1.

A block of mass 3 kg slides down an inclined plane of length 6 m and height 4 m. if the force of friction on the block is a constant 16 N as it slides from rest at the top of the incline, what is its speed at the bottom?

Answer»

2m/s
3m/s
4m/s
5m/s

Solution :Apply conservation of mechanical energy (including the negative work done by `F_(P)` the force of sliding friction).
`K_(i)+U_(i)+W_("frict")=K_(F)+U_(f)`
`0+mgh-F_(f)L=(1)/(2)mv^(2)+0`
`v=sqrt((2)/(m)(mgh-F_(f)L))`
`=sqrt((2)/(3)(3xx10xx4-16xx6))`
`=sqrt(16)`
`=4m//s`
NOTE: `W_("total")=DeltaK` could also be used.


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