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# Category Archives: Mechanics

## Examples of scalar product and vector product

Kashan asks:

“will you give me min 10 examples 0f scalar product and vector product known at xii level”

I am just strating the list; members please contribute more as comments

**Scalar Product**

- work
**F.s** - Power
**F.v** - Potential energy of a dipole
**P.E**

**Vector Product**

- Torque on a dipole =
**PxE** - Lorentz magnetic force F=q
**vxB** - Torque =
**rxF**

## Learn Integral Calculus from Scratch

Sourav asked:

“Where can I learn integration fundamentals”

Answer:

Just find below one of the best choice for you.

http://www.intmath.com/integration/integration-intro.php

Visit http://www.intmath.com/ for learning the fundamentals of Mathematics

## Stone falling in a well

Sandra asks:

“what is the distance a rock will fall in 5 seconds inside a well bore?”

Ans:

Using

and taking u = 0 (if falling from rest)

and g= 10 m/s^{2}

**S= 125 m**

## A numerical from Projectile motion, friction and more

**Hale asked:**

One side of the roof of a building slopes up at 33.5°. A roofer kicks a round, flat rock that has been thrown onto the roof by a neighborhood child. The rock slides straight up the incline with an initial speed of 15.0 m/s. The coefficient of kinetic friction between the rock and the roof is 0.430. The rock slides 10.0 m up the roof to its peak. It crosses the ridge and goes into free fall, following a parabolic trajectory above the far side of the roof, with negligible air resistance. Determine the maximum height the rock reaches above the point where it was kicked.

**(The question is left for visitors to answer.)**