The force in Newtons on a particle directed along the z-axis is given by F(x)=exp(-(x/5)+9) for x2 0 where z is in meters. The particle is constrained to move along the a-axis. Find the work done in Joules on the particle, W, in moving it from æ = 0 to z =1 using the fact that F = dW/dx. For your reference, 1 Joule = 1 Newton x 1 meter. Part A Express your answer to 3 significant figures. • View Available Hint(s) Hνα ΑΣφ ? Submit Previous Answers Request Answer
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- Satellites When satellites observe Earth, they can scanonly part of Earth’s surface. Some satellites have sensors thatcan measure the angle shown in the figure. Let h representthe satellite’s distance from Earth’s surface, and let r representEarth’s radius. (a) Show that $h=r(\csc \theta-1)$.(b) Find the rate at which $h$ is changing with respect to $\theta$ when$$\theta=30^{\circ} . \text { (Assume } r=4000 \text { miles. })$$Starting at x = -18 m at time t = 0 s, an object takes 18 s to travel 46 m in the +x direction at a constant velocity. On a sheet of paper, make a position vs. time graph of the object's motion. What is its velocity?The position of a particle moving along the x-axis is described by x= t^3-108t in where t is the time in seconds. For the time interval t=0 to t=10s. (a) plot the position, velocity, and acceleration as functions of time; (b) find the displacement of the particle: and (c) determine the distance traveled by the particle.
- As shown in the figure. A plot of potential energy U versus position x of a 2 kg particle that can move along x-axis. The graph has these values U_A=9J, U_C=20J and U_D=24J. The particle is released at position x=5 m with kinetic energy 4 J where the potential energy is U_B=12 j. What is the kinetic energy of the particle at x =3.5 m. Upt ... Uc UAF-- 4 6 7 x (m) A) 8J B none of them C 7J D 7.5JThe position of an object moving along an x axis is given by x = 3t – 412 + , where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t 2 s to t = 4 s? (g) Graph x versus t for 0touch Ņ Ö a 59 || 2:39 pm Document View CIVE210 – STATICS Monday March 30, 2020, 6:30PM (50 mn) Exercise I: 60°1 F. 450 1200 O (in XY plane) X O (in vertical plane) F1 For F1 = 350 N and F2 = 200 N, and 0= 20 degrees and ø= 50 degrees: The magnitude of the resultant FR of the forces F1 and F2, and the angle between the two forces F, and F2, are equal to: ? Helpful Unhelpful77 degrees Ask Expert TutorsExample 2:A particle moving along a straight line is subjected to a deceleration a = (-2v') m/s², where v is in m/s. If it has a velocity v = 8 m/s and a position s = 10 m when 0, determine its velocity and position when t = 4 s. t = %3DQ1/ If an applied force varies with position according to Fx = 3X3 + 2t² +t + 4, where X in meter .How much work is done by this force on an object that moves from x= 5m to x= 10 %3D m? Q2/ A force F = (7 i– 10j)N acts on a particle that a displacement d = (2i+ 3j)m .find the work done by the particle, and the angle between force and displacement? Q3/ A body of mass 200 kg is travelling at speed of Vi=250 m/sec ,with a constant force of 100N for a displacement of 20 m. determine the final speed ofthe body ? Q4/ A body of mass 1 kg move along the Y-axis, its position varied with time according to equation y = 5t7 + 4t5 + 2t3 +t + 2,where y in meter and t in second. find : a- The kinetic energy at any time. b- The power being delivered to the particle at time t. c- The work done on the particle in the internalt=4 sec to t-8 sec. Q5/How much kinetic energy has a 160g cricket ball when it is thrown at a speed of 22m/s? Q6/ A bullet of mass 0.00951 kg is travelling at a speed Vi=343 m/sec.…1. The position of a particle moving along the x-axis is described by x = t – 108t in where t is the time in sec. For the time interval t= 0 to t = 10 s, (a) plot the position, velocity, and acceleration as a function of time (b) find the displacement of the particle and (c) determine the distance traveled by the particle.SHOW THE SOLUTION: One morning, Connie walks from her house to go to a store that is 500 ft, S 40o W from her house. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she is. What is her friend’s location, (magnitude and direction) relative to her house? (Answer: 667.54 ft, 21.79o N of E) From her friend’s location, how far and in what direction should Connie walk to finally get to the store? (Answer: 1133.08 ft, 33.83o S of W)A particle moves along the x axis from x; to xf. Of the following values of the initial and final coordinates, which results in a negative displacement? x = -4m, xf = 2m x₂ = -4m, f =-2 m ○ x₁ = 4m, f = 6 m x₂ = 8 m, f = 4 m x = -4m, f none of these = 4 mA silver dollar is dropped from the top of a building that is 1377 feet tall. Use the position function below for free-falling objects. s(t) = -16t + Vot + so (a) Determine the position and velocity functions for the coin. s(t) = v(t) = (b) Determine the average velocity on the interval [2, 3]. ft/s (c) Find the instantaneous velocities when t = 2 seconds and t = 3 seconds. v(2) = ft/s v(3) = ft/s (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t = (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/sSEE MORE QUESTIONS