A 53-kg skier is going down a 30 ° slope. The area of each ski in contact with the snow is 0.12 m2. Determine the pressure that each ski exerts on the snow.
M*g*cos30/(2*0.12 m^2) = 1876 N/m^2
for each ski. Note the total area is 0.24 m^2
To determine the pressure that each ski exerts on the snow, we can use the formula:
Pressure = Force / Area
First, we need to find the force exerted by each ski. This can be calculated using the weight of the skier:
Force = Weight = Mass x Gravity
Given that the mass of the skier is 53 kg, and gravity is approximately 9.8 m/s², we can calculate the force:
Force = 53 kg x 9.8 m/s²
Now, we can calculate the pressure using the formula:
Pressure = Force / Area
Given that the area of each ski is 0.12 m², we can substitute the values:
Pressure = (53 kg x 9.8 m/s²) / 0.12 m²
Now, we can calculate the pressure.
To determine the pressure that each ski exerts on the snow, we can use the formula:
Pressure = Force/Area
First, let's calculate the force exerted by each ski on the snow. The force can be determined using the formula:
Force = Mass * Gravitational acceleration
Given:
Mass of the skier (m) = 53 kg
Gravitational acceleration (g) = 9.8 m/s^2
Force = 53 kg * 9.8 m/s^2 = 519.4 N
Now, let's calculate the pressure by dividing this force by the area of each ski:
Area of each ski (A) = 0.12 m^2
Pressure = Force / Area
Pressure = 519.4 N / 0.12 m^2
Pressure = 4328.3 Pascal (Pa)
Therefore, each ski exerts a pressure of 4328.3 Pa on the snow.