Answer:

Explanation:
Mass: M, Length: L.

The formula that gives center of mass is

In the case of a non-uniform mass density, this formula converts to

where the denominator is the total mass and the nominator is the mass times position of each point on the rod.
We have to integrate the mass density over the total rod in order to find the total mass. Likewise, we have to integrate the center of mass of each point (xσ(x)) over the total rod. And if we divide the integrated center of mass to the total mass, we find the center of mass of the rod:

Here x's are cancelled. Otherwise, the denominator would be zero.

The equilibrant force of the two given forces is 14.14 N.
<h3 /><h3 /><h3>What is equilibrant force?</h3>
- This is a single force that balances other given forces.
The given parameters:
- First force, F₁ = 10 N
- Second force, F₂ = 10 N
- Angle between the forces, θ = 90⁰
The equilibrant force of the two given forces is calculated as follows;

Thus, the equilibrant force of the two given forces is 14.14 N.
Learn more about equilibrant force here: brainly.com/question/8045102
Answer:
1.It helps in trade and business.
2. It helps to perform scientific calculations.
Explanation:
It is given that,
Distance, r = 3.5 m
Electric field due to an infinite wall of charges, E = 125 N/C
We need to find the electric field 1.5 meters from the wall, r' = 1.5 m. Let it is equal to E'. For an infinite wall of charge the electric field is given by :

It is clear that the electric field is inversely proportional to the distance. So,


E' = 291.67 N/C
So, the magnitude of the electric field 1.5 meters from the wall is 291.67 N/C. Hence, this is the required solution.
The question is incomplete, these are the missing parts of the question.
b) What is the baseball's acceleration in g's? (Indicate the direction with the sign of your answer.)
(b) What is the size of the force acting on it?
Answer:
a) -14333.3ms-2
b) -1462.58g
c) 2078N
Explanation:
The acceleration (deceleration) is easily found from from the information provided. Then the acceleration is obtained in terms of g as shown in the solution attached. The force is obtained from F=ma as shown in the image attached. Note the acceleration is negative because the ball was coming to rest. (The ball was caught).