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Chapter 11 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 10th + WebAssign Printed Access Card for Serway/Jewett's Physics for Scientists and Engineers, 10th, Multi-Term
- A narrow uniform rod has length 2a. The linear mass density of the rod of the rod is pl is p, so the mass m of a length Part A A point mass is located a perpendicular distance from the center of the rod. Calculate the magnitude of the force that the rod exerts on the point mass. (Hint: Let the rod be along the y-axis with the center of the rod at the origin, and divide the rod into infinitesimal segments that have length dy and that are located at coordinate y. The mass of the segment is dm = pdy. Write expressions for the I- and y-components of the force on the point mass, and integrate from a to +a to find the components of the total force). Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r. ΠΙΑΣΦ ? F= Submit Request Answer Part B 1+nz+ n(n+1) 2! -2² + ·2³ +... (|z| < 1).) What does your result become for a r? (Hint: Use the power series (1+z)" Express your answer in terms of the gravitational constant G and some or all of…arrow_forwardPlease asaparrow_forwardOne of your summer lunar space camp activities is to launch a 1130 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 217 km. What gain AU in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively. AU = Jarrow_forward
- I am having trouble converting units in my physics 2a class. Here is the problem:arrow_forwardThe star closest to the Sun is called Proxima Centauri. Proxima Centauri has a radius of101,000 km and a mass of 2.45 ×1029 kg. What is the value of g (the free fallacceleration) on the surface of Proxima Centauri?arrow_forwardTwo planets of equal mass orbit a much more massive star. Planet m 1 moves in a circular orbit of radius r 1 = 10^11 m with a period of 2 years (= 6.3 x 10^7 s). Planet m 2 moves in an elliptical orbit with its closes t distance r 1 and its farthest distance r 2 = 1.8 x 10^11 m. a. Find the period of m 2’s orbit. b. The elliptical orbit has greater energy. Which planet has the greater potential energy at point P? Justify. c. Which planet has the greater speed at point P? Justify. d. How does the speed of m 2 at point P compare with the speed at point A? Justify.arrow_forward
- Scientists design a new particle accelerator in which protons with mass m= 1.7x 10^−27 (kg) follow a circular trajectory given by r =ccos(kt^2)i+ csin(kt^2)j where c= 5.0 (m) and k= 8.0 x10^4 (radius/s^2) are constants and t is the elapsed time. a) what is the radius of the circle? b) what is the proton’s speed at t = 3.0 s? c) what is the force on the proton at t = 3.0 s? Give your answer in component form.arrow_forwardOne of your summer lunar space camp activities is to launch a 1170 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 215 km. What gain AU in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 x 1022 kg and 1740 km, respectively. AU = -3.63 x108 J Incorrectarrow_forward3. A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular Motion Experiment worksheet except that we are not going in a full circle. a. Draw the free body diagram of forces acting on the pendulum bob. Include a coordinate system on your diagram showing your choice for the +x and +y directions. b. Write out Newton's 2nd law EF = mã for each direction. X: y: c. What is the tangential acceleration of the pendulum bob? d. Determine the tension of the string. e. What is the magnitude of the total acceleration of the pendulum bob?arrow_forward
- 8. solve the IVP differential equation for v then do b if you can/wantarrow_forwardOSCILLATORY MOTION 9. In Example 2 of Chapter 7 we found that the gravitational force on a mass m inside a spherical earth of uniform density p is F = kr, directed toward the cen- ter, with k = TGpm. (a) For a mass dropped from the surface of the earth down a tunnel straight through the center of the earth, find the time T, to pass entirely through the earth and back again. (b) Compute the speed of the mass m as it passes through the center of the earth. (c) Compare your result for T, with the time 72 required to complete a circular orbit around the globe just above the earth's surface.arrow_forwardAn interesting story is often told of baseball star Johnny Bench when he was a rookie catcher in 1968. During a Spring Training game, he kept signaling to star pitcher Jim Maloney to throw a curve ball. Maloney continuously shook off Bench's signal, opting to throw fastballs instead. The rookie catcher walked to the mound and told the veteran Maloney that his fastball wasn't fast enough and that he should throw some curve balls. Bench again signaled for a curve. Maloney shook of the signal and threw a fastball. Before the ball reached the plate, Bench took off his glove; he then caught the pitch barehanded. Determine the impulse required to stop a 0.145-kg baseball moving at 35.7 m/s (80.0 mi/hr). Answer ______________ If this impulse is delivered to the ball in 0.020 seconds, then what is the force acting between the bare hand and the ball? Answer ______________arrow_forward
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