Question #dead0

1 Answer
A08
Feb 20, 2017

#26.4ms^-1# rounded to one decimal place.

Explanation:

At the top Potential energy of roller coaster car#=mgh#
Kinetic energy at any instant of time #=1/2mv^2#

At the bottom all potential energy gets converted into Kinetic energy of the roller coaster car.

Ignoring friction and using law of Conservation of energy we get
#mgh=1/2mv_max^2#
#=>v_max^2=2gh#
#=>v_max=sqrt(2gh)#

Inserting values we get
#v_max=sqrt(2xx9.81xx35.4)#
#=>v_max=26.4ms^-1# rounded to one decimal place.

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