Chapter 6: Q. 50 (page 156)

A baggage handler drops your $10$ kg suitcase onto a conveyor belt running at $2.0$ m/s. The materials are such that $μ_{s} = 0.50$ and . How far is your suitcase dragged before it is riding smoothly on the belt?

Short Answer

Expert verified

$0.68$ m from the position it was dropped

Step by step solution

Step 1. Given information

We have,

The weight of suitcase is $10$ kg

Conveyor belt running with $2.0$ m/s

The materials $μ_{s} = 0.50$

Step 2. Movement in the horizontal plane

Since we only have movement in the horizontal plane, and knowing that the kinetic friction force is the one accelerating the suitcase, we can write:

$μ_{k} m g = m a \Rightarrow a = μ_{k} g$

since the suitcase starts from zero initial velocity and the movement is constantly accelerating (since the accelerating force the kinetic friction one, is constant), we have

$d = \frac{a t^{2}}{2}$

Step 3. Calculate d

Let's rewrite $t$ knowing the first equation of motion and that the initial velocity was zero

$v = v_{0} + a t \Rightarrow t = \frac{v}{a}$

Now we have

$d = \frac{a {(\frac{v}{a})}^{2}}{2} d = \frac{v^{2}}{2 a} d = \frac{v^{2}}{2 μ_{k} g}$

substituting our knowing values

$d = \frac{2^{2}}{2 \cdot 0.3 \cdot 9.8} = 0.68 m$

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A baggage handler drops your $10$ kg suitcase onto a conveyor belt running at $2.0$ m/s. The materials are such that $μ_{s} = 0.50$ and . How far is your suitcase dragged before it is riding smoothly on the belt?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Movement in the horizontal plane

Step 3. Calculate d

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A baggage handler drops your 10kg suitcase onto a conveyor belt running at2.0 m/s. The materials are such that μs=0.50 and . How far is your suitcase dragged before it is riding smoothly on the belt?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Movement in the horizontal plane

Step 3. Calculate d

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism

Waves Physics

Conservation of Energy and Momentum

Rotational Dynamics

Classical Mechanics

Magnetism and Electromagnetic Induction

Study anywhere. Anytime. Across all devices.

A baggage handler drops your $10$ kg suitcase onto a conveyor belt running at $2.0$ m/s. The materials are such that $μ_{s} = 0.50$ and . How far is your suitcase dragged before it is riding smoothly on the belt?