Question

The potential energy of a body of mass m is
given by U= Px/(x^2)+(b^2), where x is the displacement, b is
a constant, then unit of P will be"
a) watt
b) newton second
c) joule-metre
d) joule​

Answer 1

Explanation:

The force in x direction will be the partial derivative of the −U with respect to y

so F

x

=−

dx

d

(ax+by)=−a+0=−a

The force in y direction will be the partial derivative of the −U with respect to x

so F

y

=−

dy

d

(ax+by)=0−b=−b

The net force will be F=

F

x

2

+F

y

2

=

a

2

+b

2

so the acceleration will be a=

mass

F

=

m

(a

2

+b

2

)

1/2