thebestoddly
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

An elevator is moving down with an acceleration of 3.36 m/s2.
What would be the apparent weight of a 64.2-kg man in the elevator?

Sagot :

VirαtKσhli

Answer : 413.44N

Here it is given that an elevator is moving down with an acceleration of 3.36 m/s² . And we are interested in finding out the apparent weight of a 64.2 kg man . For the diagram refer to the attachment .

  • From the elevator's frame ( non inertial frame of reference) , we would have to think of a pseudo force.
  • The direction of this force is opposite to the direction of acceleration the frame and its magnitude is equal to the product of mass of the concerned body with the acceleration of the frame .
  • When a elevator accelerates down , the weight recorded is less than the actual weight .

From the Free body diagram ,

[tex]\sf\longrightarrow Weight = mg - ma \\[/tex]

[tex]\sf\longrightarrow Weight = m ( g - a ) \\[/tex]

  • Mass of the man = 64.2 kg

[tex]\sf\longrightarrow Weight = 64.2( 9.8 - 3.36) N\\[/tex]

[tex]\sf\longrightarrow Weight = 64.2 * 6.44 N\\[/tex]

[tex]\sf\longrightarrow \underline{\boxed{\bf Weight_{apparent}= 413.44 N }} \\[/tex]

View image VirαtKσhli
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.