42. A rope with mass m, is attached QC to a block with mass m as in Fig- Sure P5.42. The block rests on a т, ть frictionless, horizontal surface. The rope does not stretch. The free end of the rope is pulled to the right with a horizontal force F. (a) Draw force dia- grams for the rope and the block, noting that the tension in the rope is not uniform. (b) Find the acceleration of the system in terms of m, m, and F. (c) Find the magnitude of the force the rope exerts on the block. (d) What happens to the force on the block as the rope's mass approaches zero? What can you state about the tension in a light cord joining a pair of moving objects? Figure P5.42

If a man weighs 850N on the Earth, what would he weigh on Jupiter, where the free-fall acceleration is 25.9 m/s2? A 00-kg object undergoes an acceleration given by = (4.00 î + 9.00 ĵ) m/s2.  Find the resultant force and its magnitude acting on the object.

A 6.49 kg block is at rest on a horizontal surface. Attached to this block is a massless, stretchlessstring. On the other end of the string is a hanging mass (mB). The coefficients of static and kinetic frictionbetween the block and the surface are 0.728 and 0.563, respectively. (a) Find the minimum value of mB that willcause the block to begin to move. (b) What is the acceleration of the block when the hanging mass is equal tothe value found in part (a)? (c) What is the acceleration of the block when the hanging mass is equal to twice thevalue found in part (a)?