The net force on the center of the rope is C. 14 N West
Explanation:
We have two forces acting on the rope:
- The force applied by Jack, 82 N, towards East
- The force applied by Tony, 96 N, towards West
Taking East as positive direction, we can rewrite the two forces as

where the second force is negative since its direction is west.
The two forces act along the same line, so we can calculate their resultant by simply calculating their algebraic sum. Therefore:

And the negative sign tells us that the direction is West.
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Answer:
It refracts when it hits the glass.
Answer with Explanation:
Let rest mass
at point P at distance x from center of the planet, along a line connecting the centers of planet and the moon.
Mass of moon=m
Distance between the center of moon and center of planet=D
Mass of planet=M
We are given that net force on an object will be zero
a.We have to derive an expression for x in terms of m, M and D.
We know that gravitational force=
Distance of P from moon=D-x
=Force applied on rest mass due to m
=Force on rest mass due to mas M
because net force is equal to 0.





Let 
Then, 




b.We have to find the ratio R of the mass of the mass of the planet to the mass of the moon when x=
Net force is zero




Hence, the ratio R of the mass of the planet to the mass of the moon=4:1
Answer:

Explanation:
Velocity of the ship is given as

the direction of the velocity of the ship is making an angle of 11 degree with the current
so we will have two components of the velocity
1) along the direction of the current
2) perpendicular to the direction of the current
so here we know that the component of the ship velocity along the direction of the current is given as



Answer:
7661.06 m/s
Explanation:
R = Radius of Earth = 
h = Distance from the Earth = 420000 m
G = Gravitational constant = 
M = Mass of Earth = 

The orbital speed of the satellite is 7661.06 m/s