A particle moves from the origin to the point x = 3.0 m , y = 27 m along the curve y=ax2−bx, where a = 4.0 m−1 and b = 3.0. It is subject to a force F⃗ =cxyı^+dȷ^, where c = 9.0 N/m2 and d = 19 N .
Calculate the work done by the force.
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N, where x and y are in meters. The particle moves from the origin to a final position having the coordinates x=5 m and y=5 m and shown in the figure above. Calculate the work done by F along (a) OAC, (b) OBC, and (c) OC. (d) Is F a conservative or non-conservative force? Explain?
The figure gives the acceleration of a 4.0 kg particle as an applied force moves it from rest along an x axis from x = 0 to x = 9.0 m. The scale of the figure's vertical axis is set by a_s = 10.0 m/s^2. How much work has the force done on the particle when the particle reaches (a) x = 4.0 m, (b) x = 7.0 m, and (c) x = 9.0 m? What is the particle's speed...
Question 2 A particle moves along a curve given by r(t)-et,t2t> from the point(0,0,0) to the point (1.1.1) under a force given by Fixx.x) - < 2x2, yzyz? > Calculate the work done on the particle by the force. HTME Editor M B 3 x'
The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = x, y, z is F(r) = Kr/|r|3 where K is a constant. Find the work done as the particle moves along a straight line from (5, 0, 0) to (5, 3, 5).
A particle moves along the curve y = x^3/2 such that its distance from the origin, measured along the curve, is given by s = t^3 . Determine the acceleration in vector form when t = 2 seconds. The units are inches and seconds.
A particle moving in the x-y plane is attracted toward the origin by force . Calculate work done when the particle moves from A to B and then C. Use the Cartesian variable method for this problem. We were unable to transcribe this imageB (2a a) A(0.a) C( 20)
A metal bar is in the xy-plane with one end of the bar at the origin. A force F =( 6.39 N )i +( -3.16 N )j is applied to the bar at the point x = 2.29 m, y = 3.19 m.A) What is the position vector r⃗ for the point where the force is applied?Enter the x and y components of the radius vector separated by a comma.*B) What is the magnitude of the torque with respect to...
A force acting on a particle moving in the xy-plane is given by F = (2x3y4i+x2y3j), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00 m and y = 5.00 m as shown in the figure. Calculate the work W = F(r) dr done by F on the particle as it moves along a) The purple path b) The red path
A 4-kg particle moves along the x-axis under the influence of a conservative force. The potential energy is given by U(x) = bx^3 , where b = 8.0 J/m^3 . What is the magnitude of the acceleration of the particle (in m/s2 ) when it is at the point x = 2 m?
1. Suppose an object is subjected to a force F that varies with position: where β 20N/m is a constant. a) The object begins at the origin (x,y) = (0,0) and travels to point P located at (z,y)-(1m,3m): 3m 4m Calculate the work done by F along each of the three possible paths shown in the figure above by the dashed lines. Note that there could be other forces acting on the object in order to ensure the object travels...