Answer:

Explanation:
Because it breaks the <u>l</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>m</u><u>o</u><u>m</u><u>e</u><u>n</u><u>t</u><u>s</u><u>.</u>
Answer:
a) v² = G M R³, b) T = 2π /
, c) 
Explanation:
a) The kinetic energy is
K = ½ m v²
to find the velocity let's use Newton's second law
F = m a
acceleration is centripetal
a = v² / R
force is the universal force of attraction
F = G m M / r²
we substitute
G m M R² = m v² R
v² = G M R³
the kinetic energy is
K = ½ m G M R³
b) angular and linear velocity are related
v = w R
w = v / R
w =
w =
the angular velocity is related to the period
w = 2π / T
T = 2π / w
we substitute
T = 2π /
c) the angular moeomto is
L = m v r
L = m RA G M R³ R
L = 
C. The canoe's path will be a diagonal line from northeast to southwest.
Explanation:
We can solve this problem by using vector addition rules.
In fact, we know that:
- The velocity of the canoe has a component in the south direction, due to the velocity of the river which points towards south
- The canoe itself is trying to go from the eastern shore towards the western shore --> this means that the canoe has also a component of the velocity in the west direction
This means that the resultant velocity of the canoe must be in a direction intermediate between the directions of its two components: therefore, in the southwest direction.
Therefore, this means that
C. The canoe's path will be a diagonal line from northeast to southwest.
Learn more about vector addition:
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Weight is the most closely related object to mass.