A boat moves through the water with two forces acting on it. One isa 1500 N forw
ID: 1754324 • Letter: A
Question
A boat moves through the water with two forces acting on it. One isa 1500 N forward push by the water onthe propeller, and the other is an 1300 N resistive force due to the water around thebow. (a) What is the acceleration of the1200 kg boat?1 m/s 2
(b) If it starts from rest, how far will it move in 9.0 s?
2 m
(c) What will its velocity be at the end of that time?
3 m/s
(a) What is the acceleration of the1200 kg boat?
1 m/s 2
(b) If it starts from rest, how far will it move in 9.0 s?
2 m
(c) What will its velocity be at the end of that time?
3 m/s
Explanation / Answer
Let theforces are F1 = 1500 N and F2 = 1300 N mass ofboat is m = 1200 kg ------------------------------------------------------------------------- (a) From the Newtons second law Net force = ma F1- F2 = ma a= ( F1 - F2) / m = 200N / (1200kg) = 0.166 m/s2 (b) From the equation of motion distancetravelled is S = Ut + (1/2)at2 =0 + (1/2)at2 =--------- m (c) Fromthe equation of motion the final velocityis V = U + at = 0 + at = at =1.5 m/s =0 + (1/2)at2 =--------- m (c) Fromthe equation of motion the final velocityis V = U + at = 0 + at = at =1.5 m/sRelated Questions
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