Assume the resistive force acting on a speed skater is proportional to the square of theskater’s speed v and is given by f = −kmv2, where k is a constant and m is the skater’smass. The skater crosses the finish line of a straight-line race with speed vi and thenslows down by coasting on his skates. Show that the skater’s speed at any time t aftercrossing the finish line is v(t) = vi/(1 + ktvi).

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A: Given data: The initial speed of both balls, v=15 m/s Height of both balls, h=6 m

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A: From conservation of momentum:

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Q: 2. (a) A motorboat is moving at a speed 10 m/s when its motor shuts and 10 s later the boat slows…

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Q: 62.95 m, g = 9.81 m/sn²) ( υ035 m/sn, α 60', W-10N, Χ W α

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A: A free body diagram for the given problem is shown below The forces acting on the cyclist are…

Q: TEACHER A frictionless plane is 10.0 m long and inclined at 30.0°. A sled starts at the bottom with…

A: Kinematic equations of motion are- 1) v=u+at2) s=ut+12at23) v2=u2+2as where,u is initial velocityv…

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A: initial speed(u)=18 m/s final speed(v)=0 (finally stopped) time(t)=4s

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A: Fx=0⇒ax=0ay=g downward

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A: Basic concept of equation of motion: We always use equation of motions to determine final velocity…

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Q: Find the word done by the force F in moving an object from P to Q. F = 2i - 3j; P(0, 0), Q(3, 6)

A: Given, F = 2i - 3j  P = (0,0) Q = (3,6) The position vector of Q will be r = 3i + 6j

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A: Given : Initial velocity = v0             Restive force Fr = - k v2

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A: Given values:Mass of particle, m = 1.05 kgForce, F = 4t Newton

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A: Retarding force, F = –50 N  Mass of the body, m = 20 kg  Initial velocity of the body, u = 15 m/s…

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: