The position of a 2.0 kg mass is given by x = (2t3 ? 3t2)

Chapter 6, Problem 35P

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QUESTION:

Problem 35P

The position of a 2.0 kg mass is given by x = (2t3 − 3t2) m, where t is in seconds. What is the net horizontal force on the mass at (a) t =0 s and (b) t = 1 s?

Questions & Answers

QUESTION:

Problem 35P

The position of a 2.0 kg mass is given by x = (2t3 − 3t2) m, where t is in seconds. What is the net horizontal force on the mass at (a) t =0 s and (b) t = 1 s?

ANSWER:

Step 1 of 3

 

We are required to  calculate the net horizontal force on the 2.0 kg mass.

Given:

Differentiate,

Differentiate again to calculate the acceleration,

Thus,

 

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