The gravitational potential in a region is given by V = 20 N kg 1 (x + y) (a) - Physics -

Question

The gravitational potential in a region is given by V = 20 N
kg−1 (x + y) (a) Show that the
equation is dimensionally correct (b) Find the gravitational field
at the point (x, y) Leave your answer in terms of
the unit vectors i → ,   j → ,   k → (c)
Calculate the magnitude of the gravitational force on a particle of
mass 500 g placed at the origin

Global Expert · Accepted Answer

(a) V=20 Nkg x+y
GMR=MLT-2M L⇒M-1L3T-2M1L=ML2T-2M⇒ M0L2T-2=M0L2T-2∴LHS=RHS

(b) The gravitational field at the point (x, y)
is given by E→x, y=-20Nkg i^-20 Nkgj^

(c) F→=E→m
=0
5 kg -20 Nkgi^-20 Nkgj^=-10 N i^-10 N j^
∴F→=100+100       =102 N