[T] The following problems consider the scalar form of Coulomb’s law, which describes the electrostatic force between two point charges, such as elections. It is given by the equation F ( r ) = k e | q 1 q 2 | r 2 where k e is Coulomb's constant, q i are the magnitudes of the charges of the two particles, and r is the distance between the two particles. 170. [T] Determine the value and units of k given that the mass of the rocket on Earth is 3 million kg. (Hint: The distance from the center of Earth to its surface is 6378 km.)
[T] The following problems consider the scalar form of Coulomb’s law, which describes the electrostatic force between two point charges, such as elections. It is given by the equation F ( r ) = k e | q 1 q 2 | r 2 where k e is Coulomb's constant, q i are the magnitudes of the charges of the two particles, and r is the distance between the two particles. 170. [T] Determine the value and units of k given that the mass of the rocket on Earth is 3 million kg. (Hint: The distance from the center of Earth to its surface is 6378 km.)
[T] The following problems consider the scalar form of Coulomb’s law, which describes the electrostatic force between two point charges, such as elections. It is given by the equation
F
(
r
)
=
k
e
|
q
1
q
2
|
r
2
where keis Coulomb's constant,
q
i
are the magnitudes of the charges of the two particles, and r is the distance between the two particles.
170. [T] Determine the value and units of k given that the mass of the rocket on Earth is 3 million kg. (Hint: The distance from the center of Earth to its surface is 6378 km.)
For the scalar function U = (1/r)sin^2(o), determine its directional derivative along the radial direction r^ and then evaluate it at p = (5, π/4, π/2)
Find the gradient of the tangent to S(t): = 5t+7 /+2 at the point where t = −1.
Find a parametrization of the tangent line at the point indicated.
r(t) =〈t2, t4〉, t = −2
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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