Suppose that you balance a 6kg ball on the tip of your finger, which has an area of 1 cm^2

Find the pressure on your finger.

The definition of pressure is (force/area).

The force is the weight, M g, in thiswn case.

They probably want the pressure in Newtons/m^2.

6.0 kg*9.8 m/s^2/10^-4 m^2
= ____ N/m^2

Well, that's a pretty unique balancing act you've got going on there! Let's get to the math.

Pressure is defined as force divided by area. In this case, the force is the weight of the ball, which is its mass (6 kg) multiplied by the acceleration due to gravity (9.8 m/s^2). So the force is 6 kg * 9.8 m/s^2 = 58.8 N.

Now, let's convert that fingertip area from cm^2 to m^2. There are 10,000 cm^2 in 1 m^2, so the fingertip area is 1 cm^2 / 10,000 = 0.0001 m^2.

Finally, we can calculate the pressure by dividing the force by the area: 58.8 N / 0.0001 m^2 = 588,000 N/m^2.

So, the pressure on your finger is 588,000 N/m^2. That's quite a load! But hey, at least it gives you a reason to show off your amazing balancing skills, right?

To find the pressure on your finger, you can use the formula:

Pressure = Force / Area

Given that the mass of the ball is 6 kg and the gravitational field strength is approximately 9.8 m/s^2, you can calculate the force exerted by the ball on your finger using the equation:

Force = mass * gravitational field strength

Force = 6 kg * 9.8 m/s^2
Force = 58.8 N

The area of your finger is 1 cm^2, which is equivalent to 0.0001 m^2.

Now you can calculate the pressure:

Pressure = Force / Area
Pressure = 58.8 N / 0.0001 m^2
Pressure = 588,000 N/m^2

Therefore, the pressure on your finger would be approximately 588,000 Pascal (Pa) or N/m^2.

To find the pressure on your finger, you need to divide the force exerted by the ball on your finger by the area of your finger.

First, let's start by finding the force exerted by the ball on your finger. The force can be calculated using Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration due to gravity (g).

The mass of the ball is given as 6 kg, and the acceleration due to gravity (g) is approximately 9.8 m/s^2. Therefore, the force (F) can be calculated as follows:

F = m * g
F = 6 kg * 9.8 m/s^2
F = 58.8 N

Now, to find the pressure, you need to divide the force (F) by the area (A) of your finger. The area is given as 1 cm^2, but pressure is typically measured in pascals (Pa), which are equivalent to N/m^2. Therefore, we need to convert the area from cm^2 to m^2.

Since 1 m = 100 cm, we can convert the area as follows:
A = 1 cm^2 * (1 m / 100 cm)^2
A = 0.0001 m^2

Now, we can calculate the pressure (P) by dividing the force (F) by the area (A):

P = F / A
P = 58.8 N / 0.0001 m^2
P = 588,000 Pa

Therefore, the pressure on your finger is 588,000 pascals (Pa).