First, to be clear on definitions, a conservative field of force is one where the work done between any two fixed points is independent of the path taken; and this is equivalent (at least in Euclidean space) to saying that the work done in any closed loop is zero.
Further, the sum of any two conservative fields is also conservative.
Now take the Earth-Moon system, then we can see quite directly that the gravitational force felt by some satellite being the sum of two conservative fields is also conservative, but can't be central to some fixed point: close to the moon, it's directed towards its centre and close to the earth it's directed to its.
The total potential of any distribution of sources of a conservative potential is itself conservative, but not necessarily central.
Three identical balls are placed on a frictionless
horizontal surface touching each other. They stick to
each other because of adhesive. Another ball of same
radius and mass m is placed over the void created by
the three balls. Find the forces applied by the balls
kept on the floor to each other if the system remains
in equilibrium.
Last Activity: 9 Months ago
A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.
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Last Activity: 9 Months ago
Last Activity: 3 Years ago
Last Activity: 3 Years ago
