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Naddik [55]
2 years ago
10

A mass is oscillating up and down on a spring. In the above graph of

Physics
1 answer:
melomori [17]2 years ago
5 0

Answer:

<em>Amplitude= 8 m</em>

Explanation:

<u>The Amplitude of a Wave</u>

Sinusoidal Function  refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function and is characterized by the amplitude or the maximum displacement or distance moved by a point on a vibrating body measured from its equilibrium position.

To calculate the amplitude from a graph, we measure the maximum point and the minimum point the wave reaches. Then we subtract both values and divide the result by 2.

The shown wave in the figure has a maximum value of 8 m and a minimum value of -8 m. The distance from the maximum to the minimum is 8-(-8)= 16 m, thus the amplitude is 16/2= 8m.

Amplitude= 8 m

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3 years ago
Two forces F1 and F2 are lifting a heavy bucket vertically upward. The mass of the bucket is 7.5 kg. The magnitude of F2 = 88 N.
Yuliya22 [10]

Answer:

a) W= 73.5 N

b) F₁ = 97.36 N

c) F₁y= 55.84 N

d) ay = 2.60 m/s²

Explanation:

We apply Newton's second law:

∑F = m*a (Formula 1)

∑F : algebraic sum of the forces in Newton (N)

m : mass in kilograms (kg)

a : acceleration in m/s²

Look at the attached graphic

Free body diagram of the bucket

α= 35° : angle that forms F₁ with the x axis

β = 180 -155= 25° :angle that forms F₂ with the x axis

F₂= 88N

m=7.5 kg : mass of the bucket

g= 9.8 m/s² : acceleration due to gravity

a) W: weight of the bucket

W = m*g = 7.5*9.8

W= 73.5 N

b)Equation involving magnitudes of F1. Solve for F1

∑Fx = m *ax          ax: acceleration in x , ax=0 ,

F₁* cosα- F₂*cosβ= 0

F₁* cos35° = F₂*cos25°

F₁ =  (88*cos25°)/( cos35°)

F₁ = 97.36 N

c) F₁y :  the y-component of force vector F₁

F₁y= 97.36* sin35°

F₁y= 55.84 N

d) ay : acceleration in y

∑Fy = m *ay    

F₁* sinα+F₂*sinβ -W= m *ay

97.36* sin35°°+88*sin25° -73.5= 7.5 *ay

19.53 = 7.5 *ay

ay = (19.53) / (7.5)

ay = 2.60 m/s²

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