10 Questions
Problem 1: A girl weighing 60 Kg wearing high heel shoes stabilises herself on a single heel. The heel is round with a diameter of 1.5 cm. Calculate the pressure applied by the heel on the horizontal floor?
P = 3.32×10^6 Pa
Problem 2: A tank is filled with water is of upto 1m height. Calculate the pressure exerted on the bottom of the tank. (Acceleration due to Gravity = 9.8 m/s2, Density of water = 1000 kg / m3).
P = 9800 Pascal.
- A tank filled with water of up to 5m height. Calculate the pressure exerted on the bottom of the tank.
(Acceleration due to Gravity = 9.8 m/s2, Density of water = 1000 kg / m3).
P = 1000 × 9.8 × 5mP = 49000 Pascal.
- If the wreckage of the ship that sank in the ocean is 2,800 m under the ocean water. Also, the density of cold saltwater above it is 999 Kg/m3. Then calculate the pressure at that depth?
P = 27412560kg⋅s2
Or P = 27412560 Pa
For a simpler form we can convert it into Mega-Pascal, that is 27.1 MPa
1.) A box has a weight of 120 lbs and the bottom of the box is 12 in2. What is the pressure the box exerts on the floor?
69,000 Pa
2.) A bronze statue weighs 2400Newtons and has a base that is 4 meters by 2 meter. What is the pressure the statue exerts on the floor?
1200 Pa
3.) The base of a box is 12 inches by 10 inches. It weighs 360 pounds. What is the pressure exerted on the floor by the box?
21,000 Pa
What does a car weigh if its tires cover an area of 4 square feet and each tire exerts a pressure of 1000 pounds per square foot on the ground?
71,000N
6.) To pop a balloon you stab it with a pencil. If the area of the pencil tip is .001in2 and the pressure applied by the pencil to the balloon is 10 lbs/ in2, how hard (what force) must you push on the pencil to make the balloon pop?
0.045N
9.) A motorcycle weighs 1500 lbs. If the pressure the tires exert on the road is 150 lbs per square inch what is the area of the tire in contact with the road. (hint: there are two tires)
5 in^2
Study Notes
Pressure Calculations
- Pressure is calculated by dividing the weight or force by the area over which it is applied.
- Units of pressure are typically measured in pascals (Pa) or pounds per square inch (psi).
Problem 1: Girl on High Heel Shoes
- The girl weighing 60 kg applies pressure on the floor through a single heel with a diameter of 1.5 cm.
- The pressure applied by the heel can be calculated using the weight and area of the heel.
Problem 2: Tank with Water
- A tank filled with water up to 1m height exerts pressure on the bottom of the tank.
- The pressure exerted is calculated using the density of water (1000 kg/m3) and the acceleration due to gravity (9.8 m/s2).
- Similarly, a tank filled with water up to 5m height exerts a higher pressure on the bottom due to the increased weight of water.
Problem 3: Wreckage Under Ocean Water
- The wreckage at a depth of 2800m under ocean water exerts pressure due to the weight of the water above it.
- The density of cold saltwater above the wreckage is 999 kg/m3, and the pressure can be calculated using this density and the acceleration due to gravity.
Problems Involving Boxes and Statues
- A box with a weight of 120 lbs and a base area of 12 in2 exerts pressure on the floor.
- A bronze statue with a weight of 2400 N and a base area of 4m x 2m exerts pressure on the floor.
- A box with a base area of 12 inches by 10 inches and a weight of 360 pounds exerts pressure on the floor.
Problems Involving Vehicles and Tires
- A car with tires covering an area of 4 square feet and exerting a pressure of 1000 pounds per square foot on the ground.
- A motorcycle with a weight of 1500 lbs and tires exerting a pressure of 150 lbs per square inch on the road.
Problem with Pencil Tip
- A pencil tip with an area of 0.001 in2 exerts a pressure of 10 lbs/in2 on a balloon.
- The force required to pop the balloon can be calculated by multiplying the pressure by the area of the pencil tip.
Calculate the pressure exerted by a girl weighing 60 Kg wearing high heel shoes with a round heel of 1.5 cm diameter on a horizontal floor. Apply the appropriate physics formula to solve the problem.
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