Chapter 2: Q18P (page 45)
(a) In figure 1.58, what are the components of the vector ?
Short Answer
(a) The component of the vector .
Chapter 2: Q18P (page 45)
(a) In figure 1.58, what are the components of the vector ?
(a) The component of the vector .
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Get started for freeA driver starts from rest on a straight test track that has markers every0.1 Km. The driver press on the accelerator for the entire period of the test holds the car at constant acceleration. The car passes the0.1 Kmpost at 8 sec after starting the test. (a) What was the car’s acceleration? (b) What was the cars speed as it passed the 0.1 Km post? (c) What does the speedometer read at the post? (d) When does the car pass the 0.2 Km post?
Because the change of the momentum is equal to the net impulse, the relationship of momentum itself to the net force is somewhat indirect, as can be seen in this question. An object is initially moving in the + x direction with a magnitude of momentum p, with a net force of magnitude F acting on the object in either the + x or - x direction. After a very short time, say whether the magnitude of the momentum increases, decreases, or stays the same in each of the following situations:
a) the net force acts in the + x direction and F is constant.
b) the net force acts in the + x direction and F is increasing.
c) the net force acts in the + x direction and F is decreasing.
d) the net force acts in the - x direction and F is constant.
e) the net force acts in the - x direction and F is increasing.
f) the net force acts in the - x direction and F is decreasing.
As shown in Figure 19.74, a spherical metal shell of radius has a charge (on its surface) and is surrounded by a concentric spherical metal shell of radius which has a charge (on its inner surface).
(a) Use the definition of capacitance: to find the capacitance of this spherical capacitor.
(b) If the radii of the spherical shells and are large and nearly equal to each other, show that can be written as (which is also the equation for the capacitance of a parallel-plate capacitor) where is the surface area of one of the spheres, and is the small gap distance between them .
(1) Two external forces,(40,70,0)Nand (20,10,0)N, act on a system. What is the net force acting on the system? (2) A hockey puck initially has momentum (0,2,0)kg.m/s. It slides along the ice, gradually slowing down, until it comes to a stop. (a) What was the impulse applied by the ice and the air to the hockey puck? (b) It took 3 seconds for the puck to come to a stop. During this time interval, what was the net force on the puck by the ice and the air (assuming that this force was constant)?
Question: The following questions refer to the circuit shown in Figure 18.114, consisting of two flashlight batteries and two Nichrome wires of different lengths and different thicknesses as shown (corresponding roughly to your own thick and thin Nichrome wires).
The thin wire is 50 cm long, and its diameter is 0.25 mm. The thick wire is 15 cm long, and its diameter is 0.35 mm. (a) The emf of each flashlight battery is 1.5 V. Determine the steady-state electric field inside each Nichrome wire. Remember that in the steady state you must satisfy both the current node rule and energy conservation. These two principles give you two equations for the two unknown fields. (b) The electron mobility
in room-temperature Nichrome is about . Show that it takes an electron 36 min to drift through the two Nichrome wires from location B to location A. (c) On the other hand, about how long did it take to establish the steady state when the circuit was first assembled? Give a very approximate numerical answer, not a precise one. (d) There are about mobile electrons per cubic meter in Nichrome. How many electrons cross the junction between the two wires every second?
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