1. How will the pressure vary if:
a. force is doubled while keeping the area constant?
b. force and area both are tripled?
c. area is doubled while keeping the force constant?
I thought that it is the worst ans
To understand how pressure varies in each scenario, let's first define pressure. Pressure is defined as the force per unit area. In order to calculate pressure, you need to divide the force applied by the area over which the force is distributed.
Now let's examine each scenario individually:
a. If the force is doubled while keeping the area constant:
In this case, we can use the definition of pressure to determine the effect. Since the force is doubled, the numerator in the pressure equation has doubled. However, the denominator (area) is constant. Dividing a larger force by the same area will result in an increase in pressure. So, if the force is doubled while keeping the area constant, the pressure will also double.
b. If both force and area are tripled:
Similar to the previous scenario, we can apply the pressure equation here. Since both the force and area have been tripled, the numerator (force) and denominator (area) are both three times larger. Dividing the larger force by the larger area will result in the same pressure value as before. So, if both force and area are tripled, the pressure will remain unchanged.
c. If the area is doubled while keeping the force constant:
Again, we can use the pressure equation to analyze this scenario. The force is kept constant, which means the numerator will not change. However, the denominator (area) has doubled. Dividing the constant force by the larger area will result in a smaller pressure value. Therefore, if the area is doubled while keeping the force constant, the pressure will be halved.
To summarize:
a. If the force is doubled while keeping the area constant, the pressure will also double.
b. If both force and area are tripled, the pressure will remain unchanged.
c. If the area is doubled while keeping the force constant, the pressure will be halved.
pressure= force/area
What are you thoughts on the answers?