An estimate of the minimum velocity required for a round flat stone to skip when it hits the water is given by (Lyderic Bocquet, "The Physics of Stone Skipping," Am. J. Phys., vol. 71, no. 2, February 2003)

where M and dare the stone mass and diameter, Pw is the water density, C is a coefficient, θ is the tilt angle of the stone, β is the incidence angle, and g = 9.81 m/s2. Determine d if V = 0.8 m/s. (Assume that M = 0.1 kg, C = 1, Pw = 1000kg/m3, and β = θ = 10°.)

Transcribed Image Text:

16M 8Mtan2