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Mariana [72]
2 years ago
7

What is the potential energy of the two-spring system after the point of connection has been moved to position (x, y)? keep in m

ind that the unstretched length of each spring ℓ is much less than l and can be ignored (i.e., ℓ≪l). express the potential in terms of k, x, y, and l?
Physics
2 answers:
aleksley [76]2 years ago
8 0
The answer is not c or d
GaryK [48]2 years ago
6 0

Answer:

P.E=1/2k((-L – x)^2 + (L – x)^2 + 2(-y)^2)

Explanation:

What is the potential energy of the two-spring system after the point of connection has been moved to position (x, y)? keep in mind that the unstretched length of each spring ℓ is much less than l and can be ignored (i.e., ℓ≪l). express the potential in terms of k, x, y, and l?

potential energy is equal to the kinetic energy

potential energy is energy at rest while kinetic energy is energy due to motion

P=U

P=1/2k((-L – x)^2 + (L – x)^2 + 2(-y)^2)

k=elastic constant of the pring system

x,y are the position

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V ( initial ) = 20 m/s
h = 2.30 m
h = v y * t + g t ² / 2
d = v x * t
1 ) At α = 18°:
v y = 20 * sin 18° = 6.18 m/s
v x = 20 * cos 18° = 19.02 m/ s
2.30 = 6.18 t + 4.9 t²
4.9 t² + 6.18 t - 2.30 = 0
After solving the quadratic equation ( a = 4.9, b = 6.18, c = - 2.3 ):
t 1/2 = (- 6.18 +/- √( 6.18² - 4 * 4.9 * (-2.3)) ) / ( 2 * 4.9 )  
t = 0.3 s
d 1 = 19.02 m/s * 0.3 s = 5.706 m
2 ) At  α = 8°:
v y = 20* sin 8° = 2.78 m/s
v x = 20* cos 8° = 19.81 m/s
2.3 = 2.78 t + 4.9 t² 
4.9 t² + 2.78 t - 2.3 = 0
t = 0.46 s
d 2 = 19.81 * 0.46 = 9.113 m
The distance is:
d 2 - d 1 = 9.113 m - 5.706 m = 3.407 m

GOOD LUCK AND HOPE IT HELPS U
6 0
2 years ago
The path of a particle is defined by y = 0.5x2. If the component of its velocity along the x-axis at x = 2 m is vx = 1 m/s, its
Dominik [7]

Answer:

Velocity component along y-axis is 2 m/s.

Explanation:

Given that

y=0.2x^{2}--(1)\\\v_{y}=?\\

Differentiating (1) w.r.to t

\frac{dy}{dt}=\frac{d}{dt}(0.5x^{2})\\\\\frac{dy}{dt}=(0.5)(2x)\frac{dx}{dt}\\\\v_{y}=xv_{x}\\\\At\,x=2 ,\,v_{x}=1\,m/s\\\\v_{y}=2\,m/s

Velocity component along y-axis is 2 m/s.

8 0
2 years ago
A crate with a mass of m = 450 kg rests on the horizontal deck of a ship. The coefficient of static friction between the crate a
Zielflug [23.3K]

Answer:F_{v} =\mu_{k} mg

Magnitude of the force is 2601.9 N

Explanation:

m = 450 kg

coefficient of static friction μs = 0.73

coefficient of kinetic friction is μk = 0.59

The force required to  start crate moving is F_{s} =\mu_{s} mg.

but once crate starts moving the force of friction is reduced  F_{v} =\mu_{k} mg.

Hence  to keep crate moving at constant velocity we have to reduce the  force pushing crate ie F_{v} =\mu_{k} mg.

Then the above pushing force will equal the frictional force due to kinetic friction and constant velocity is possible as  forces are balanced.

Magnitude of the force

F_{v} =\mu_{k} mg\\F_{v} =0.59 \times 450 \times 9.8\\F_{v} =2601.9  N

4 0
2 years ago
Which of the following exhibits parabolic motion? a. a person diving into a pool from a diving board b. a space shuttle orbiting
Crazy boy [7]

Answer: a stone thrown into a lake

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The option that exhibits parabolic motion is a stone that is thrown into a lake.

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To solve this problem we will use the Force equation according to the definition given in Newton's second law. There we have that the Force is equal to

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m_1 = 1500 kg

m_2 = 4000 kg

a = 2.0 m/s^2

Considering that both mass are equal to one, we have that:

F = (m_1+m_2)* a

F = (1500 + 4000)(2.0)

F = 11000 N = 11kN

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7 0
2 years ago
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