An ice skater with mass 60 kg comes to rest on a frozen lake, balancing all her weight on a single skate blade that is 3.0 cm long and 0.50 mm wide. Ignore the small area of the other skate.
Assume g = 9.8 m/s².
(a) Determine the magnitude of the force exerted on the ice by the skater.
(b) Convert the contact area of the portion of the blade into square metres.
(c) Calculate the pressure that the blade exerts on the ice, stating your answer in pascals and explaining each step clearly.