Chapter 10: Q.30 (page 257)

A system in which only one particle can move has the potential energy shown in $F I G U R E E X 10.30$ . What is the x-component of the force on the particle at $x = 5, 15,$ and $25 c m$ ?

Short Answer

Expert verified

x-component of force at $x = 5 c m$ = $100 N$ .

x-component of force at $x = 15 c m$ = $0 N$ .

x-component of force at $x = 25 c m$ = $- 50 N$ .

Step by step solution

Force :

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

Explanation :

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

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

Particle's potential energy diagram,

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

At $x = 5 c m$ , the x-component of force(slope) is,

$F_{x = 15} = - \frac{(10 - 0) J}{(0 - 10) c m} = 1 (J / c m) = 100 N (1 J / c m = \frac{1 N - m}{0.01 m} = 100 N)$

At $x = 15 c m$ ,the x-component of force(slope) is,

$F_{x = 15} = - \frac{(0 - 0) J}{(10 - 20) c m} = 0 (J / c m) = 0 N (1 J / c m = \frac{1 N - m}{0.01 m} = 100 N)$

At $x = 25 c m$ ,the x-component of force(slope) is,

$F_{x = 15} = - \frac{(0 - 10) J}{(20 - 40) c m} = - 0.5 (J / c m) = - 50 N (0.5 J / c m = \frac{0.5 N - m}{0.01 m} = 50 N)$

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A system in which only one particle can move has the potential energy shown in $F I G U R E E X 10.30$ . What is the x-component of the force on the particle at $x = 5, 15,$ and $25 c m$ ?

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 FIGUREEX10.30. What is the x-component of the force on the particle at x=5,15,and 25cm?

Short Answer

Step by step solution

Force :

Explanation :

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

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Study anywhere. Anytime. Across all devices.

A system in which only one particle can move has the potential energy shown in $F I G U R E E X 10.30$ . What is the x-component of the force on the particle at $x = 5, 15,$ and $25 c m$ ?