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Chapter 6: Q. 37 (page 155)

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

Short Answer

Expert verified

The velocity att =4sis9m/s.

Step by step solution

01

Given information.

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

02

Calculation.

For velocity at a given time :

v(t)=vo+area under the curve from 0 to 3s.

Area under the curve = Area of the triangle.

=12脳B脳H.

03

Continuation of calculation.

Now,

v(t)=vo+area under the curve from 0 to 3s.=0+12(6N)(3s).=9m/s.

Area between the 3sto4sis zero,

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

04

Final answer.

The object's velocity att =4sis9m/s.

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