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PHYSICS MCQs
The relative displacement of upper block with respect to lower block is zero. Hence work done on upper block in the frame of lower block will be zero.
The displacement of bad is in opposition of force of gravity , So work is done by lifting force against gravitational force .
The displacement of body is
`vec(AB) = vec (r_B) - vec( r_A)`
= `(3 hat(i) + 2 hat (j) + 5hat(k)) - (2hat (i) + 3hat (j) + 4hat(k))`
= `hat(i) - hat(j) + hat (k)`
`:.` W = `vec(F) * vec(AB)`
= `(2 hat(i) - 4hat(j)) * ( hat(i) - hat(j) + hat(k))`
= 2 - 4 = - 2 joule.
The work done by constant force does no depend upon path followed by body . It depends only upon initial and final position . Hence , (B) is correct .
`because ` w =` vec(F) * vec(s) = vec(N) * vec(s)`
= Ns cos `90^circ = 0`
The work done by constant force is given by
` w = vec(F) * vec(s) = Fs cos theta = Fs cos 0`
= 10 x 2 = 20 joule.
Centripetal force = `(mv^2)/(r) = k/r^2`
`:.` `mv^2 = k/r`
`:.` Kinetic energy is `1/2 mv^2 = (k)/(2r)`
`:.` `F = - (k)/(2r), F = (du)/(dr)`
At infinity , potential energy is zero
`:.` `int_u^0 du = - int _r^oo Fdr`
`:.` `u = - k [ - 1/r]_r^oo = - k/r`
`:.` Total energy = `K.E. + u`
= `(k)/(2r) - k/r = - (k)/(2r)`
A particle of mass m is attached o one end of a string of length `l` while the other end is fixed to a point `h` above the horizontal table , the particle is made to revolve in a circle on the table , so as to make `p` revolution per second. The maximum value of p if the particle is to be in contact with the table will be :