To haul a boat out of the water for the winter, a worker at the storage facility uses a wide strap with cables operating at the same angle (measured from the horizontal) on either side of the boat. Determine the tension in each cable if the boat has a mass of 510 kg and the angle of each cable is 46 ∘ from the horizontal and the boat is being momentarily held at rest. Compare this to the tension when the boat is raised and held at rest so the angle becomes 31 ∘.

Tension in each cable is 3474 N when angle made by the string with horizontal 46 degree

Tension in each cable is 4852 N when angle made by the string with horizontal 31 degree

Explanation:

In this problem, for the boat to be at rest then tension in the strings must be such that the horizontal components balance each other and the vertical components balance weight of the boat.

Consider horizontal components for equilibrium

If the angle made by the string with horizontal 46 degree

Tension the each  string is same

Consider vertical components for equilibrium

Tension in each cable is 3474 N when angle made by the string with horizontal 46 degree

If the angle made by the string with horizontal 31 degree, then

Tension in each cable is 4852 N when angle made by the string with horizontal 31 degree

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.