Magnitude of force F experienced by a certain object moving with speed v is given by `F = Kv^2` where K is a constant. Find the dimensions of K.

A force F is f=given by F = at + bt^(2) where t is the time , the dimensions of a and b are

If F(x) = k where 'k' is constant then Delta^2f(x)=?

Prove that the constant function f (x)= k, where k is a constant, is continuous

If f(x) = k, a constant, find the value of Deltaf(x) .

The potential energy function for a particle executing linear simple harmonic motion is given by V(x) =kx^2/2, where k is the force constant of the oscillator. For k = 0.5 N ^-1 , the graph of V(x) versus x is shown in Fig. 6.12. Show that a particle of total energy 1 J moving under this potential must ‘turn back’ when it reaches x = ± 2 m.,br>

The rotational K.E. is given by frac(1)(2) I omega^2 . Use this equation to obtain dimension of I.

A partiale of mass m is moving in a circular path of radius r such that its centripetal acceleration is varying with time t as a_c = k^2rt^2, where k is constant. The power delivered to the particle by the forces acting on it is

Find the range of the following functions given by : f(x)=1-|x-2|

The distance x of a particle moving in one dimension, under the action of constant force is related to time t by equation. t = sqrt x + 3 where x in metre and t in second. Find the displacement of the particle when its velicity is zero.

Find the range of the following functions given by : f(x)=3/(2-x^2)