Answer:
50.67
Explanation:
L = 4 m

Let the mass of small length dx is dm.
So, dm = ρ(x) dx
Integrate on both the sides within proper limits

![m = \left [ 10x+\frac{4}{3}x^{\frac{3}{2}} \right ]_{0}^{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cleft%20%5B%2010x%2B%5Cfrac%7B4%7D%7B3%7Dx%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%20%5Cright%20%5D_%7B0%7D%5E%7B4%7D)
m = 40 + 32 / 3 = 152 / 3 = 50.67
Answer:

Explanation:
The density of the magnetic flux is given by the following formula:

The normal vector A and the vector of the magnitude of the magnetic field are perpendicular, then, the angle is zero:
The magnitude of the magnetic field is calculated by using the formula for B at a distance of x to a point in the plane of the loop:

For x = 0 you have:

R is the radius of the circular loop and its values is:

Then, you replace in the equation for B with mu_o = 4\pi*10^-7 T/A:

and the density of the magnetic flux is

Answer:
The Momentum Calculator uses the formula p=mv, or momentum (p) is equal to mass (m) times velocity (v). The calculator can use any two of the values to calculate the third.
Explanation:
To solve this problem it is necessary to apply the concepts related to Young's Module and its respective mathematical and modular definitions. In other words, Young's Module can be expressed as

Where,
F = Force/Weight
A = Area
= Compression
= Original Length
According to the values given we have to




Replacing this values at our previous equation we have,



Therefore the Weight of the object is 3.82kN
Here, F = m * a
F = m * v/t
Here, m = 81 Kg
v = 22 m/s
t = 1,4 s
Substitute their values,
F = 81 * 22/1.4
F = 81 * 15.71
F = 1273 N
So, Closest value from your options is 1300 N
In short, Your Answer would be Option B
Hope this helps!