In a study designed to better understand the dynamics of walking, a subject stood with one leg at rest and swung the other leg at various frequencies. The metabolic power expended, in watts per kilogram of body weight, is shown in the figure below. Estimate the length of this subject’s legs. (Hint: Swinging your leg at its natural oscillation frequency requires less energy than swinging it at any other frequency.)

Q: The properties of a spring are such that a load of 2 g produces an extension of 1.7 cm. A mass of…

A: Mass (m) = 2 g = 0.002 kg Extension in the spring's length = 1.7 cm = 0.017 m

Q: one of the following statements is NOT a complete oscillation"

A:

Q: Calculate the kinetic energy of the mass 3 s into the motion, in J.

A: Mass, m=0.13Kg Stiffness of spring, k=366N/m The displacement from the equilibrium, x=0.26m

Q: System A consists of a mass m attached to a spring with aforce constant k; system B has a mass 2m…

A:

Q: A mass M is connected to a spring and can slide horizontally without friction. Stretching the spring…

A: solution is given as

Q: The properties of a spring are such that a load of 8 g produces an extension of 1.3 cm. A mass of…

A: Write the given values using suitable variables. Here m signifies spring load, x signifies spring…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A: frequency of oscillation of a pendulum is given by: f = 12πgL We can see that frequency of a…

Q: A block of mass m = 3kg is attached to a light spring with a spring constant k and moves in simple…

A: Given data: Mass of block, m=3 kg Compression, x0=-0.1 m Maximum speed, vmax=2m/s Period of…

Q: ndulum. A 12.0-g bullet is fired with a speed of 380 m/s into a ballistic pendulum with mass 6.0-kg…

A: GivenMass of bullet, m1=12 g=0.012 kginitial Speed of bullet, u1=380 m/sMass of Ballistic pendulum,…

Q: The figure shows a spring mass system. The mass of the block is 2.5 Kg, if the maximum speed reached…

A: Maximum velocity of the block in spring mass system is given by Vm = Aω…

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency…

A:

Q: What is the length of a simple pendulum whose full swing from left to right and then back again…

A:

Q: Consider a place where the gravity is one-ninth the gravity on Earth (g = g/9), then the frequency…

A:

Q: A knee joint flexes at an average rate of 150 degrees/sec during the swing phase of running. If the…

A:

Q: A 2.20 kg mass is attached to a spring and placed on a horizontal, smooth surface. A horizontal…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: An air-track glider is attached to a print. pulled 20.0 cm to the right and released at t = 0 s. It…

A:

Q: properties of a spring are such that a load of 10 g produces an extension of 1.9cm. A mass of 0.1 kg…

A: We know that  F = kx   mg = kx  k = mg/x = 10×10-3 ×9.8 / 1.9×10-2       = 5.16 N/m

Q: The diagram shows a horizontal spring attached to a block. The block’s equilibrium position is at C,…

A: Given, A block performing SHM Equilibrium at C Extreme position is at E

Q: The bob of a pendulum initially swings an arc 50 cm, and each succeeding swing goes 0.95 as far as…

A: Given, Initial length of the arc, a = 50 cm As the previous swing goes, 0.95 far as on the previous…

Q: Jack and Jill are playing with a tire swing tied to a tree branch. Jack is standing on one side of…

A: Tire swing completes one complete oscillation when it starts from jack and moves to  Jill and then…

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

A: We have given that acceleration due to gravity of earth is g acceleration due to gravity of other…

Q: A solid tungsten block of mass m is pressed against a spring of force constant k. As a result, the…

A: Given : Mass of the block  = m Force constant of spring  =  k Compressed distance of the spring  =…

Q: A cart of mass 350 g is placed on a frictionless horizontal air track. A spring having a spring…

A:

Q: In the figure, a block weighing 12.9 N, which can slide without friction on an incline at angle 0 =…

A:

Q: Consider a place where the gravity is 4 times the g the frequency of oscillation of a simple…

A:

Q: A block of mass m= 3kg is attached to a light spring with a spring constant k and moves in simple…

A: The time period T=0.889sHow such a simple harmonic spring motion:T=2πmk≡T2=4π2mk≡k=4π2mT2=149.86N/m…

Q: When a pendulum clock is taken to mountain, it becomes slow. But a wrist watch controlled by a…

A: We know that,

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), then the frequency…

A:

Q: xpress all answers in significant figures and scientific notation. A spring with a…

A: calculation

Q: Because of dissipative forces, the amplitude of an oscillator decreases 4.94% in 10 cycles. By what…

A: Introduction: Spring motion is the examples of simple harmonic motion where body passes through a…

Q: A bullet of mass 0.01 kg is fired at a block of mass 1.3 kg as shown in the figure. After the…

A:

Q: As the length of the pendulum increases, what happens to the total energy of the system? O decreases…

A: The total energy in pendulum system is mgL(1-cosθ) where m is mass of object , and L is length of…

Q: A spring mass system is placed on smooth horizontal table. From equilibrium position the mass is…

A: Given, Mass of object,m=100 g=0.1 kg Total energy of system,U=0.9 J Time taken to move from A to…

Q: Consider a placE where the gravity is one-fourth the gravity on Earth (g = g/4). then the frequency…

A:

Q: You want to create a pendulum clock (here on Earth) that will take 0.5 seconds to swing from one…

A:

Q: Consider a place where the gravity is one-fourth the gravity on Earth (g' = g/4), %3D then the…

A:

Q: A pendulum of mass 90 gm and length 60 cm is left to swing from an initial angle of 40 degrees, and…

A:

Q: Two parakeets sit on a swing with their combined center of mass 10.0 cm below the pivot. At what…

A:

Q: inthe Balistic Pendulum experiment (ahown in the figure below), which of the following is the…

A:

Q: A block of mass m= 3kg is attached to a light spring with a spring constant k and moves in simple…

A:

Q: What is the length of a simple pendulum whose full swing from left to right and then back again…

A:

Q: The distance of a swinging pendulum from its resting position is given by the function d(t) =…

A:

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A:

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.