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