Solved: On Planet X, you drop a 25-kg stone from rest and

Chapter 2, Problem 78P

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QUESTION:

On Planet X, you drop a 25-kg stone from rest and measure its speed at various times. Then

you use the data you obtained to construct a graph of its speed 𝑣 as a function of time 𝑡 (Fig. P2.78). From the information in the graph, answer the following questions:

(a) What is 𝘨 on Planet X?

(b) An astronaut drops a piece of equipment from rest out of the landing module, \(3.5 \mathrm{~m}\) above the surface of Planet X. How long will it take this equipment to reach the ground, and how fast will it be moving when it gets there?

(c) How fast would an astronaut have to project

an object straight upward to reach a height of 18.0 m above the release point, and how long would it take to reach that height?

Equation Transcription:

  

Text Transcription:

v

g

3.5 m

Questions & Answers

QUESTION:

On Planet X, you drop a 25-kg stone from rest and measure its speed at various times. Then

you use the data you obtained to construct a graph of its speed 𝑣 as a function of time 𝑡 (Fig. P2.78). From the information in the graph, answer the following questions:

(a) What is 𝘨 on Planet X?

(b) An astronaut drops a piece of equipment from rest out of the landing module, \(3.5 \mathrm{~m}\) above the surface of Planet X. How long will it take this equipment to reach the ground, and how fast will it be moving when it gets there?

(c) How fast would an astronaut have to project

an object straight upward to reach a height of 18.0 m above the release point, and how long would it take to reach that height?

Equation Transcription:

  

Text Transcription:

v

g

3.5 m

ANSWER:

Solution 78P

Step 1 :

Let us consider the the graph given

Considering the data given we have

Mass of the stone  

Distance travelled by equipment along y axis

Final position reached by the object

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