Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

An astronaut on a planet with no atmosphere drops a feather into a 6.87m deep crater and records that the feather falls freely for 1.32s.What is magnitude of free-fall acceleration on the planet? With what speed does the feather strike the bottom of the crater?

An Astronaut On A Planet With No Atmosphere Drops A Feather Into A 687m Deep Crater And Records That The Feather Falls Freely For 132sWhat Is Magnitude Of Freef class=

Sagot :

The vertical distance covered by freely falling feather is,

[tex]h=ut+\frac{1}{2}at^2[/tex]

Since the feather is falling freely then the initial speed of feather is zero.

Plug in the known values,

[tex]\begin{gathered} 6.87\text{ m=(0 m/s)t+}\frac{1}{2}a(1.32s)^2 \\ a=\frac{2(6.87\text{ m)}}{(1.32s)^2} \\ \approx\text{7}.89m/s^2 \end{gathered}[/tex]

Therefore, the free fall acceleration of the feather is 7.89 m/s2.

The speed of the feather at the bottom of the crater is,

[tex]v=u+at[/tex]

Substitute the known values,

[tex]\begin{gathered} v=0m/s+(7.89m/s^2)(1.32\text{ s)} \\ \approx10.4\text{ m/s} \end{gathered}[/tex]

Therefore, the speed of feather with which it strikes on the bottom of the crater is 10.4 m/s.

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.