A 5.0 kg object initially at rest at the origin is

Chapter 6, Problem 26P

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QUESTION:

A \(5.0 \mathrm{~kg}\) object initially at rest at the origin is subjected to the time-varying force shown in FIGURE P6.26. What is the object's velocity at \(t=6 \mathrm{~s}\)?

                                       

Equation Transcription:

Text Transcription:

5.0 kg

t=6 s

Questions & Answers

QUESTION:

A \(5.0 \mathrm{~kg}\) object initially at rest at the origin is subjected to the time-varying force shown in FIGURE P6.26. What is the object's velocity at \(t=6 \mathrm{~s}\)?

                                       

Equation Transcription:

Text Transcription:

5.0 kg

t=6 s

ANSWER:

Step 1 of 3

Using the given force time graph, we need to calculate the object's velocity at time \(t=6 s\). The mass of the object is given to be \(m=5 \mathrm{~kg}\).

By applying Newton's second law \(\left(F_{x}=m a_{x}\right)\), we can draw acceleration-time graph using the given force time graph, as shown below

                                               \(a_{x}=\frac{F_{z}}{m}\)

Using the above equation, the Acceleration-time graph will be,

                                             

 

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