Question

Question 7
The potential energy of body of mass M
is U = ax + by where x and y are the
position co-ordinates of the particle. The
acceleration of the particle is
1/2
(1) (a2 + b2,1
m
(2) a2 + b2
m
(3) (a+b)/2
m
(4) a + b/
m​

Answer 1

Answer:

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

Step-by-step explanation:

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