55 m (a)…

Q: A 0.500 kg mass is hung from a vertical spring which then stretches by 10.5 cm. (a) What is the…

A: Given, Hang mass m = 0.5 Kg x = 10.5 cm = 0.105 m   We know the expression for force on spring  F=kx…

Q: A pendulum is lifted to a certain height and then released, which causes the pendulum to swing back…

A: The total energy relation is given as TEi=TEfPEi+KEi=PEf+KEfmgh+0=0+12mv2mgh=12mv2 The potential…

Q: A pendulum is pulled back from its equilibrium (center) position and released. (a) What form of…

A: (A). When the pendulum is pulled to a height from the center then potential energy is added to the…

Q: A child is swinging on a swing, and having learned Physics, you decide to analyze the situation. The…

A: 3. The net force acting on the system can be expressed as Fnet=2T-mg=mv2r

Q: A 31.5-cm-long pendulum with a 235-g bob swings through an angle of 180°. Choose the reference…

A:

Q: a) Determine the speed the pendulum reaches at its lowest point (assume no air resistance or…

A: WE KNOW THAT     Loss on gravitational  potential energy =  gain in k.E   h= R - R cosθ     θ=30°…

Q: 22.) At which point during it's arc would a pendulum have the maximum amount of kinetic energy when…

A: A pendulum is executing a simple harmonic motion. It oscillates back and forth between its…

Q: 10. A 2.50-kg rock is attached at the end of a thin, very light rope 1.45 m long. You start it…

A:

Q: At what parts of the swing of a pendulum does it have (a) its greatest potential energy; (b) its…

A: Given that:- Simple pendulum performing SHM.

Q: Nm A block is dropped from a height above an uncompressed spring. The spring bears a spring constant…

A:

Q: A 0.250-kg block resting on a frictionless, horizontal surface is attached to a spring whose force…

A: Given : m = 0.250 kg k = 83.8 N/m x = 5.46 cm = 5.46 x 10-2 m

Q: M 3. A 20 g piece of clay moving at a speed of 50 m/s strikes a 500 g pendulum bob at rest. The…

A:

Q: An 98-g box is hang vertically from a spring. The box is raised until the spring is compressed 11 cm…

A: Mass of the box m=98 g Initial compression of the spring x=11 cm Maximum extension / Amplitude of…

Q: A 100-g object is attached to one end of a massless 10-cm rod. The system is held vertical and is…

A:

Q: Input an expression for the potential energy of the spring as a function of position. Assume that…

A:

Q: The work F dx done by the force exerted by the spring on a mass attached to the end of the spring…

A: The correct option is (e).    i.e  negative half of the time, positive the other half of time.

Q: 1. A1 kg object is attached to a horizontal spring. The spring is initially stretched by 0.1 m, and…

A:

Q: You are given a magical spring which has an odd restoring force, F = -kx², THIS IS NOT THE TYPICAL…

A: We can solve only first 3 subparts since the exact was not specified. Please resubmit the question…

Q: (b) Suppose a spring with constant k = 9 Joules/cm² is being stretched at a rate of 2 cm/s from its…

A: Energy stored in the spring is given by

Q: A 15.0 kg crate is supported by a spring 1.) attached to the ceiling and a cable attached to the…

A:

Q: A person exerts a 15N force on a cart attached to a spring and holds the cart steady. The cart is…

A:

Q: The string in the figure is L = 132 cm long, has a ball attached to one end, and is fixed at its…

A: Length of string (L) = 132 cm = 1.32 m Initial velocity = 0 msd = 90 cm = 0.9 m

Q: (a) Detemine the potential energy stored in the spring before the block is released. (b) Determine…

A: a) The spring’s potential energy can be represented as, Here, k and x represent the spring’s…

Q: A ball is launched horizontally when a spring is released. A student knows the amount of stored…

A:

Q: Q1: An object undergoes simple harmonic motion. As it momentarily passes through the equilibrium…

A: using same concept both question can be answered. the conept is as follows:

Q: A 14,000 N car starts from rest and rolls down a hill from a height of 10.0 m (see figure). It then…

A: weight = 14000 N H = 10 m initial potential energy = weight * H  = 14000 * 10 = 140000 Joules

Q: A conical pendulum consists of a weight fixed on the end of a string suspended from a privet.…

A: A simple pendulum can be thought of as a point mass suspended from a string or rod with negligible…

Q: A spring is hung from the ceiling. A 0.459 -kg block is then attached to the free end of the spring.…

A: The conservation of energy,

Q: a. What is the translational velocity of the bottom tip of the pendulum at the moment that…

A:

Q: A 34.5-cm-long pendulum with a 280-g bob swings through an angle of 180°, Choose the reference…

A:

Q: E. A 0.2 kg object is attached to a horizontal spring undergoes SHM with the total energy of 0.4 J.…

A:

Q: A 1.15 kg mass is attached to a 1.86 m string that is anchored to the ceiling. The mass is pulled…

A: Given Mass of object = 1.15 kg Length of string = 1.86 m Object released from rest at angle of 65.1°…

Q: 5. The spring in the toy gun has an unstretched length of 100 mm. It is compressed and locked in the…

A: Given data: The unstretched length of the spring is, L= 100 mm=0.1 m The compressed length is, d=…

Q: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A block with a mass m = 2.5 kg is pushed into an ideal spring whose spring constant is k = 4520 N/m.…

A:

Q: Only part (b) The head of a grass string trimmer has 100 g of cord wound in a light cylindrical…

A: a)

Q: When the trimmer is cutting grass, it spins at 2 000 rev/min and the grass exerts an average…

A:

Q: The 200 g pellet is pushed against the spring and D released from rest at A. Neglecting friction,…

A: Solution:First of all we have to calculate the velocity of pellet, which is given as:v = gRwhere, g…

Q: A rifle bullet with mass of 7.50 g strikes and embeds itself in a 0.870 kg block resting on a…

A:

Q: g rock is attached at the end of a thin, very light rope 1.45 m long. You start it swinging by…

A: GivenMass of rock, m=2.5 kgLength of rope, L=1.45 m

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.