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saw5 [17]
3 years ago
10

If a 2-kg block compresses a spring 800mm from its relaxed state, how much potential energy does the block have due to the sprin

g? Assume the spring constant, k = 25 N/m.
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

8 Joule

Step-by-step explanation:

Mass of block = 2 kg

Displacement = x = 800 mm = 0.8 m

Spring constant = k = 25 N/m

Potential Energy of a spring

Work done = Difference in Potential Energy

Work Done = Δ P.E.

\Rightarrow \Delta\ P.E.=\frac{1}{2}kx^2

⇒P.E. = 0.5×25×0.8²

⇒P.E. = 8 Nm = 8 Joule

Here already the spring constant and displacement is given so the mass will not be used while calculating the potential energy.

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Genrish500 [490]
BBB because it has commas after the right units
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3 years ago
Cómo se escribe cinco millones novecientos veinticinco en número alguien me ayuda plis
Akimi4 [234]

Answer:

5,000,925

Step-by-step explanation:

1 million has 6 zeros after it.

7 0
2 years ago
A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

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5 0
3 years ago
A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away
Tom [10]

Answer:

80 units

Step-by-step explanation:

v = 1/3 bh

v₁ = 1/3 * b * h₁ = 344

v₂ = 1/3 * b * h₂ = 301

v₁ / v₂ = h₁ / h₂ = 344 / 301

h₂ = h₁ - 10

h₁ / (h₁ - 10) = 344 / 301

344 * (h₁ - 10) = 301 * h₁

344* h₁ - 3440 = 301 * h₁

43 * h₁ = 3440

h₁ = 80

4 0
2 years ago
The class president wants to survey the students at the high school about the selection of food offered by the school cafeteria.
lesantik [10]

Answer:

C . Sample : 6 boy and 7 girls

Step-by-step explanation:

Data :

  Boys = 150

  Girls = 175

So ratio between boys and girls

     175/150  = 1.67

So when boy is 6

   6 ×1.667 = 7

5 0
2 years ago
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