Chapter 6: Q. 37 (page 155)

A $2.0 k g$ object initially at rest at the origin is subjected to the time-varying force shown in the figure. What is the object’s velocity at $t = 4 s$ ?

Short Answer

Expert verified

The velocity at $t = 4 s is 9 m / s .$

Step by step solution

Given information.

Mass (m) = $2 k g,$ time (t) = $4 s$ , force vs. time graph :

Calculation.

For velocity at a given time :

$v (t) = v_{o} + area under the curve from 0 to 3s.$

Area under the curve = Area of the triangle.

$= \frac{1}{2} \times B \times H .$

Continuation of calculation.

Now,

$v (t) = v_{o} + area under the curve from 0 to 3s. = 0 + \frac{1}{2} (6 N) (3 s) . = 9 m / s .$

Area between the $3 s to 4 s$ is zero,

So, $v (t = 4 s) = 9 m / s .$

Final answer.

The object's velocity at $t = 4 s is 9 m / s .$

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A $2.0 k g$ object initially at rest at the origin is subjected to the time-varying force shown in the figure. What is the object’s velocity at $t = 4 s$ ?

Short Answer

Step by step solution

Given information.

Calculation.

Continuation of calculation.

Final answer.

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A2.0kgobject initially at rest at the origin is subjected to the time-varying force shown in the figure. What is the object’s velocity att=4s?

Short Answer

Step by step solution

Given information.

Calculation.

Continuation of calculation.

Final answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

Fluids

Electricity and Magnetism

Classical Mechanics

Modern Physics

Scientific Method Physics

Study anywhere. Anytime. Across all devices.

A $2.0 k g$ object initially at rest at the origin is subjected to the time-varying force shown in the figure. What is the object’s velocity at $t = 4 s$ ?