Physics, 25.12.2019 05:31 tilsendt

Ahorizontal spring with spring constant of 9.80 n/m is attached to a block with a mass of 1.20 kg that sits on a frictionless surface. when the block is 0.345 m from its equilibrium position, it has a speed of 0.540 m/s.(a) what is the maximum displacement of the block from the equilibrium position? m(b) what is the maximum speed of the block? m/s(c) when the block is 0.200 m from the equilibrium position, what is its speed? m/s

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Answer from: chimmyy14

Explanation:

Given

at certain point displacement and velocity is 0.345 m and 0.54 m/s

Therefore Potential and Kinetic Energy associated is

$U=\frac{1}{2}kx^2$

$U=\frac{1}{2}\times 9.8\times (0.345)^2$

U=0.583 J

Kinetic Energy $K=\frac{1}{2}mv^2$

$k=\frac{1}{2}\times 1.2\times (0.54)^2=0.174 J$

Total Energy T=U+K=0.583+0.174=0.757 J

Total Energy is conserved hence at maximum displacement all energy will be Potential energy

$T=\frac{1}{2}kA^2$

where A=maximum displacement

$0.757=\frac{1}{2}\times 9.8\times A^2$

0.1544=A^2

A=0.393 m

Maximum speed occurs at equilibrium Position where Potential Energy is zero

thus $T=\frac{1}{2}mv^2$

$0.757=\frac{1}{2}\times 1.2\times v_{max}^2$

$v_{max}=1.123 m/s$

(c)When block is at 0.2 m from Equilibrium speed then its Potential Energy is

$U=\frac{1}{2}kx^2=\frac{1}{2}\times 9.8\times (0.2)^2=0.196 J$

T=U+K

K=0.757-0.196=0.561 J

$K=\frac{1}{2}mv^2$

$0.561=\frac{1}{2}\times 1.2\times v^2$

v=0.966 m/s

Answer from: Quest

found in the nucleus

has mass of one amu

Answer from: Quest

elly's long hair:

a. if the salon only takes cash, then this isn't the problem. it doesn't matter how much she has in her checking account. she can't get a haircut until she has the cash.

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justin can't pay the full balance:

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b. he can ask for the grace period to be extended. but that's no solution, the bank will almost certainly refuse anyway, and there are much better options. he knew the rules of his credit card when he started using it.

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i'd say that justin's best best option isn't on this list of choices. what he has to do: pay as much as he can at least the minimum payment plus as much more as he can and then avoid adding more debt.

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Ahorizontal spring with spring constant of 9.80 n/m is attached to a block with a mass of 1.20 kg th...

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