3 years ago

Write as equation.

Mathematics

1 answer:

Svetach [21]3 years ago

3 0

$\huge\color{red}\boxed{\colorbox{black}{60 = 5+b}}$

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Can someone tell me how do I solve this. how is the result 2.40

liubo4ka [24]

Step-by-step explanation:

<u>Properties used</u>

logₐ a = 1
log aᵇ = b log a
log ab = log a + log b

See the steps below

- log (4*10⁻³) =
- (log 4 + log 10⁻³) = (log 4 ≈ 0.6 rounded)
- (0.6 - 3*log 10) =
- (0.6 - 3*1) =
- (0.6 - 3) =
- (- 2.4) =
2.4

6 0

2 years ago

Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.

vesna_86 [32]

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

$W = \dfrac{1}{2}kx^2$

x = 0.39 - 0.30 = 0.09 m

$5 = \dfrac{1}{2}k\times 0.09^2$

$k = \dfrac{5\times 2}{0.09^2}$

k = 1234.568 N/m

a) work when spring is stretched from 32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

$W = \dfrac{1}{2}k(x_2^2-x_1^2)^2$

$W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2$

W = 0.741 J

b) F = k x

25 = 1234.568 × x

x = 0.0205 m

x = 2.05 cm

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4 years ago

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