Final answer:
The pressure exerted by the skater weighing 600 newtons with a skate blade 30 cm long and 0.5 cm wide is 40000 N/m² when all weight is on one blade.
Step-by-step explanation:
To calculate the pressure that the ice skater exerts on the ice, we need both the force exerted by the skater and the area of contact of the skate blade with the ice. Given that the skater weighs 600 newtons and assuming all this weight is supported by one blade, the area of the blade is the product of its length and width (30 cm long and 0.5 cm wide). The area A in square meters is given by A = (0.5 cm x 30 cm) = 15 cm², which converts to A = 15 x 10⁻´ m². Therefore, the pressure P exerted by one skate blade is calculated using the formula P = F/A, resulting in P = 600 N / (15 x 10⁻´ m²).
The pressure exerted by one blade on the ice is then P = 40000 N/m² (or Pascals). This high pressure is what allows the blade to melt the ice beneath it, reducing friction and allowing the skater to glide swiftly across the ice surface.
To calculate the pressure an ice skater exerts on the ice, we need to calculate the force exerted and the area of the skate blade. Assuming the skater weighs 600 newtons and has a skate blade that is 0.5 cm wide and 30 cm long, the area of the bottom of each blade is A = (0.005 m)(0.3 m) = 0.0015 m². Thus, the pressure exerted on the ice when all the skater's weight is on one blade is:
P = 600 N / 0.0015 m² = 400,000 N/m²