Chapter 10: Q.31 (page 257)

A system in which only one particle can move has the potential energy shown in $F I G U R E E X 10.31$ . What is the y-component of the force on the particle at $y = 0.5 m$ and $4 m$ ?

Short Answer

Expert verified

y-component of force at $y = 0.5 m$ = $- 60 N$ .

y-component of force at $y = 4 m$ = $15 N$ .

Step by step solution

Force :

The force exerted on a mass item that causes it to alter velocity.

Explanation :

The equation gives the y-component of force on the potential energy diagram.

$F_{y} = - \frac{d U}{d y}$

Particle's potential energy diagram,

The slope of the potential energy diagram is the y-component of force.

At $y = 0.5 c m$ , the y-component of force(slope) is,

$F_{y = 0.5} = - \frac{(0 - 60) J}{(0 - 1) m} = - 60 (J / m) = - 60 N$

At $y = 4 m$ , the y-component of force(slope) is,

$F_{x = 15} = - \frac{(60 - 0) J}{(1 - 5) m} = 15 (J / m) = 15 N$

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A system in which only one particle can move has the potential energy shown in $F I G U R E E X 10.31$ . What is the y-component of the force on the particle at $y = 0.5 m$ and $4 m$ ?

Short Answer

Step by step solution

Force :

Explanation :

One App. One Place for Learning.

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A system in which only one particle can move has the potential energy shown in FIGUREEX10.31. What is the y-component of the force on the particle at y=0.5mand 4m?

Short Answer

Step by step solution

Force :

Explanation :

One App. One Place for Learning.

Most popular questions from this chapter

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A system in which only one particle can move has the potential energy shown in $F I G U R E E X 10.31$ . What is the y-component of the force on the particle at $y = 0.5 m$ and $4 m$ ?