An airplane starts from rest at the end of a runway and accelerates at a constan

Question

An airplane starts from rest at the end of a runway and accelerates at a constant rate. In the second, the airplane travels 1.11 m. What is the speed of the airplane at the end the second second? 5.55 m/s 4.44 m/s 3.33 m/s 2.22 m/s 1.11 m/s A bicyclist is at a constant speed along a horizontal, straight-line path. The rider throws a ball riding meters above her head ignoring air resistance, straight up to a height a few a where will the ball land? in front of the rider behind the rider in the same hand that threw it in the opposite hand of the one that threw it and the maximum This cannot be determined without knowing the speed of the rider height of the ball A rock is suspended from a string. Barbara accelerates the rock upward with a constant acceleration by pulling on the other end of the string. Which of the following statements concerning the tension T in the string is true (a = acceleration of the rock, W = weight of the rock). T is independent of a The magnitude T = W The magnitude T W The magnitude T decreases as the speed increases If an object at the surface of the Earth has a weight W. what would be the weight of the object if it was transported to the surface of a planer that is one-sixth the mass of Earth and has a radius one third that of Earth? 3W 3W/2 W 4W/3 W/3 At a circus, a down on a motorcycle with a mass M travels along a horizontal track and enters a vertical circle of radius r Which of the following expressions determines the minimum speed that the motorcyde must have at the top of the track to remain in contact with the track? v = squareroot gr v = squareroot 2 gr v = gr v = 2gr v = Mgr A ball at the end of a rope is moving in a vertical circle Point A is a the top of the circle. C is at the bottom Points B and D are exactly halfway between A and C Which one of the following statements concerning the tension in the rope is true? The tension is smallest at point C The tension is smallest at point A The tension is smallest at both points B and D The tension is the same at points A and C The tension is the same at all four points

Explanation / Answer

6)

initial velocity u = 0

after time t = 1 s

from s = u*t + 1/2 * a *t^2

1.11 = 0 + 1/2 * a * (1)^2

a = 2.22 m/s^2

the distance after 2 s is

s = 1/2 * a * t^2

s = 1/2 * 2.22 * (2)^2

s = 4.44 m

to calculate the speed after 2 s we have

v^2 - u^2 = 2 * a * s

v^2 - 0 = 2 * 2.22 * 4.44

final speed v = 4.44 m

Answer--------------(b) 4.44 m/s

7) as the bicyclist moves with constant speed the ball reaches to his again

Answer-------(c) in the same hand that threw it

8)

in this case the net force is given by

T - mg = ma

T = mg + ma

so T > W---------------------Answer(d)

9)

on the earth W = G*M*m/r^2

on other planet W' = G * (M/6) * m / (r/3)^2

W' = 3W/2----------------------Anwer(b)

10)

the velocity is minimum at top that is

v = sqrt(gr)----------------------------Answer(a)

11)

Answer (b) the tension is smallest at point A

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