Classical Dynamics Of Particles And Systems
5th Edition
ISBN: 9788131518472
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning India
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Chapter 2, Problem 2.21P
To determine
Show that the rate of change of
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A collection of electric charges that share a common magnitude q (lower case) has been placed at the corners of a square, and an additional charge with magnitude Q (upper case) is located at the center of that square. The signs of the charges are indicated explicitly such that
∣∣+q∣∣∣∣+Q∣∣=∣∣−q∣∣==∣∣−Q∣∣=qQ
Four unique setups of charges are displayed. By moving one of the direction drawings from near the bottom to the bucket beside each of the setups, indicate the direction of the net electric force on the charge with magnitude Q, located near the center, else indicate that the magnitude of the net electric force is zero, if appropriate.
A number of electric charges has been placed at distinct points along a line with separations as indicated. Two charges share a common magnitude, q (lower case), and another charge has magnitude Q(upper case). The signs of the charges are indicated explicitly such that
∣∣+q∣∣∣∣+Q∣∣=∣∣−q∣∣==∣∣−Q∣∣=qQ
Four different configurations of charges are shown. For each, express the net electric force on the charge with magnitude Q (upper case) as
F⃗E=FE,xî
where the positive x direction is towards the right. By repositioning the figures to the area on the right, rank the configurations from the most negative value to the most positive value of FE,x.
For each part make sure to include sign to represent direction, with up being positive and down being negative.
A ball is thrown vertically upward with a speed of 30.5 m/s.
A) How high does it rise? y=
B) How long does it take to reach its highest point? t=
C) How long does it take the ball return to its starting point after it reaches its highest point? t=
D) What is its velocity when it returns to the level from which it started? v=
Chapter 2 Solutions
Classical Dynamics Of Particles And Systems
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - If a projectile is fired from the origin of the...Ch. 2 - A clown is juggling four balls simultaneously....Ch. 2 - A jet fighter pilot knows he is able to withstand...Ch. 2 -
In the blizzard of ’88, a rancher was forced to...Ch. 2 - Prob. 2.7PCh. 2 - A projectile is fired with a velocity 0 such that...Ch. 2 - Consider a projectile fired vertically in a...Ch. 2 - Prob. 2.11P
Ch. 2 - A particle is projected vertically upward in a...Ch. 2 -
A particle moves in a medium under the influence...Ch. 2 - A projectile is fired with initial speed 0 at an...Ch. 2 -
A particle of mass m slides down an inclined...Ch. 2 - A particle is projected with an initial velocity 0...Ch. 2 - A strong softball player smacks the ball at a...Ch. 2 - Prob. 2.19PCh. 2 - A gun fires a projectile of mass 10 kg of the type...Ch. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - A skier weighing 90 kg starts from rest down a...Ch. 2 - A block of mass m = 1.62 kg slides down a...Ch. 2 - A child slides a block of mass 2 kg along a slick...Ch. 2 - A rope having a total mass of 0.4 kg and total...Ch. 2 - A superball of mass M and a marble of mass m are...Ch. 2 - An automobile driver traveling down an 8% grade...Ch. 2 - A student drops a water-filled balloon from the...Ch. 2 - Prob. 2.31PCh. 2 - Two blocks of unequal mass are connected by a...Ch. 2 - A particle is released from rest (y = 0) and falls...Ch. 2 - Perform the numerical calculations of Example 2.7...Ch. 2 - Prob. 2.36PCh. 2 - A particle of mass m has speed υ = α/x, where x is...Ch. 2 - The speed of a particle of mass m varies with the...Ch. 2 - A boat with initial speed υ0 is launched on a...Ch. 2 - A train moves along the tracks at a constant speed...Ch. 2 - Prob. 2.42PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Consider a particle moving in the region x > 0...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - According to special relativity, a particle of...Ch. 2 - Let us make the (unrealistic) assumption that a...Ch. 2 - A particle of mass m moving in one dimension has...Ch. 2 - A potato of mass 0.5 kg moves under Earth’s...Ch. 2 - Prob. 2.55P
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- Four point charges of equal magnitude Q = 55 nC are placed on the corners of a rectangle of sides D1 = 27 cm and D2 = 11cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. Use a coordinate system where the positive y-direction is up and the positive x-direction is to the right. A. Which of the following represents a free-body diagram for the charge on the lower left hand corner of the rectangle? B. Calculate the horizontal component of the net force, in newtons, on the charge which lies at the lower left corner of the rectangle.Numeric : A numeric value is expected and not an expression.Fx = __________________________________________NC. Calculate the vertical component of the net force, in newtons, on the charge which lies at the lower left corner of the rectangle.Numeric : A numeric value is expected and not an expression.Fy = __________________________________________ND. Calculate the magnitude of the…arrow_forwardPoint charges q1=50.0μC and q2=-35μC are placed d1=1.0m apart, as shown. A. A third charge, q3=25μC, is positioned somewhere along the line that passes through the first two charges, and the net force on q3 is zero. Which statement best describes the position of this third charge?1) Charge q3 is to the right of charge q2. 2) Charge q3 is between charges q1 and q2. 3) Charge q3 is to the left of charge q1. B. What is the distance, in meters, between charges q1 and q3? (Your response to the previous step may be used to simplify your solution.)Give numeric value.d2 = __________________________________________mC. Select option that correctly describes the change in the net force on charge q3 if the magnitude of its charge is increased.1) The magnitude of the net force on charge q3 would still be zero. 2) The effect depends upon the numeric value of charge q3. 3) The net force on charge q3 would be towards q2. 4) The net force on charge q3 would be towards q1. D. Select option that…arrow_forwardThe magnitude of the force between a pair of point charges is proportional to the product of the magnitudes of their charges and inversely proportional to the square of their separation distance. Four distinct charge-pair arrangements are presented. All charges are multiples of a common positive charge, q. All charge separations are multiples of a common length, L. Rank the four arrangements from smallest to greatest magnitude of the electric force.arrow_forward
- A number of electric charges has been placed at distinct points along a line with separations as indicated. Two charges share a common magnitude, q (lower case), and another charge has magnitude Q (upper case). The signs of the charges are indicated explicitly such that ∣∣+q∣∣∣∣+Q∣∣=∣∣−q∣∣==∣∣−Q∣∣=qQ Four different configurations of charges are shown. For each, express the net electric force on the charge with magnitude Q (upper case) as F⃗E=FE,xî where the positive x direction is towards the right. By repositioning the figures to the area on the right, rank the configurations from the most negative value to the most positive value of FE,x.arrow_forwardA collection of electric charges that share a common magnitude q (lower case) has been placed at the corners of a square, and an additional charge with magnitude Q (upper case) is located at the center of that square. The signs of the charges are indicated explicitly such that ∣∣+q∣∣∣∣+Q∣∣=∣∣−q∣∣==∣∣−Q∣∣=qQ Four unique setups of charges are displayed. By moving one of the direction drawings from near the bottom to the bucket beside each of the setups, indicate the direction of the net electric force on the charge with magnitude Q, located near the center, else indicate that the magnitude of the net electric force is zero, if appropriate.arrow_forwardIn Dark Souls 3 you can kill the Ancient Wyvern by dropping on its head from above it. Let’s say you jump off the ledge with an initial velocity of 3.86 mph and spend 1.72 s in the air before hitting the wyvern’s head. Assume the gravity is the same as that of Earth and upwards is the positive direction. Also, 1 mile = 1609 m. A) How high up is the the ledge you jumped from as measured from the wyvern’s head? B) What is your velocity when you hit the wyvern?arrow_forward
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