The gravitational potential in a region is given by V = (20x + 40y) J/kg. Find out the gravitational field (in newton / kg) at a point having co-ordinates (2, 4). Also find out the magnitude of the gravitational force on a particle of 0.250 kg placed at the point (2, 4).
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
, 
= 5 
N, 
Sol. E x = 
– 
= – (20x + 40y) = – 20
E y = – 
= – 
(20x + 40y) = – 40
= E x 
+ E y 
= – 20 
– 40 
It is independent of co ordinates
Force = 
= m 
= 0.25 { – 20 
– 40 
} = – 5 
– 10 
magnitude of 
= 
= 
N
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