Name: Emmanuel F. Barlis Section: IJ2 Comparing Kinetic energies Year and Course: 1 st Year-BSMATH Two iceboats hold a race on a frictionless lake. The two iceboats have masses m and 2m. Each iceboat has an identical sail, so the wind exerts the same constant force on each of them. The two ice boats start from rest and cross the finish line a distance s away. Which ice boat crosses the finish line with greater kinetic energy? Solution: Since the force acting on the boats is constant (F) so we can use the equations of motion. Since, F=ma ⇒a=F/m Acceleration of iceboat with (mass m) is, Acceleration of iceboat (mass 2m) is, Final velocity of the boats can be given by the third equation of motion, v² = u²+2as Since initial velocity of both the iceboats is 0(They start from rest), so final velocity is given by Final velocity of iceboat (mass m) is, Final velocity of iceboat (mass 2m) is, Final momentum of iceboat (mass m) is, Final momentum of iceboat (mass 2m) is, Since , Therefore, mass m iceboat crosses the finish line with greater momentum.
