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The variation of gravitational acceleration g with altitude y is given by:
where R = 6371 km is the radius of the Earth, and g0 = 9.81 m/s2 is the gravitational acceleration at sea level. The change in the gravitational potential energy, ?U, of an object that is raised from the Earth is given by:
Determine the change in the potential energy of a satellite with a mass of 500 kg that is raised from the surface of the Earth to a height of 800 km.
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Chapter 9 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
- A force of 12 N acts on a body of mass 4kg resting on a rough surface (coeffi- cient of friction is 0.2, g = 10 ms 2.) The acceleration of the body in ms-² is 1) 1 2) 0.5 3) 0.25 4) Zeroarrow_forwardA positively charged ball falls vertically along the lines of a uniform electric field. The weight of the ball is larger than the electric force. The air drag force, exerted on the ball, is directly proportional to its speed. The mass and charge of the ball are equal to 0.48 kg and 0.29 C. The magnitude of the electic field is 4.9 V/m. Determine the ratio v1/v2, where v1 and v2 are the speeds of steady (i.e., constant speed) motion when the electric field vector is oriented upwards and downwards, respectively.arrow_forwardA 0.16 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 360 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = 0.080 m and is released from rest. The block then executes simple harmonic motion along the x-axis (horizontal). When the displacement is x = 0.037 m, what is the acceleration of the block?arrow_forward
- 9. From the top of a high clff, a ball is thrown horizontally with initial speed vo. Which of the following graphs best represents the ball's kinetic energy K as a function of time t? (A) o (C) oarrow_forwardbuilding robots for kids to teach them science at an early age. However, there is an excess charge in the toy creating an excess electric field making the toy fail the FCC tests. Since, they know you have taken ECE 106, you are given the task to ascertain the charge distribution. You do careful measurements of the Electric inside and outside the toy and ascertain that the Electric field varies as (as defined on spherical co-ordinates): 13 a 1- r;rarrow_forwardThe position of a particle is given by s=2t^3-40t^2+200t-50 , where s is in meters and t is in seconds. Determine the position, velocity v , and acceleration a when t=2 sec. *arrow_forwardWhat is the force exerted on Q2 by Q1? If Q1 = 3x10-4 C at M(1,2,3) and Q2 = -10-4 C at N(2,0,5) in a vacuum. (Looking for the magnitude only; Do not forget the unit; round off to the 4th decimal place; use the constants in your calculator)arrow_forwardA particle travels along a straight line with a velocity v = (12 – 3²) m/s, where t is in seconds. When t=1 s, the particle is located 10 m to the left of the origin. Determine the acceleration when t=4 s, the displacement from t =0 to t = 10 s, and the distance the particle travels during this time period.arrow_forwardA 2 kg particle moves along the x axis under the influence of a stationary object. The potential energy is given by U(x) = 10.3 (J/m“) x“, where x is in coordinate of the particle. If the particle has a speed of 12.6 m/s when it is at x = 2.8 m, its speed (in m/s) when it is at x= 1 m is:arrow_forwardThe displacement of a particle varies with time (t) as at^2-bt^3. the acceleration of the particle is zero at time O3b/a O a/b O 2a/3b O a/3barrow_forwardA conducting wire is aligned with the z axis. The wire supports a dc current that flows in the negative z direction. Outside the wire, the H field generated by the current is inversely proportional to this coordinate. D a. ф Ob.z OC.R O d.o □e.rarrow_forwardPartII Say you've deployed a robot that can can measure electric field due to specified charge at the specified location with good accuracy. And you got these results from the robot: Electric field due to q1 at point pi is (-64481.0) î + (-8060.0) ĵ Electric field due to q2 at point pi is (-8232.0) î + (10477.0) } Electric field due to q1 at point p2 is (-1334.0) î + (-4002.0) } Electric field due to q2 at point p2 is (-13033.0) i + (–7820.0) Electric field due to q3 at point p2 is (-4868.0) î + (-2164.0) } c) Find the net Electric field at p1. x component of the vector Give your answer up to at least three significance digits. N/C y component of the vector Give your answer up to at least three significance digits. N/C d) Find the magnitude of the force on charge q4 = 17 nClocated p1. Is it an attractive force or repulsive force? Explain briefly. Magnitude of the force Give your answer up to at least three significance digits. Narrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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