21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 2, Problem 5QP
To determine
Which is correct answer.
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(1)
Fm
Fmn
mn
Fm
B
W₁
e
Fmt
W
0
Fit
Wt
0
W
Fit
Fin
n
Fmt
n
As illustrated in Fig.
consider the
person
performing extension/flexion movements of the lower leg
about the knee joint (point O) to investigate the forces and
torques produced by muscles crossing the knee joint. The
setup of the experiment is described in Example
above.
The geometric parameters of the model under investigation,
some of the forces acting on the lower leg and its free-body
diagrams are shown in Figs. and For this system, the
angular displacement, angular velocity, and angular accelera-
tion of the lower leg were computed using data obtained
during the experiment such that at an instant when 0 = 65°,
@ = 4.5 rad/s, and a = 180 rad/s². Furthermore, for this sys-
tem assume that a = 4.0 cm, b = 23 cm, ß = 25°, and the net
torque generated about the knee joint is M₁ = 55 Nm. If the
torque generated about the knee joint by the weight of the lower
leg is Mw 11.5 Nm, determine:
=
The moment arm a of Fm relative to the…
The figure shows a particle that carries a charge of 90 = -2.50 × 106 C. It is moving along the +y
->
axis at a speed of v = 4.79 × 106 m/s. A magnetic field B of magnitude 3.24 × 10-5 T is directed
along the +z axis, and an electric field E of magnitude 127 N/C points along the -x axis.
Determine (a) the magnitude and (b) direction (as an angle within x-y plane with respect to +x-
axis in the range (-180°, 180°]) of the net force that acts on the particle.
+x
+z
AB
90
+y
Three charged particles are located at the corners of an equilateral triangle as shown in the figure below (let q = 1.00 μC, and L = 0.850 m). Calculate the total electric force on the 7.00-μC charge.
magnitude
direction
N
° (counterclockwise from the +x axis)
y
7.00 με
9
L
60.0°
x
-4.00 μC ①
Chapter 2 Solutions
21st Century Astronomy
Ch. 2.1 - Prob. 2.1ACYUCh. 2.1 - Prob. 2.1BCYUCh. 2.2 - Prob. 2.2CYUCh. 2.3 - Prob. 2.3CYUCh. 2.4 - Prob. 2.4CYUCh. 2.5 - Prob. 2.5CYUCh. 2 - Prob. 1QPCh. 2 - Prob. 2QPCh. 2 - Prob. 3QPCh. 2 - Prob. 4QP
Ch. 2 - Prob. 5QPCh. 2 - Prob. 6QPCh. 2 - Prob. 7QPCh. 2 - Prob. 8QPCh. 2 - Prob. 9QPCh. 2 - Prob. 10QPCh. 2 - Prob. 11QPCh. 2 - Prob. 12QPCh. 2 - Prob. 13QPCh. 2 - Prob. 14QPCh. 2 - Prob. 15QPCh. 2 - Prob. 16QPCh. 2 - Prob. 17QPCh. 2 - Prob. 18QPCh. 2 - Prob. 19QPCh. 2 - Prob. 20QPCh. 2 - Prob. 21QPCh. 2 - Prob. 22QPCh. 2 - Prob. 23QPCh. 2 - Prob. 24QPCh. 2 - Prob. 25QPCh. 2 - Prob. 26QPCh. 2 - Prob. 27QPCh. 2 - Prob. 28QPCh. 2 - Prob. 29QPCh. 2 - Prob. 30QPCh. 2 - Prob. 31QPCh. 2 - Prob. 33QPCh. 2 - Prob. 34QPCh. 2 - Prob. 35QPCh. 2 - Prob. 36QPCh. 2 - Prob. 37QPCh. 2 - Prob. 38QPCh. 2 - Prob. 39QPCh. 2 - Prob. 40QPCh. 2 - Prob. 41QPCh. 2 - Prob. 42QPCh. 2 - Prob. 43QPCh. 2 - Prob. 44QPCh. 2 - Prob. 45QP
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- (a) A physics lab instructor is working on a new demonstration. She attaches two identical copper spheres with mass m = 0.180 g to cords of length L as shown in the figure. A Both spheres have the same charge of 6.80 nC, and are in static equilibrium when = 4.95°. What is L (in m)? Assume the cords are massless. 0.150 Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the spheres. Find an equation for the distance between the two spheres in terms of L and 0, and use this expression in your Coulomb force equation. m (b) What If? The charge on both spheres is increased until each cord makes an angle of 0 = 9.90° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case? 13.6 ☑ Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nCarrow_forwardA proton moves at 5.20 x 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 8.40 × 10³ N/C. Ignore any gravitational effects. (a) Find the time interval required for the proton to travel 6.00 cm horizontally. 1.15e-7 ☑ Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. ns (b) Find its vertical displacement during the time interval in which it travels 6.00 cm horizontally. (Indicate direction with the sign of your answer.) 5.33e-3 ☑ Your response is off by a multiple of ten. mm (c) Find the horizontal and vertical components of its velocity after it has traveled 6.00 cm horizontally. | ↑ + jkm/sarrow_forwardA proton moves at 5.20 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 8.40 103 N/C. Ignore any gravitational effects. (a) Find the time interval required for the proton to travel 6.00 cm horizontally. (b) Find its vertical displacement during the time interval in which it travels 6.00 cm horizontally. (Indicate direction with the sign of your answer.)arrow_forward
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