Acapacitor stores energy u1 when it holds charge q .the same capacitor stores energy u2 when it holds charge 16 q what is the ratio between u2/u1 the answer is 256 why ?

Ratio between U₂/U₁ = 256

Explanation:

Energy stored in a capacitor is given by

where Q is the charge and C is the capacitance.

We have

and

So,

Ratio between U₂/U₁ = 256

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 -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [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.