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# Category Archives: Mechanics

## Examples of scalar product and vector product

“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

1. work F.s
2. Power F.v
3. Potential energy of a dipole P.E

Vector Product

1. Torque on a dipole = PxE
2. Lorentz magnetic force F=qvxB
3. Torque =rxF

## Learn Integral Calculus from Scratch

“Where can I learn integration fundamentals”

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

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

Ans:

Using

$S=ut+\frac{1}{2}at^{2}$
and taking u = 0 (if falling from rest)
and g= 10 m/s2

S= 125 m

## A numerical from Projectile motion, friction and more

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.)

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