plunger a has an area of 54cm and plunger b has an area of 15cm, how much more force can be exerted by plunger b
To determine how much more force can be exerted by plunger B compared to plunger A, we need to consider the concept of pressure.
Pressure is defined as force divided by area. The formula for pressure is:
Pressure = Force / Area
Since we want to find the force, we rearrange the formula to:
Force = Pressure x Area
Let's calculate the force exerted by each plunger using their respective areas:
For plunger A:
Area of plunger A = 54 cm^2
For plunger B:
Area of plunger B = 15 cm^2
Next, we need to know the pressure applied to each plunger. If we assume the pressure is the same for both plungers, we can compare the force they can exert.
Let's say the pressure is P Newtons per square centimeter (N/cm^2).
For plunger A:
Force of plunger A = Pressure x Area of plunger A = P x 54 cm^2
For plunger B:
Force of plunger B = Pressure x Area of plunger B = P x 15 cm^2
To compare the force exerted by plunger B with plunger A, we can subtract the force of plunger A from the force of plunger B:
Force difference = Force of plunger B - Force of plunger A
= P x 15 cm^2 - P x 54 cm^2
We can factor out the common pressure term:
Force difference = P (15 cm^2 - 54 cm^2)
= P x (-39 cm^2)
Therefore, the force difference that can be exerted by plunger B compared to plunger A is given by P multiplied by -39 cm^2. The exact value depends on the pressure applied.