A child rolls a marble on a bent track that is 100 cm long as shown in Figure P2.8. We use x to represent the position of the marble along the track. On the horizontal sections from x = 0 to x = 20 cm and from x = 40 cm to x = 60 cm, the marble rolls with constant speed. On the sloping sections, the marble’s speed changes steadily. At the places where the slope changes, the marble stays on the track and does not undergo any sudden changes in speed. The child gives the marble some initial speed at x = 0 and t = 0 and then watches it roll to x = 90 cm, where it turns around, eventually returning to x = 0 with the same speed with which the child released it. Prepare graphs of x versus t , v x versus t , and a x versus t, vertically aligned with their time axes identical, to show the motion of the marble. You will not be able to place numbers other than zero on the horizontal axis or on the velocity or acceleration axes, but show the correct graph shapes. Figure P2.8
A child rolls a marble on a bent track that is 100 cm long as shown in Figure P2.8. We use x to represent the position of the marble along the track. On the horizontal sections from x = 0 to x = 20 cm and from x = 40 cm to x = 60 cm, the marble rolls with constant speed. On the sloping sections, the marble’s speed changes steadily. At the places where the slope changes, the marble stays on the track and does not undergo any sudden changes in speed. The child gives the marble some initial speed at x = 0 and t = 0 and then watches it roll to x = 90 cm, where it turns around, eventually returning to x = 0 with the same speed with which the child released it. Prepare graphs of x versus t , v x versus t , and a x versus t, vertically aligned with their time axes identical, to show the motion of the marble. You will not be able to place numbers other than zero on the horizontal axis or on the velocity or acceleration axes, but show the correct graph shapes. Figure P2.8
A child rolls a marble on a bent track that is 100 cm long as shown in Figure P2.8. We use x to represent the position of the marble along the track. On the horizontal sections from x = 0 to x = 20 cm and from x = 40 cm to x = 60 cm, the marble rolls with constant speed. On the sloping sections, the marble’s speed changes steadily. At the places where the slope changes, the marble stays on the track and does not undergo any sudden changes in speed. The child gives the marble some initial speed at x = 0 and t = 0 and then watches it roll to x = 90 cm, where it turns around, eventually returning to x = 0 with the same speed with which the child released it. Prepare graphs of x versus t, vx versus t, and ax versus t, vertically aligned with their time axes identical, to show the motion of the marble. You will not be able to place numbers other than zero on the horizontal axis or on the velocity or acceleration axes, but show the correct graph shapes.
you wake up in a strange room, and this time you drop a ball from a height of 1.79 m above the floor. The ball hits the floor 0.242 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?
61.1 m/s^2
30.6 m/s^2
45.9 m/s^2
91.7 m/s^2
The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3
where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the
wheel as a function of time
An aircraft performs a maneuver called an "aileron roll." During this maneuver, the plane turns likea screw as it maintains a straight flight path, which sets the wings in circular motion. If it takes it 35s to complete the circle and the wingspan of the plane is 11 m, what is the acceleration of the wingtip?A) 5.6 m/s2 B) 1.0 m/s2 C) 0.99 m/s2 D) 0.18 m/s2
Chapter 2 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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