Physics, 02.10.2019 10:30 jake122390

Dimensional analysis can be used to check equation validity because each unit can be treated as an algebraic quantity to verify that the answer has the correct units.

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Its correct that Dimensional analysis can be used to check equation validity because each unit can be treated as an algebraic quantity to verify that the answer has the correct units.

We do this by finding out the dimensions of the quantity on right hand side of the equation and on the left hand side of the equation.

Mainly, the divisions of dimension is done using:
-- Length (represented by L)
-- Time (represented by T)
-- Mass (represented by M)

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

the maxium height is 34m/s

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Dimensional analysis can be used to check equation validity because each unit can be treated as an a...

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