1. A car is rolling down a ramp that is inclined at and angle of 5.8 degree with

Question

1. A car is rolling down a ramp that is inclined at and angle of 5.8 degree with respect to horizontal. There is no friction acting from the road on the tires.
Employ conservation of mechanical energy to find the speed of a car that starts from rest and rolls down the ramp a distance of 34 m.

2. A car is rolling down a ramp that is inclined at and angle of 6.5 degree with respect to horizontal. There is no friction acting from the road on the tires.

Employ Newton's Law to find the speed of a car that starts from rest and rolls down the ramp a distance of 36 m.

Explanation / Answer

conservation of energy principle

h=S*sin(theta)

S=34m

h=3.435m

at top P.E=at bottom K.E

m*g*3.435=m*v^2/2

so v=8.21 m/s

using newtons law

net force =ma

mgsin(theta)=ma

so a=gsin(theta)

and v^2-u^2=2a*s

v=sqrt(2*a*s)=sqrt(2*gsin(6.5)*36)=8.94 m/s

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