# Answer on Mechanics | Relativity Question for mohamed

Question #22103

A 2.00 × 102 kg iceboat is propelled across the horizontal surface of a frozen lake by the wind. The wind exerts a constant force of 4.00 × 102 N while the boat moves 0.90 km. Assume that frictional forces are negligible and that the boat starts from rest. What is the boat’s final speed?

Expert's answer

The work done by a constant force of magnitude

A = F*d

The law of conservationof energy:

A = T

T - kinetic energy

T = m*v^2/2

F*d = m*v^2/2

v = Sqrt[2*F*d/m] =Sqrt[2*4*102 H *900 m/(2*102 kg) ] = Sqrt[ 4*900 ] = 60 m/s

*F*ona point that moves a distance*d*in the direction of the forceis the product,A = F*d

The law of conservationof energy:

A = T

T - kinetic energy

T = m*v^2/2

F*d = m*v^2/2

v = Sqrt[2*F*d/m] =Sqrt[2*4*102 H *900 m/(2*102 kg) ] = Sqrt[ 4*900 ] = 60 m/s

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