How do you measure the mass of an astronaut in orbit? (You can't just use a scale!) For the 1973 - 1979 Skylab program (Skylab was a space station that predated the current International Space Station), NASA engineers designed a Body Mass Measuring Device (BMMD). This is essentially a chair of mass m mounted on a spring with a carefully measured spring constant ks = 605.6 N/m. (The other end of the spring is connected to the Skylab itself, which has a mass much larger than the astronaut or the chair, and so remains essentially fixed as the astronaut oscillates.) The period of oscillation of the empty chair is measured to be 0.90149 s. When an astronaut is sitting in the chair, the period is 2.12151 s. What is the astronaut's mass? Please describe your reasoning!

Q: Homework 7, Problem 6:   A vertical spring has a length of 0.25 m when a 0.225 kg mass hangs from…

A: We have  F1 = m1 g = k(x1) = k(L1 - L0)............(1)                              and  F2 = m2g =…

Q: In the year 2126, when we have a colony on the moon, an engineer brings an old grandfather clock…

A: Given,Length, The gravity of the moon, The time period of pendulum,

Q: What is the spring constant of a spring (in units of N/m) that requires 3.0 newtons of force to…

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Q: Consider a spring with a spring constant of 180 N/m hanging vertically from the ceiling. If a 8 kg…

A: Given, the spring constant of the spring, k= 180 N/m Mass attached, m= 8 kg

Q: Write an equation for the force constant of the spring in terms of the variables from the problem…

A: Given: The mass of the object is m. The stretching in the spring is d. The angle of the inclination…

Q: A spring with kkk = 58 N/mN/m hangs vertically next to a ruler. The end of the spring is next to the…

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Q: how much would the spring be compressed

A: Given: Mass of the person is m=27 kg Spring constant is k=9150 N/m Note: 1 N=1 kg·m/s2 1 m=100 cm 1…

Q: The amount a string stretches varies linearly with the mass applied to the spring, as can be seen in…

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Q: The block is at rest as shown. What is the spring constant of the spring as shown, in N/m? Use g =…

A: Given data: Mass of block (m) = 100 g = 0.100 kg Extension in spring (x) = 25 cm = 0.25 m…

Q: Suppose you have a spring and you want to know what its spring constant is. In order to  find out…

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Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

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Q: 1) How much would spring A stretch if Block Y were hanging from it back in the lab in Orlando? cm…

A: Given, When the block X is hanged from spring A in laboratory frame then the spring stretches by…

Q: The International Space Station, which has a mass of 4.65×105 kg, orbits 255 miles above the Earth's…

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Q: DNA molecules are typically folded tightly. Stretching a strand of DNA means straightening it, and…

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Q: What is approximately the gravitational force of the sun on the planet mars? (RMs= 2.28 × 10ºkm, M,…

A: Given data:  Distance between Sun and Mars (RMS) = 2.28×108 km Mass of Sun (Ms) = 1.99×1030 kg Mass…

Q: A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal.…

A: See below

Q: The star Sirus A has a mass of 2.06 MO and a radius of 1.71 RO, where M0 is the mass of the Sun…

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Q: You are a rover pilot on the crew of the initial exploration team sent to Kepler 22b, the first…

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Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…

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Q: A point with mass m is a distance d from the end of a bar, which we'll call x = 0. The…

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Q: DNA molecules are typically folded tightly. Stretching a strand of DNA means straightening it, and…

A: Required: The spring constant k

Q: Ignoring the mass of the spring, what is the mass m of the fish?

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Q: Use this information to find the spring constant (use g = 9.81 m/s² as the acceleration of gravity).…

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Q: With no one sitting on it, a certain mattress is .4 m tall. When a 715 N person sits on the…

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Q: A moving block of mass m=6.38kg collides with a horizontal spring whose spring constant is k=201…

A: Given -          Mass of the block m =6.38 kgspring constant k = 201 N/mcompression of the spring x…

Q: A box is motionless, sitting on a ramp with an incline of 0 =51.1 ° being pulled in the direction up…

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Q: A 40 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Mass of child (m) = 40 kg Spring constant of the toy (k) = 9500 Nm

Q: A mass m is suspended from a massless spring of natural length 90 cm with the spring constant k = 10…

A: Given  k = 10 N/m  xo = 90 cm (natural length of spring ) x = 6.8 cm = 0.068 m  (extension in spring…

Q: The block is at rest as shown. What is the spring constant of the spring as shown, in N/m? Use g =…

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Q: A 31 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Given data: Mass of child is, m=31 kg. Spring constant of toy is, k=8,700 N/m.

Q: The time constant equals 1/slope  Find the slope  Plot a graph of ln(Q) Vs t. Data: C = 0.24 µF

A: Given Data Q t 0.00288 0 0.0012 0.5 0.00038 1 0.0001 1.5 0.00005 2

Q: A point with mass m is a distance d from the end of a bar, which we'll call x = 0. The…

A: The objective of the question is to find the force at x = 0. The force is due to the gravitational…

Q: An instrument to measure the acceleration of gravity on Mars is constructed of a spring from which…

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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.