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Sagot :
Answer:
Explanation:
Let the spring constant of spring A and B be k₁ and k₂ . Mass of box X and Y be m₁ and m₂ .
Force created in spring which is stretched by d is kd where k is spring constant .
At her lab in Orlando, Florida,
k₁ x .0204 m = m₁ g where g is acceleration due to earth's gravity
k₁ = 49 m₁ g
At a research station on the moon
k₁ x .34 x 10⁻² m = m₁ g₁ where g₁ is acceleration due to gravity at moon
k₁ = 294 .11 m₁ g₁
49 m₁ g = 294 .11 m₁ g₁
g = 6.0022 g₁
At a research station on the moon
k₁ x .54 x 10⁻² m = m₂ g₁
k₁ = 185.18 m₂ g₁
294 .11 m₁ g₁ = 185.18 m₂ g₁
1.588 m₁ = m₂
1 )
At her lab in Orlando, Florida,
k₁ x d = m₂ g , where d is the new stretch that is to be calculated .
185.18 m₂ g₁ d =m₂ g
185.18 d g₁ = g
185.18 d g₁ = 6.0022 g₁
d = .03241 m
= 3.24 cm .
2 )
At a research station on the moon
when Block Y is hanging from Spring B
k₂ x .013 = m₂ g₁
k₂ = 76.92 m₂ g₁
At her lab in Orlando, Florida,
Spring B stretch when Block X is hanging from it
k₂ d₁ = m₁ g
76.92 m₂ g₁ d₁ = m₁ g
76.92 m₂ g₁ d₁ = m₁ 6.0022 g₁
76.92 m₂ d₁ = m₁ 6.0022
12.815 x 1.588 m₁ x d₁ = m₁
d₁ = .049 m
= 4.9 cm .
In this exercise we have to use the knowledge of springs to calculate the distance from it, that way:
A)d=3.24 cm
B)d=4.9 cm
So, before starting the calculations, we have to organize the values and put everything in function of a single unknown such as:
[tex]k_1 * 0.34 * 10^{-2} m = m_1 g_1\\ k_1 = 294 .11 m_1 g_1\\49 m_1 g = 294 .11 m_1 g_1\\g = 6.0022 g_1\\k_1 *0 .54 * 10^{-2} m = m_2 g_1\\k_1 = 185.18 m_2 g_1\\294 .11 m_1 g_1 = 185.18 m_2 g_1\\1.588 m_1 = m_2[/tex]
A) By calculating the distance we find that:
[tex]k1_1 * d = m_2 g\\185.18 m_2 g_1 d =m_2 g\\185.18 d g_1 = g\\185.18 d g_1 = 6.0022 g_1\\d = 0.03241 m= 3.24 cm[/tex]
B) So now calculating the distance from the lab to the moon, so:
[tex]k_2* 0.013 = m_2 g_1\\k_2 = 76.92 m_2 g_1\\k_2 d_1 = m_1 g\\76.92 m_2 g_1 d_1 = m_1 g\\76.92 m_2 g_1 d_1 = m_16.0022 g_1\\76.92 m_2 d_1 = m_1 6.0022\\12.815 * 1.588 m_1 * d_1= m_1\\d_1 = 0.049 m = 4.9 cm[/tex]
See more about springs at brainly.com/question/4433395
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