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Mrrafil [7]
3 years ago
10

Tendons. Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hooke’s law. I

n laboratory tests on a particular tendon, it was found that, when a 250-g object was hung from it, the tendon stretched 1.23 cm. (a) Find the force constant of this tendon in N>m. (b) Because of its thickness, the maximum tension this tendon can support without rupturing is 138 N. By how much can the tendon stretch without rupturing, and how much energy is stored in it at that point?
Physics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

Explanation:

Given

mass of object(m)=250 gm

Stretching(x)=1.23 cm

Suppose force constant to be k

then kx=mg

k\times 1.23\times 10^{-2}=250\times 10^{-3}\times 9.8

k=\frac{9.8\times 100}{4\times 1.23}

k=199.18 N/m

(b)Maximum Tension is 138 N

138=kx

x=\frac{138}{199.18}=0.692\approx 69.2 cm

Energy stored=\frac{kx^2}{2}=\frac{199.18\times (0.692)^2}{2}=47.80 J

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Halley's comet orbits the sun roughly once every 76 years. It comes very close to the surface of the Sun on its closest approach
Licemer1 [7]

Answer:

r1 = 5*10^10 m , r2 = 6*10^12 m

v1 = 9*10^4 m/s

From conservation of energy

K1 +U1 = K2 +U2

0.5mv1^2 - GMm/r1 = 0.5mv2^2 - GMm/r2

0.5v1^2 - GM/r1 = 0.5v2^2 - GM/r2

M is mass of sun = 1.98*10^30 kg

G = 6.67*10^-11 N.m^2/kg^2

0.5*(9*10^4)^2 - (6.67*10^-11*1.98*10^30/(5*10^10)) = 0.5v2^2 - (6.67*10^-11*1.98*10^30/(6*10^12))

v2 = 5.35*10^4 m/s

3 0
3 years ago
A man holding a rock sits on a sled that is sliding across a frozen lake (negligible friction) with a speed of 0.550 m/s. The to
Arisa [49]

Answer: 0.5 m/s

Explanation:

Given

Speed of the sled, v = 0.55 m/s

Total mass, m = 96.5 kg

Mass of the rock, m1 = 0.3 kg

Speed of the rock, v1 = 17.5 m/s

To solve this, we would use the law of conservation of momentum

Momentum before throwing the rock: m*V = 96.5 kg * 0.550 m/s = 53.08 Ns

When the man throws the rock forward

rock:

m1 = 0.300 kg

V1 = 17.5 m/s, in the same direction of the sled with the man

m2 = 96.5 kg - 0.300 kg = 96.2 kg

v2 = ?

Law of conservation of momentum states that the momentum is equal before and after the throw.

momentum before throw = momentum after throw

53.08 = 0.300 * 17.5 + 96.2 * v2

53.08 = 5.25 + 96.2 * v2

v2 = [53.08 - 5.25 ] / 96.2

v2 = 47.83 / 96.2

v2 = 0.497 ~= 0.50 m/s

3 0
3 years ago
1. Which type of wire would be a better conductor of an electrical current?
Lelechka [254]

Answer:

1. a

2. b

3. b

Explanation:

1.

Resistance is the property of a conductor to offer resistance to the flow of current. The lower the resistance better is  the conductivity of wire.

We know that the resistance of a wire depends on several factor which are inter-connected by an equation as:

R=\rho.\frac{l}{a}

where:

R = resistance of the wire

l = length of the wire

a= cross sectional area of the wire  

from the above relation we observe that

R\propto l

R\propto \frac{1}{a}

  • Also when the temperature of the wire is significantly high then the lattice vibration cause obstruction in the path of the flowing charges and reduce the current flow.

2.

As the collision between the electrons and protons increases the speed of the flow of charges will decrease because the opposite charges attract each other and as we know that electrical current is the rate of flow of charge.

3.

Heating up of wire due to sunlight will cause lattice vibration in the conductor and will obstruct the movement of the charges which build up electric current, hence increasing the resistance of conductivity.

7 0
3 years ago
Planets move around the sun in elliptical orbits.<br> A. true<br> B. false
julia-pushkina [17]

Answer:All planets move in elliptical orbits, with the sun at one focus. This is one of Kepler's laws. The elliptical shape of the orbit is a result of the inverse square force of gravity. The eccentricity of the ellipse is greatly exaggerated here.

so it is true

Explanation:

4 0
3 years ago
Read 2 more answers
If f(x) = -3x +4 and g(x) = 2, solve for the value of x for<br>which (fx) = g(x) is true.​
maksim [4K]

Answer:

x=-\frac{2}{3}

Explanation:

Let:

f(x)=-3x+4\\\\And\\\\g(x)=2

We need to know for which value of x the function f(x) is equal to g(x):

f(x)=g(x)

Therefore, we need to solve for the previous equation for x:

Replacing the values of f(x) and g(x):

-3x+4=2

Subtract 4 from both sides:

-3x+4-4=2-4\\\\-3x=-2

Multiply both sides by -1

-3x(-1)=-2(-1)\\\\3x=2

Divide both sides by 3:

\frac{3x}{3} =\frac{2}{3} \\\\x=\frac{2}{3}

Therefore the value of x for which f(x)=g(x) is x=\frac{2}{3}.

Verify the result:

-3(\frac{2}{3} )+4=2\\\\-2+4=2\\\\2=2

4 0
3 years ago
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