Answer:
At which point does the planet have the least gravitational force acting on it?
Explanation:
In an elliptical orbit, when a planet is at its furthest point from the Sun, it is under the least amount of gravity, meaning that the force of gravity is strongest when it is closest.
Acceleration = -12 / 8 = - .... m/s^2
Let
and
be the vectors, and let
be their common magnitude.
The resultant
is
times larger in magnitude than either vector alone, so
.
Recall the dot product identity

where
is the angle between the vectors
and
. In the special case of
, we get

Now, to get the angle between
and
, we have

To compute the dot product, we take the dot product of the resultant with itself.

Solve for
.






Since their dot product is zero,
and
are perpendicular, so
.
Answer:
T = 80√3 N ≈ 139 N
W = 160 N
Explanation:
Sum of forces on B in the x direction:
∑F = ma
80 N sin 60° − T sin 30° = 0
T = 80 N sin 60° / sin 30°
T = 80√3 N
T ≈ 139 N
Sum of forces on B in the y direction:
∑F = ma
80 N cos 60° + T cos 30° − W = 0
W = 80 N cos 60° + T cos 30°
W = 40 N + 120 N
W = 160 N