21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 22, Problem 4QP
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Assume the helium-neon lasers commonly used in student physics laboratories have power outputs of 0.250 mW.
(a) If such a laser beam is projected onto a circular spot 3.40 mm in diameter, what is its intensity (in watts per meter squared)?
27.5
W/m²
(b) Find the peak magnetic field strength (in teslas).
8.57e-7
X T
(c) Find the peak electric field strength (in volts per meter).
144
V/m
Identify the most likely substance
A 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.
83.33
☑
Your response differs from the correct answer by more than 10%. Double check your calculations. 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.)
2.77
Your response differs from the correct answer by more than 10%. Double check your calculations. mm
(c) Find the horizontal and vertical components of its velocity after it has traveled 6.00 cm horizontally.
5.4e5
V
×
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. I + [6.68e4
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each…
Chapter 22 Solutions
21st Century Astronomy
Ch. 22.1 - Prob. 22.1CYUCh. 22.2 - Prob. 22.2CYUCh. 22.3 - Prob. 22.3CYUCh. 22.4 - Prob. 22.4CYUCh. 22.5 - Prob. 22.5CYUCh. 22 - Prob. 1QPCh. 22 - Prob. 2QPCh. 22 - Prob. 3QPCh. 22 - Prob. 4QPCh. 22 - Prob. 5QP
Ch. 22 - Prob. 6QPCh. 22 - Prob. 7QPCh. 22 - Prob. 8QPCh. 22 - Prob. 9QPCh. 22 - Prob. 10QPCh. 22 - Prob. 11QPCh. 22 - Prob. 12QPCh. 22 - Prob. 13QPCh. 22 - Prob. 14QPCh. 22 - Prob. 15QPCh. 22 - Prob. 16QPCh. 22 - Prob. 17QPCh. 22 - Prob. 18QPCh. 22 - Prob. 19QPCh. 22 - Prob. 20QPCh. 22 - Prob. 21QPCh. 22 - Prob. 22QPCh. 22 - Prob. 24QPCh. 22 - Prob. 28QPCh. 22 - Prob. 29QPCh. 22 - Prob. 31QPCh. 22 - Prob. 32QPCh. 22 - Prob. 33QPCh. 22 - Prob. 34QPCh. 22 - Prob. 35QPCh. 22 - Prob. 36QPCh. 22 - Prob. 37QPCh. 22 - Prob. 38QPCh. 22 - Prob. 39QPCh. 22 - Prob. 40QPCh. 22 - Prob. 41QPCh. 22 - Prob. 42QPCh. 22 - Prob. 43QPCh. 22 - Prob. 44QPCh. 22 - Prob. 45QP
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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…arrow_forwardThe 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 +yarrow_forwardThree 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 ①arrow_forward
- (a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 9.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. (b) Imagine adding electrons to the pin until the negative charge has the very large value 1.00 mC. How many electrons are added for every 109 electrons already present?arrow_forward(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 0 = 4.95°. What is L (in m)? Assume the cords are massless. 0.180 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? 9.60 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. 83.33 Your response differs from the correct answer by more than 10%. Double check your calculations. 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.) 2.77 Your response differs from the correct answer by more than 10%. Double check your calculations. mm (c) Find the horizontal and vertical components of its velocity after it has traveled 6.00 cm horizontally. = 5.4e5 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. I + 6.68e4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step…arrow_forward
- (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
- The figure below shows the electric field lines for two charged particles separated by a small distance. 92 91 (a) Determine the ratio 91/92. 1/3 × This is the correct magnitude for the ratio. (b) What are the signs of q₁ and 92? 91 positive 92 negative ×arrow_forwardPlease help me solve this one more detail, thanksarrow_forwardA dielectric-filled parallel-plate capacitor has plate area A = 20.0 ccm2 , plate separaton d = 10.0 mm and dielectric constant k = 4.00. The capacitor is connected to a battery that creates a constant voltage V = 12.5 V . Throughout the problem, use ϵ0 = 8.85×10−12 C2/N⋅m2 . Find the energy U1 of the dielectric-filled capacitor. The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the energy U2 of the capacitor at the moment when the capacitor is half-filled with the dielectric. The capacitor is now disconnected from the battery, and the dielectric plate is slowly removed the rest of the way out of the capacitor. Find the new energy of the capacitor, U3. In the process of removing the remaining portion of the dielectric from the disconnected capacitor, how much work W is done by the external agent acting on the dielectric?arrow_forward
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