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A rubber-wheeled 50kg cart rolls down a 15 concrete incline. What is the cart鈥檚 acceleration if rolling friction is

(a) neglected and

(b) included?

Short Answer

Expert verified

a. When the rolling friction in neglected a=2.54m/s2

b. When the rolling friction is includeda=2.35m/s2

Step by step solution

01

Content Introduction

Acceleration, charge at which speed modifications with time, in phrases of each velocity and course. A factor or an item transferring in a immediately line is extended if it hastens or slows down. Motion on a circle is extended even though the velocity is constant, due to the fact the course is usually changing.

02

Explanation (Part a)

The force identification diagram shows:

m=50kgis the mass, sin=15

localid="1648483374914" FGsin()=Fneta=gsin15a=(9.8m/s20.259)a=2.54m/s2

03

Explanation (Part b)

The rolling friction try to oppose the motion of the rubber wheel as it acts opposite to direction of motion. The force identification diagram depicts

FGsin-fr=Fnetfr=rn=rmgcosmgsin-rmgcos15=maa=(9.8m/s20.259)-(0.029.8m/s20.96)=2.35m/s2

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