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3 years ago

Calculate the volume of a 5-g sample of pure gold

Physics

1 answer:

Bond [772]3 years ago

5 0

Answer:

≈ 0.26 cm³

Explanation:

Hi there !

Gold is a metal with a very high density.

The density of gold is higher than that of lead.

Density(gold) = 19300 kg/m³ = 19.3 g/cm³

19.3 g ............ 1 cm³

5 g ..................x cm³

x = 5g×1cm³/19.3g = 0.2590 cm³ ≈ 0.26 cm³

Good luck !

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2 years ago

A particle's position is given by z(t) = −(6.50 m/s2)t2k for t ≥ 0. (Express your answer in vector form.) a. Find the particle's

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Answer:

a) $z'(t) =v(t) = -13t$

Now we can replace the velocity for t=1.75 s

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b) $v_{avg}= \frac{z_f - z_i}{t_f -t_i}$

And we can find the positions for the two times required like this:

$z_f = z(3.0s) = -(6.5 \frac{m}{s^2}) (3.0s)^2=-58.5m$

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And now we can replace and we got:

$V_{avg}= \frac{-58.5 -(-19.906) m}{3-1.75 s}= -30.875 \frac{m}{s}$

Explanation:

The particle position is given by:

$z(t) = -(6.5 \frac{m}{s^2}) t^2, t\geq 0$

Part a

In order to find the velocity we need to take the first derivate for the position function like this:

$z'(t) =v(t) = -13t$

Now we can replace the velocity for t=1.75 s

$v(1.75s) = -13*1.75 =-22.75 \frac{m}{s}$

For t = 3.0 s we have:

$v(3.0s) = -13*3.0 =-39 \frac{m}{s}$

Part b

For this case we can find the average velocity with the following formula:

$v_{avg}= \frac{z_f - z_i}{t_f -t_i}$

And we can find the positions for the two times required like this:

$z_f = z(3.0s) = -(6.5 \frac{m}{s^2}) (3.0s)^2=-58.5m$

$z_i = z(1.75s) = -(6.5 \frac{m}{s^2}) (1.75s)^2=-19.906m$

And now we can replace and we got:

$V_{avg}= \frac{-58.5 -(-19.906) m}{3-1.75 s}= -30.875 \frac{m}{s}$

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hope this helps!!!! GOOD LUCK!!!!

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