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Solved: A baggage handler drops your 10 kg suitcase onto a
Chapter 6, Problem 50(choose chapter or problem)
A baggage handler drops your 10 kg suitcase onto a conveyor belt running at 2.0 m/s. The materials are such that \({{\mu }_{s}}=0.50\) and \({{\mu }_{k}}=0.30\). How far is your suitcase dragged before it is riding smoothly on the belt?
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QUESTION:
A baggage handler drops your 10 kg suitcase onto a conveyor belt running at 2.0 m/s. The materials are such that \({{\mu }_{s}}=0.50\) and \({{\mu }_{k}}=0.30\). How far is your suitcase dragged before it is riding smoothly on the belt?
ANSWER:Step 1 of 3
Consider the given data as follows.
A baggage handle’s mass is m =10 kg.
The speed is v = 2.0 m/s.
The coefficient of static friction is \({\mu }_{s}\) = 0.50.
The coefficient of kinetic friction is \({\mu }_{k}\) = 0.30.
The expression of frictional force is given below:
\(f={{\mu }_{k}}N\,\ \ \ .....\ \left( 1 \right)\)
The expression for Newton’s second law is given below:
\( F=ma\ \ \ .....\ \left( 2 \right) \)
The normal force on the suitcase is given below:
N = mg
Here, g is the acceleration due to gravity having a value of \(9.8\ \text{m/}{{\text{s}}^{2}}\).
Substitute the known values in the above equation.
\(N =10\ \text{kg}\times 9.8\ \text{m/}{{\text{s}}^{2}} \)
\(=98\,\text{N} \)