3 years ago

Determine the electrical force of attraction between two balloons

Physics

1 answer:

Deffense [45]3 years ago

8 0

Force = 9x10^9 x (6x10^-7 x 6x 10^-7) / (.5)^2
= 0.013 N

Using the formula;

F = 9x10^9 x (Q1 x Q2) / r^2

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What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is 5.66 0.09 m?

iren2701 [21]

Answer:

4.77 %

Explanation:

We know that the volume V for a sphere of radius r is

$V(r) = \frac{4}{3} \ \pi \ r^3$

If we got an uncertainty $\Delta r$ the formula for the uncertainty of V is:

$\Delta V(r) = \sqrt{ (\frac{dV}{dr} \Delta r)^2 }$

We can calculate this uncertainty, first we obtain the derivative:

$\frac{dV}{dr} = 3 * \frac{4}{3} \ \pi \ r^2$

$\frac{dV}{dr} = 4 \ \pi \ r^2$

And using it in the formula:

$\Delta V(r) = \sqrt{ (4 \ \pi \ r^2\Delta r)^2 }$

$\Delta V(r) = \sqrt{ 4^2 \ \pi^2 \ r^4 \Delta r^2 }$

$\Delta V(r) = 4 \ \pi \ r^2 \Delta r$

The relative uncertainty is:

$\frac{\Delta V(r)}{V(r)}$

$\frac{ 4 \ \pi \ r^2 \Delta r }{ \frac{4}{3} \ \pi \ r^3}$

$\frac{ 3 \Delta r }{ r}$

Using the values for the problem:

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3 years ago

Calculate the Potential Energy of an object that has a mass of 14-kg and is located at a height of 24-m?

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3 years ago

What is the mass of an object if a 30 N force makes it accelerate at 6 m/s2

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Answer:

5 kg

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mass = 30 / 6

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3 years ago