A particle in a certain conservative force field has a potential energy given by U=20xyz. The force exerted on it is?
−(20yz)^i−(20xz)^j+(20xyz2)^k
(20yz)^i+(20xz)^j+(20xyz2)^k
−(20yz)^i−(20xz)^j−(20xyz2)^k
(20yz)^i+(20xz)^j−(20xyz2)^k
A
−(20yz)^i−(20xz)^j+(20xyz2)^k
B
−(20yz)^i−(20xz)^j−(20xyz2)^k
C
(20yz)^i+(20xz)^j+(20xyz2)^k
D
(20yz)^i+(20xz)^j−(20xyz2)^k
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Solution
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The correct option is A(20yz)^i+(20xz)^j+(20xyz2)^k
The potential energy function U(x) for a system in which a one - dimensional force F acts on a particle, we can find the force as F(x)=dUdx=dUxdx+dUydx+dUzdx
Apply U=20xyz
=20yzi+20xzj−20xyz2k
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