How much work does it take to raise a #6 kg # weight #72 m #?

Question

How much work does it take to raise a #6 kg    # weight #72  m    #?

Emily Abbate · Accepted Answer

#4320# Joules

To find out how much work has been done, use the formula: Work #=# Force #×# Displacement #× cos theta color(blue)(rarr 1)# Here in the mentioned problem, the object weighing #6kg# is raised to a height of #72 m# Here, #6kg# is actually the mass of the object and #72kg# is the displacement. #:. Mass = 6 kg# and #Displacement =72 m color(blue)(rarr 2)# We will take acceleration due to gravity#(g)# to be #10 ms^-2# The force formula is as follows: Force#= Mass × g# #:.#By plugging in values of #Mass# and #g#, we get Force = #6×10# Force =#60# Newtons #color(blue)( rarr 3)# In this problem, we see that the force is also applied in the upward direction and the displacement is also in upward direction. This implies, that the angle between force and displacement is #0^｡# #:. theta = 0^｡ color(blue)(rarr 4)# Plugging in the values of displacement, force and #theta# from #color(blue)(2,3,4)# respectively in #color(blue)(1)#. Work#= 60×72× cos 0# Work#= 4320×1# Work#= 4320# #:.# Work #= 4320# Joules