simple pendulum is suspended from the ceiling by means of a string of length  2.00 m. Now you start with the pendulum at 45.3 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side and reaches a maximum angle of 56.6 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it?     2.45 m/s     4.20 m/s     3.41 m/s     6.30 m/s

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

A: In oscillation   maximum acceleration=ω2Awhere ω=angular velocity and A=maximum amplitude Maximum…

Q: A 90-gram pendulum swings in a clock and a pendulum swings on a 3-meter-long string attached to a…

A:

Q: An ideal spring is holding up a massless pulley as shown above. The end of the rope running over the…

A:

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

A: Time taken in one oscillation is called time period. So time taken in two oscillations = 2 T

Q: A spring with spring constant 10.5 N/m hangs from the ceiling. A 420 g ball is attached to the…

A:

Q: This, the length of the pendulum is 2.46 m. Now you start with the pendulum at 18.2 degrees with…

A: Let initial speed is u ( at point A )

Q: A 4.00-kg mass is connected to a cable attached to a spring with a spring constant of 75.0 N/m. when…

A: Given, The mass , m = 4.00 Kg Spring constant, k = 75.0 N/m Initial velocity , vi = 2.00 m/s∆x =…

Q: A simple pendulum of length L. has a maximum angular displacement 0 max. At one point in its motion,…

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Q: A student releases the 4kg bob of a 1.9m long pendulum from the position shown. Neglect loss. What…

A:

Q: 50-cm-long spring is suspended from the ceiling. A 410 g mass is connected to the end and held at…

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Q: Five hoops are each pivoted at a point on the rim and allowed to swing as physical pendulums. The…

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Q: At what angle does the tension in the 0.6 m long pendulum cord become zero if the 1.0 kg pendulum…

A: Length of string(l)= 0.6 m Speed at lowest point(v) = 5 m/s2 Mass(m) = 1 kg

Q: A simple pendulum consists of a weight with mass 5.5 kg suspended from a 0.4 m long wire. The weight…

A: Given:   A simple pendulum consists of a weight with mass 5.5 kg .   m = 5.5 kg l = 0.4 m theta = 50…

Q: A heavy steel ball is hung from a cord to make a pendulum. The ball is pulled to the side so that…

A: Given data The horizontal inclination of the ball is θh = 5°. The vertical inclination of the ball…

Q: A clock has a pendulum that performs one full swing every 1.25 s (back and forth). The object at the…

A: Period: The time taken to complete one full swing (back and forth) or cycle is known as period of…

Q: A simple pendulum is made from a 0.642 m long string and a small ball is pulled through a small…

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Q: This, the length of the pendulum is 2.08 m. Now you start with the pendulum at 13.8 degrees with…

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Q: A 0.75-kg metal sphere oscillates at the end of a vertical spring. As the spring stretches from 0.12…

A:

Q: 1. A small block, with a mass of 1.5 kg, starts from rest at the top of the apparatus shown above.…

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Q: A simple pendulum has a length of 70cm and a bob of mass 0.9kg. When the string is at 15 degrees to…

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Q: The figure blow shows the kinetic energy of a simple pendulum versus its angle θ from the vertical.…

A: The change in kinetic energy = the change in potential energy  for θ  = 0  to  100  mrad  the change…

Q: A simple pendulum has a period of 4.1 s and an amplitude of 5.0 cm. The mass of the bob is 5 g.…

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Q: A mass m = 6.6 kg hangs on the end of a massless rope L = 2.04 m long. The pendulum is held…

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Q: A 9 kg block is attached to a spring with a spring constant of 5 N/m. While the block is sitting at…

A: Solution: The moment at which the student hits the block with the hammer, the kinetic energy of the…

Q: A 500-g mass oscillates horizontally at the end of a spring with the spring constant of 360 N/m.…

A: Given: Mass m=500 g, Spring constant k=360 N/m, Displacement from the equilibrium x=12 cm=0.12 m.…

Q: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 53.0…

A: T= 2πlgT is time periodl is length of pendulumg is gravitational accelerationHere  90 full swing in…

Q: *8. D A uniform 1.4-kg rod that is 0.75 m long is suspended at rest from the ceiling by two springs,…

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Q: A student releases the 4kg bob of a 1.9m long pendulum from the position shown. Neglect loss. What…

A:

Q: gy peno

A: Maximum kinetic energy of simple pendulum is KEmax = 1/2 m A2 w2 Angular frequency  w= 2π /T m =…

Q: This, the length of the pendulum is 2.07 m. Now you start with the pendulum at 39.6 degrees with…

A: Solution:-Given that

Q: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 48.0…

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Q: This relates the initial speed of the pendulum box to the height that it goes: V =sqrt 2 g h .  The…

A: Given that, the speed can be expressed as, v=2gh

Q: A simple pendulum is released from rest when the mass is 33.1 cm above its lowest point. What is the…

A: Given data The height from which the simple pendulum is released is calculated as hr = 33.1 cm. The…

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

A: Here given the ratio of the maximum angular acceleration and maximum angular velocity of a simple…

Q: This relates the initial speed of the pendulum box to the height that it goes: V =squr 2 g h . The…

A:

Q: A 0.48 kg block is attached to a spring with a spring constant 0.69 N/m. Both the spring and the…

A: mass = 0.48 Kg Spring constant = 0.69 N/m Extension in length of spring = 0.42 m Amplitude (A) =…

Q: 3. A simple pendulum of length 2.00 m is made with a mass of 2.00 kg. The mass has a speed of 3.00…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the…

A: Given Data: The mass of the pendulum is m=110 g.The length of the swings is L=15 m.The amplitude of…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

A: Given:  Pendulum string length, r=2 m Bob's mass→m Initial velocity, v=0.2 m/s

Q: spring constant k

A:

Q: A 185.4 g mass-spring system is rapidly oscillating. The spring used in the system has a spring…

A: Given data: The mass is m = 185.4 g The spring constant is k = 12.4 N/m The displacement is x =…

Q: A simple pendulum of length L, has a maximum angular displacement 0_max. At one point in its motion,…

A: Given,  KE at a point = 3 J PE at the same point = 4.2 J  Total energy = KE + PE = 3 + 4.2 = 7.2 J…

Q: A 5.00 kg partridge is suspended from a pear tree by an ideal spring of negligible mass. When the…

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Q: Velocity and Acceleration of Simple Pendulum. L= 1m,T0 = 0, θ = 0, θ’ = 10deg/s, θ’’ = 2deg/s*s.…

A: Given Data: Let us consider the given data, L=1m Tf =1sec To Find: The position at T-0 and T-f

Q: A massive space freighter wants to accelerate at 1g. It takes time for the rocket engines to rev up,…

A: The equation of the acceleration is given by,

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.