Explanation:
It is given that,
Mass of the box, m = 100 kg
Left rope makes an angle of 20 degrees with the vertical, and the right rope makes an angle of 40 degrees.
From the attached figure, the x and y component of forces is given by :






Let
and
is the resultant in x and y direction.


As the system is balanced the net force acting on it is 0. So,
.............(1)
..................(2)
On solving equation (1) and (2) we get:
(tension on the left rope)
(tension on the right rope)
So, the tension on the right rope is 1063.36 N. Hence, this is the required solution.
The force of gravity on earth is 9.807 m/s^2 (or meters per second per second).
To determine the force applied, multiply the mass of the package (5.7 kg) by the force of gravity on Earth (9.807 m/s^2).
5.7 x 9.807 = 55.86 N The answer is D.
Note: the actual force is 55.89 Newtons.
Actually the third one is introns, trust me I did the test