11. A 2-kg block starts from rest at the top of a 10-m long ramp inclined at 45 deg to the horizontal. The block is released and begins to slide down the ramp. At the bottom of the ramp the block has a speed of 9 m/s. What is the coefficient of friction between the block and the ramp? A) 0.12 B) 0.22 C) 0.32 D) 0.42 E) 0.52 4

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 77PQ: A block of mass m1 = 4.00 kg initially at rest on top of a frictionless, horizontal table is...
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11 please easy way to solve and use this formula sheet please
v2
Circular motion: a =
R
Fnet = ma;
Weight: Fg = mg, ;
g = 9.8 m/s?;
Payr =
At
1
(Kinetic energy: K = –m v²;
2
Potential energy: Ug=mgy
E = Er
E = U+K
v2
Rotational motion:
1 rev = 2n rad;
v = o r;
= 0?r;
at = a r;
a, =
1
K=-lo
2
@ = 00 + at;
0 = 0o t+
2
2θα -ω -ω
=rxF
T= rFsino;
1
Ipoint mass
IgF mR
Στ-Ια;
= mr?
Idisk =
mR
+
%3D
2
2
1
1
2
Iball = =mR?
2
Ishell =
3 MR2
Ihoop = mR?
Irod(center) =
mL?
Irod(end) =
12
mL?
work: W=r0; K=-lo ?
dW
P =
dt
W
Pavr =
At
I= Icom + MD?
W =
2
2
Rolling:
K= lo
2
2
1
m Vcom
Vcom = Ro
T= f,R
F,max = HFn
Incline: F=mgsin0 F=mgcos0
Angular momentum:
Lpoint mass =m rxv
L=mrvsin 0;
L=m (r,Vy - ryVz)k
L= Io
LI= L
I 01 =I 202
m,x1 +m2X2
miy1+m2y2
X com
Y com
m1 +m2
m1 +m2
1
Transcribed Image Text:v2 Circular motion: a = R Fnet = ma; Weight: Fg = mg, ; g = 9.8 m/s?; Payr = At 1 (Kinetic energy: K = –m v²; 2 Potential energy: Ug=mgy E = Er E = U+K v2 Rotational motion: 1 rev = 2n rad; v = o r; = 0?r; at = a r; a, = 1 K=-lo 2 @ = 00 + at; 0 = 0o t+ 2 2θα -ω -ω =rxF T= rFsino; 1 Ipoint mass IgF mR Στ-Ια; = mr? Idisk = mR + %3D 2 2 1 1 2 Iball = =mR? 2 Ishell = 3 MR2 Ihoop = mR? Irod(center) = mL? Irod(end) = 12 mL? work: W=r0; K=-lo ? dW P = dt W Pavr = At I= Icom + MD? W = 2 2 Rolling: K= lo 2 2 1 m Vcom Vcom = Ro T= f,R F,max = HFn Incline: F=mgsin0 F=mgcos0 Angular momentum: Lpoint mass =m rxv L=mrvsin 0; L=m (r,Vy - ryVz)k L= Io LI= L I 01 =I 202 m,x1 +m2X2 miy1+m2y2 X com Y com m1 +m2 m1 +m2 1
B) 9 m/s
C) 16 m/s
D) 25 m/s
E) >25 m/s
11. A 2-kg block starts from rest at the top of a 10-m long ramp inclined at 45 deg to the horizontal. The block is released
and begins to slide down the ramp. At the bottom of the ramp the block has a speed of 9 m/s. What is the coefficient of
friction between the block and the ramp?
A) 0.12
B) 0.22
C) 0.32
D) 0.42
E) 0.52
Transcribed Image Text:B) 9 m/s C) 16 m/s D) 25 m/s E) >25 m/s 11. A 2-kg block starts from rest at the top of a 10-m long ramp inclined at 45 deg to the horizontal. The block is released and begins to slide down the ramp. At the bottom of the ramp the block has a speed of 9 m/s. What is the coefficient of friction between the block and the ramp? A) 0.12 B) 0.22 C) 0.32 D) 0.42 E) 0.52
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