A constant force F=(-2.8i+3.6k)N acts on an object with a mass of 13kg that moves from r1=(-2i+1.5j+6k)m to a new position r2=(-4j+3k)m. What is the work done by the force

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Patrina SchowalterLv2

14 Sep 2019

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A machine carries a 4 kg package from an initial position ofd_initial=0.5i + 0.75j + 0.2k meters at t=0 to a finalposition of d_final=7.5i + 12j + 7.2k meters. Theconstant force applied by the machine on the package is F=2i + 4j +6k Newtons. For that displacement, find the work done on thepackage by the machines force.

A 13 N force with a fixed orientation does work on a particle as the particle moves through displacement d = (2i - 4j + 3k) m. What is the angle between the force and the displacement if the change in the particle's kinetic energy is (a) +7.00 J and (b) -7.00 J?

(a) Suppose a constant force acts on an object, The force does not vary with time or with the position or the velocity of the object. Start with the general definition for work done by a force:

and show that the force is conservative.

(b) As a special case, suppose the force acts on a particle that moves from O to c in Figure P7.43. Calculate the work done by F on the particle as it moves along each one of the three paths shown in the figure and shows that the work done along the three paths are identical.