DᴀʀᴋPᴀʀᴀᴅᴏxidn
Answered

Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Get prompt and accurate answers to your questions from our community of knowledgeable experts.


[tex]\huge \sf༆ \: question \: ༄[/tex]


Need Help with this question ~

A man of mass 50 kg is pulling on a plank of mass 100kg kept on a smooth floor as shown with force of 100 N. If both man and plank move together find the force of friction acting on the man.


Picture is in attachment ~

Thanks for Answering !!​

Texhuge Sf Question TexNeed Help With This Question A Man Of Mass 50 Kg Is Pulling On A Plank Of Mass 100kg Kept On A Smooth Floor As Shown With Force Of 100 N class=

Sagot :

Answer:

The man is standing on the plank then he is pulling the rope towards himself. He pushes forward with the legs so that pushes the plank "rope backwards

So that friction f acts in forward direction the plank.

The tension T in the rope is 100 N

[tex](A)  \frac{100}{3}  N  \: towards \: left[/tex]

the fiction force f newtons.

[tex]Man's \:  F _{net} ⇒T−F=ma[/tex]

[tex]F _{net}  (man)⇒T−F=50a[/tex]

[tex]Plank  Fnet ⇒T+f=ma[/tex]

[tex]F _{net}  ( plank)⇒T+f=lov \: a[/tex]

[tex]As T=100 N[/tex]

[tex]a = \frac{4}{3} {m/s}^{2} [/tex]

[tex]f = \frac{100}{3} \: newton[/tex]

View image Аноним
RainbowPassion120idn

Answer:

  • The mass of man=[tex]50kg[/tex]
  • The mass of plank=[tex]100kg[/tex]

Man applies a force of 100 N,therefore,F=100N.

[tex]m=m_o+m_p[/tex]

  • Substituting the values, we get.

[tex]m = 50 + 100[/tex]

[tex] \implies{m = 150 kg}[/tex]

Now,

We know that F=[tex]100 N[/tex]

  • The formula of the acceleration of system:

[tex] \implies{ \displaystyle{ a = \frac{F}{m} }}[/tex]

[tex] \implies{ \displaystyle{a = \frac{100}{150} }}[/tex]

[tex]\therefore{ \displaystyle{a = \frac{2}{3}m/ {s}^{2} }}[/tex]

Now,let's find the fiction force acting on the man.

[tex]F=m_oa[/tex]

[tex]F=50×\frac{2}{3}[/tex]

[tex]\therefore F=\frac{100}{3} N[/tex]

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.