6. BONUS PROBLEM (CALCULUS BASED - NON NUMERICAL PROBLEM). Here we are designated to observe a block placed in an inclined plane. A block of mass M slides down a plane of angle 0. We are interested in determining the (a) speed the block after it has descended through height h, assuming that it starts from rest and that the coefficient of friction u is constant. (b) What is the change in the gravitational potential energy at the initial and final points of the block. (c) Find the work done by the friction. Mind you that on part c you have to evaluate the integral. Hint: Draw a free body diagram and use the energy approach. Answers will be labeled all you have to do is to show the procedure on how we arrived at the results. Answer (a) v = M 2(1- u cot0)gh, (b) AU = mgh, and (c) W = -Mg cos 0 µ(x)dx. {

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Chapter14: Nuclear Physics Applications
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6. Can you please THOROUGHLY explain how did you solve this? I need it in step by step format because I'm going to explain it in class. Please help me, thank you

So
FBD 06 Block.
V= 9
Datum
line
*mgsina
N= Mg cot
mg
Mg sing - fx = Ma
UN )
Mg sing - u Mg coso = Ma
a= g(sing- u coso )
g sine (1-ucoto-)
aこ
v²= u? + 2a S
(
S sing=h)
2S= ino
%3D
V= v 28(1-eu coto Jh
in Potential Enegy, AU= U4-U,
= 0-mgh
la
change
4Uニ- Mg h
-ve sign wheu
We assume clatun
line is at final
Poirier.
Work dow by foiction, W= HMg coso . S
Cwhen de= cComd
when u is varying with n
9.
Transcribed Image Text:So FBD 06 Block. V= 9 Datum line *mgsina N= Mg cot mg Mg sing - fx = Ma UN ) Mg sing - u Mg coso = Ma a= g(sing- u coso ) g sine (1-ucoto-) aこ v²= u? + 2a S ( S sing=h) 2S= ino %3D V= v 28(1-eu coto Jh in Potential Enegy, AU= U4-U, = 0-mgh la change 4Uニ- Mg h -ve sign wheu We assume clatun line is at final Poirier. Work dow by foiction, W= HMg coso . S Cwhen de= cComd when u is varying with n 9.
6. BONUS PROBLEM (CALCULUS BASED - NON
NUMERICAL PROBLEM). Here we are designated to observe
a block placed in an inclined plane. A block of mass M slides down
a plane of angle 0. We are interested in determining the (a) speed
the block after it has descended through height h, assuming that it
starts from rest and that the coefficient of friction u is constant. (b)
What is the change in the gravitational potential energy at the
initial and final points of the block. (c) Find the work done by the
friction. Mind you that on part e you have to evaluate the integral.
Hint: Draw a free body diagram and use the energy approach.
Answers will be labeled all you have to do is to show the procedure
on how we arrived at the results. Answer (a) v =
/2(1- µ cot0)gh, (b) AU = mgh, and (c) W = -Mg cose u(x)dx.
M
Transcribed Image Text:6. BONUS PROBLEM (CALCULUS BASED - NON NUMERICAL PROBLEM). Here we are designated to observe a block placed in an inclined plane. A block of mass M slides down a plane of angle 0. We are interested in determining the (a) speed the block after it has descended through height h, assuming that it starts from rest and that the coefficient of friction u is constant. (b) What is the change in the gravitational potential energy at the initial and final points of the block. (c) Find the work done by the friction. Mind you that on part e you have to evaluate the integral. Hint: Draw a free body diagram and use the energy approach. Answers will be labeled all you have to do is to show the procedure on how we arrived at the results. Answer (a) v = /2(1- µ cot0)gh, (b) AU = mgh, and (c) W = -Mg cose u(x)dx. M
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