1. Brutal Car Company Ltd. advertised a B14 Nissan for sale in the Daily Rag for the sum of $20,000.00. Ramrajee Dass called an inquired as to the availability of the vehicle and was told it was available and that an offer would be faxed to her and that she would be required to accept the offer within 48 hours. Ramrajee received the faxed offer and immediately dispatched a faxed acceptance to Brutal Car Company Ltd. Unfortunately, the faxed message rolled out of the machine of Brutal Car Company Ltd. and under the desk of the secretary. Three days later after the faxed offer to Ramrajee, the vehicle was sold to Sokeelal Chutasingh. The faxed acceptance was discovered 7 days after it was sent to Brutal Car Company Ltd. Ramrajee would like to initiate legal proceedings against Brutal Car Company Ltd. for breach of contract and she has come to you for advice. Please advise.

1) Yes

2)

Explanation:

1)

To solve this part, we have to calculate the pressure at the depth of the batyscaphe, and compare it with the maximum pressure that it can withstand.

The pressure exerted by a column of fluid of height h is:

where

is the atmospheric pressure

is the fluid density

is the acceleration due to gravity

h is the height of the column of fluid

Here we have:

is the sea water density

h = 5440 m is the depth at which the bathyscaphe is located

Therefore, the pressure on it is

Since the maximum pressure it can withstand is 60 MPa, then yes, the bathyscaphe can withstand it.

2)

Here we want to find the force exerted on the bathyscaphe.

The relationship between force and pressure on a surface is:

where

p is hte pressure

F is the force

A is the area of the surface

Here we have:

is the pressure exerted

The bathyscaphe has a spherical surface of radius

r = 3 m

So its surface is:

Therefore, we can find the force exerted on it by re-arranging the previous equation: