If the angular momentum of a planet is given by .`vec(L) = 5t^(2)hat(i) - 6that(j) + 3hat(k)`. What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum?

Explanation

Angular momentum of a planet `vec(L) = 5t^(2) hat(i)- 6 t hat(j) + 3hat(k)`
Torque experienced by planet `tau = ?`
`tau = (dL)/dt) = d/(dt) (5t^(2) hat(i)- 6 t hat(j) + 3hat(k))`
`tau = 10t hat (i) - 6 hat(j)`.