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navik [9.2K]
4 years ago
7

A 15.5 kg mass vibrates in simple harmonic motion with a frequency of 9.73 Hz. It has a maximum displacement from equilibrium of

+14.6 cm at time, t = 0.00 s. The displacement from equilibrium of the mass at time, t = 1.25 s is_______?
Physics
1 answer:
algol [13]4 years ago
6 0

Answer:

12.14 cm

Explanation:

mass, m = 15.5 kg

frequency, f = 9.73 Hz

maximum amplitude, A = 14.6 cm

t = 1.25 s

The equation of the simple harmonic motion

y = A Sin ωt

y =  A Sin (2 x π x f x t)

put, t = 1.25 s, A = 14.6 cm, f = 9.73 Hz

y = 14.6 Sin ( 2 x 3.14 x 9.73 x 1.25)

y = 14.6 Sin 76.38

y = 12.14 cm

Thus, the displacement of the particle from the equilibrium position is 12.14 cm.

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An airplane has an effective wing surface area of 19.4 m2 that is generating the lift force. In level flight the air speed over
alexgriva [62]

Answer:

W =23807.68 N

Explanation:

given,

surface area of wing = 19.4 m²

speed over top wing = 67 m/s

speed under wing = 51 m/s

density of air =  1.3 kg/m³

weight of plane

From Bernoulli's principle

P_1 + \dfrac{1}{2}\rho v_1^2 = P_2 + \dfrac{1}{2}\rho_2^2

where 1 and 2 are two different locations at the same geo potential level  

so if we call 1 the lower surface and 2 the upper surface,

we find the pressure differential, P₁ -P₂

\Delta P =\dfrac{1}{2}\rho (v_2^2-v_1^2)

\Delta P =\dfrac{1}{2}\times 1.3 \times (67^2-51^2)

\Delta P =1227.2\ N/m^2

then the force acting on the plane is

F=P A

F=1227.2 x 19.4

F =23807.68 N

weight of the plane

W =23807.68 N

7 0
3 years ago
A 2kg 2 kg object is moving in along the x x -axis under a single conservative force. When the object is at position x=0 x = 0 ,
Luden [163]

Answer:

The particle comes to rest before reaching the position x=4m.

Explanation:

When the object is at x=0m, all of its energy is kinetic energy. Using the equation for kinetic energy yields KE=1/2mv^2=(12)(2)(3)^2=9J. Using the given equation for potential energy when the object is at x=4m yields U=4x^2=4(4)^2=64J. Since the system only has 9J of energy, the object comes to rest before reaching x=4m.

7 0
3 years ago
Which describes a function of the thalamus?
Natalka [10]

Answer:

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Explanation:

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4 0
3 years ago
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3 things microwaves do
larisa86 [58]
Your Answer Is...

Heat up food, defrost food, make popcorn.

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5 0
3 years ago
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A 2-kg ball moving eastward at 3 m/s suddenly collides with and sticks to a 4-kg ball moving northward at 2 m/s. What is the mag
lorasvet [3.4K]

Answer:

p = 10 kg-m/s

Explanation:

Given that,

Mass of ball 1, m₁ = 2 kg

Speed of ball 1, u₁ = 3i m/s (due East)

Mass of ball 2, m₂ = 4 kg

Speed of ball 2, u₂ = 2j m/s (due North)

We need to find the magnitude of the momentum of this system just after the collision. As we have seen that two balls are moving perpendicular to each other.

Momentum of ball 1, p₁ = m₁u₁

p₁ = 2× 3 = 6 kg-m/s (due east)

Momentum of ball 2, p₂ = m₂u₂

p₂ = 4× 2 = 8 kg-m/s (due north)

Net momentum is given by :

p=\sqrt{p_1^2+p_2^2} \\\\p=\sqrt{6^2+8^2} \\\\p=\sqrt{36+64} \\\\p=10\ kg-m/s

So, the magnitude of the momentum of this system just after the collision is 10 kg-m/s.

3 0
3 years ago
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