Why is it harder to breathe on a

If the electric potential in a region is given by v(x)=7/x2 the x component of the electric field in that region is

lions [1.4K]

Hi there!

Recall that:
$\Delta V = -\int\limits^a_b {E \cdot } \, dx$

Given an electric field, the potential difference can be solved by using integration. Similarly:
$E = -\frac{dV}{dx}$

We can differentiate the electric potential equation to solve for the electric field.

Use the power rule:
$\frac{dy}{dx} x^n = nx^{n - 1}$

Differentiate the given equation.

$-\frac{dV}{dx}\frac{7}{x^2} =- \frac{dV}{dx}7x^{-2} = -(-14x^{-3}) = \frac{14}{x^3}$

Or:
$\boxed{E(x) = \frac{14}{x^3}}$

6 0

2 years ago

What is the algebraic expression for the component of the normal force in the vertical direction?

inna [77]

The algebraic expression for the component of the normal force in the vertical direction is Force= product of mass and area.

<h3>What is Force?</h3>

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. Or, there is a specific meaning to the word "force." At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.