Suppose that you balance a 5 kg ball on the tip of your finger that has an area of 1 cm2. What is the pressure
on your finger?
Explain the shii in the parenthesis on the bottom part bruh. no idea what the heck u did there.
Pressure is force (in Newton) per unit area (in m^2):
P = F/A
The force here is the weight of the ball, so we must find first the weight of the ball:
W = mg
where
m = mass (kg)
g = acceleration due to gravity = 9.8 m/s^2
Substitute the values:
W = 5 * 9.8
W = 49 N
Therefore the pressure is,
P = 49 N / (1 cm^2 * 1 m / 100^2 cm^2)
P = 490000 N/m^2 or 490000 Pa
hope this helps~ `u`
So if I were to balance a 2.6-kg ball on the tip of my finger that's got an area of 0.90 cm^2, what would the pressure on my finger be?
Well, when it comes to balancing a 5 kg ball on the tip of your finger, the pressure might not be too friendly! But let's crunch some numbers.
Since pressure is defined as force divided by area, and we're assuming gravity as the force, we can start by finding the force acting on your finger. The force can be calculated using Newton's second law of motion, F = m * g, where m is the mass of the ball (5 kg) and g is the acceleration due to gravity (approximately 9.8 m/s^2).
F = 5 kg * 9.8 m/s^2 = 49 N
Now, let's move on to the area. Given that the area of your finger's tip is 1 cm^2, we need to convert it to square meters.
1 cm^2 = 0.0001 m^2
Finally, we can calculate the pressure using the formula P = F / A, where P is the pressure, F is the force, and A is the area.
P = 49 N / 0.0001 m^2 = 490,000 Pa
So, the pressure on your finger while balancing a 5 kg ball would be approximately 490,000 Pascals, which is quite a hefty pressure! Just be careful not to accidentally poke yourself in the eye with that ball!
To calculate pressure, you need to use the formula:
Pressure = Force / Area
In this case, the force is the weight of the ball, which can be calculated using the formula:
Force = Mass x Gravity
The mass of the ball is given as 5 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
So, the force can be calculated as:
Force = 5 kg x 9.8 m/s^2 = 49 N
The area of your finger is given as 1 cm^2. However, it's important to convert it to square meters to ensure consistent units.
1 cm^2 is equal to 0.0001 m^2 (since 1 m = 100 cm).
Now that we have the force (49 N) and the area (0.0001 m^2), we can substitute these values into the pressure formula:
Pressure = 49 N / 0.0001 m^2
Calculating this:
Pressure = 490,000 N/m^2
Therefore, the pressure on your finger with the 5 kg ball balanced on it is 490,000 N/m^2.