2 A block of massis placed on a rough horizontal table. A string attached to the block runs horizontally to the edge of the table, passes round a smooth peg, and supports a sphere of mass
attached to its other end. The motion of the block on the table is resisted by a frictional force of magnitude
, where
. The system is initally at rest.
a) Show that when the block and the sphere have each moved a distance, their common speed is given by
b) Show that the total energy lost by the sphere as it falls through the distanceis
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c) Write down an expression for the energy gained by the block as it moves through the distance h use your answer to check the expression for the tension which you found in part (b)
Answer Now I can manage part a:, so
. This is easy enough to rearrange to make
the subject and get the expression in part a).
this leads me to answer in part b
add fractions
but i cant solve the part c can anyone help