A ceramic tile measuring 50 cm x50cm has been designed to bear a pressure of 40 N/in . Will it with stand a force of 5 N?

Yes the tile can withstand a force 5 N

Explanation:

We'll begin by converting the dimensions from cm to in. This can be obtained as follow:

Dimension = 50 cm x 50cm

Recall

2.54 cm = 1 in

Therefore,

50 cm = 50 cm × 1 in / 2.54 cm

50 cm = 19.685 in

Thus, the dimension becomes:

Dimension = 19.685 in × 19.685 in

Next, we shall determine the area. This can be obtained as follow:

Dimension = 19.685 in × 19.685 in

Area = 19.685 in × 19.685 in

Area = 387.5 in²

Next, we shall determine the force to which the tile can withstand. This can be obtained as follow:

Pressure (P) = 40 N/in²

Area (A) = 387.5 in²

Force (F) =?

P = F/A

40 = F/387.5

Cross multiply

F = 40 × 387.5

F = 15500 N

Thus, the tile can withstand a force up to 15500 N.

Therefore, the answer to the question is:

Yes the tile can withstand a force 5 N

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.

this would be about 43%