1.

As a rock of mass 4 kg drops from the edge of a 40-meter-high cliff, it experiences air resistance, whose average strength during the descent is 20 N. at what speed will the rock hit the ground?

Answer»

8m/s
10m/s
12m/s
20m/s

Solution :Apply conservation of mechanical energy (including the negative work done by `F_(r)`, the force of AIR RESISTANCE).
`K_(i)+U_(i)+W_(r)=K_(f)+U_(f)`
`0+mgh-F_(r)h=(1)/(2)mv^(2)+0`
`v=sqrt((2h(mg-F_(r)))/(m))`
`sqrt((2(40m)[(4kg)(10N//kg)-20N])/(4kg))`
`=sqrt((2(40m)[20N])/(4kg))`
`=sqrt(2(10)(20)(m^(2))/(s^(2)))`
`=20m//s`
Again, `W_("total")=DeltaK` COULD also be used.


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