Chapter 6: Q.38 (page 156)

A 5.0 Kg object initially at rest at the origin is subjected to the time-varying force shown below. What is the object’s velocity at $t = 6 s e c .$ ?

Short Answer

Expert verified

The objects velocity is 4 m/s.

Step by step solution

Given information

Mass of object at rest $(m) = 5.0 k g$

time $(t) = 6 s$

Explanation

We know that the expression for velocity is given by

$V = a t (I) w h e r e, V = v e l o c i t y a = a c c e l e r a t i o n t = t i m e$

and According to Newton's second law,

$F = m a S o, a = \frac{F}{m} (I I)$

where,

f= force, m= mass, a= acceleration

Substituting $(I I)$ in $(I)$ we get the formula needed to find the velocity

i.e.

$V = \frac{F}{m} \times t (I I I)$

The value $F \times t$ can be calculated from the given graph triangular area.

(i.e.,) The area of triangle $= F \times t = \frac{1}{2} \times 4 \times 10 = 20 N s$

Now by Substituting the values in the equation ( $I I I$ ), we get

$V = \frac{20}{5 k g} V = 4 m / s$

The object's velocity is $4 m / s$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A 5.0 Kg object initially at rest at the origin is subjected to the time-varying force shown below. What is the object’s velocity at $t = 6 s e c .$ ?

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Force

Scientific Method Physics

Measurements

Energy Physics

Electricity

Study anywhere. Anytime. Across all devices.

A 5.0 Kg object initially at rest at the origin is subjected to the time-varying force shown below. What is the object’s velocity at t=6sec.?

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Force

Scientific Method Physics

Measurements

Energy Physics

Electricity

Study anywhere. Anytime. Across all devices.

A 5.0 Kg object initially at rest at the origin is subjected to the time-varying force shown below. What is the object’s velocity at $t = 6 s e c .$ ?