Answer:
2.1 s
Explanation:
The motion of the ball is a projectile motion. We know that the horizontal range of the ball is

And that the initial speed of the ball is

at an angle of

So, the horizontal speed of the ball (which is constant during the entire motion) is

And since the horizontal range is 50 m, the time taken for the ball to cover this distance was

which is the time the ball spent in air.
<u>Answer:</u>
No, Changing subscripts is not the step of balancing a chemical equation
<u>Explanation:</u>
In balancing a chemical equation you have to keep one thing in mind that the no of atoms and elements on both sides such as reactant (before reaction) and product( after a reaction) must be equal. Coefficients are added to equal the no of atoms and elements, but we will not change the subscript.
Answer:

Explanation:
To calculate the force we need to use this equation

where L is the total length of the wire
So in this case the small element of current is

Because x is the direction of the current flow.
As is said in the problem B is such that
![\vec{B} = B \hat{j} = 0.62\hat{j} [ T]](https://tex.z-dn.net/?f=%20%5Cvec%7BB%7D%20%3D%20B%20%5Chat%7Bj%7D%20%3D%200.62%5Chat%7Bj%7D%20%5B%20T%5D)
so to use the equation above we first calculate the following cross product:

so the force:
So here we use the fact that B=0 in any point of the x axis that is not
, that means that we only need to do the integration between a very short distant behind the point
and a very short distant after that point, meaning:

so is the same as evaluating
at 
that is:




Answer:
1.0 x 10-14.
Explanation:
We then replace the term on the right side of this equation with a constant known as the water dissociation equilibrium constant, Kw. In pure water, at 25C, the [H3O+] and [OH-] ion concentrations are 1.0 x 10-7 M. The value of Kw at 25C is therefore