1)A 1480-kg racecar is driving around a circular track of radius 147 m. In the i

Question

1)A 1480-kg racecar is driving around a circular track of radius 147 m. In the instant shown in the figure, the vehicle has a forward speed of 31.1 m/s and is slowing at a rate of 4.65 m/s2. What is the magnitude of the net force acting on the vehicle at this time and the force's direction relative to the velocity?

2)A jet airplane is in level flight. The mass of the airplane is m = 9010 kg. The plane travels at a constant speed around a circular path of radius R = 9.77 miles and makes one revolution every T = 0.129 hours. What is the magnitude of the lift force acting on the plane?At what angle is the airplane banked?

3)In lacrosse, a ball is thrown from a net on the end of stick by rotating the stick and forearm about the elbow. If the angular velocity of the ball about the elbow joint is 27.9 rad / s and the ball is 1.15 m from the elbow joint, what is the velocity of the ball?

Explanation / Answer

given,

mass = 1480 kg

radius = 147 m

speed = 31.1 m/s

acceleration = 4.65 m/s^2

centripetal force = m * v^2 / r

centripetal force = 1480 * 31.1^2 / 147

centripetal force = 9737.896 N

force due to acceleration = 1480 * 4.65

force due to acceleration = 6882 N

net force = sqrt(9737.896^2 + 6882^2)

net force = 11924.28 N

direction = tan^-1(9737.896 / 6882)

force's direction relative to the velocity = 54.75 degree

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