mass of 10 kg is attached to the spring in problem 8. The spring is compressed by 2 cm and is released. When the spring reaches its equilibrium position, what is the speed of the 10-kg mass? A) 1 m/s B) 1.7 m/s C) 2 m/s D) 2.7 m/s E) 3 m/s 3.3 + 1.S

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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9 please by provided formula sheet easy way to explain please
v2
Circular motion: ac =
R
W
Pavr =
At
Fnet = ma;
Weight: Fg= mg, ;
g = 9.8 m/s²;
1
(Kinetic energy: K =
m v²;
Potential energy: Ug=mgy
E = Er
E = U+K
2
v2
Rotational motion:
e = -;
1 rev = 27 rad;
v = o r;
= o'r;
a = a r;
a, =
0 = 0o t+
2
@ = 0o + at;
20a = @? - @o?
K=-lo
T=rxF;
T=rFsino;
1 mR ?
1
Icy= mR2
Στ-Ια;
Ipoințmass = mr2
Idisk =
Ipipe =
mRout
+ Rin
1
2
Ired(end) = mL
2
Ishell =
mR?
Ihoop = mR?
Irod(center) =
-mL²
Ipall =
%3D
mR?
work: W=t0; K=-Io 2
dW
P =
dt
W
Pavr =
At
I= Icom + MD²
W =
2
Rolling:
2 +
1
m Vcom
Vcom = Ro
K=
-Io
T= f,R
F,max = H,Fn
Incline: F=mgsin0 F-mgcoso
Angular momentum:
Lpoint mass
= m rxv
L= mrvsin 0;
L=m (r,vy - ryVx)k
L= Io
LI = Lr
In 01 =I 202
m,X1 +m2X2
mıy1+m2y2
X com
У сom
m1 +m2
m1 +m2
12.25t 2,2 s
14.5
Transcribed Image Text:v2 Circular motion: ac = R W Pavr = At Fnet = ma; Weight: Fg= mg, ; g = 9.8 m/s²; 1 (Kinetic energy: K = m v²; Potential energy: Ug=mgy E = Er E = U+K 2 v2 Rotational motion: e = -; 1 rev = 27 rad; v = o r; = o'r; a = a r; a, = 0 = 0o t+ 2 @ = 0o + at; 20a = @? - @o? K=-lo T=rxF; T=rFsino; 1 mR ? 1 Icy= mR2 Στ-Ια; Ipoințmass = mr2 Idisk = Ipipe = mRout + Rin 1 2 Ired(end) = mL 2 Ishell = mR? Ihoop = mR? Irod(center) = -mL² Ipall = %3D mR? work: W=t0; K=-Io 2 dW P = dt W Pavr = At I= Icom + MD² W = 2 Rolling: 2 + 1 m Vcom Vcom = Ro K= -Io T= f,R F,max = H,Fn Incline: F=mgsin0 F-mgcoso Angular momentum: Lpoint mass = m rxv L= mrvsin 0; L=m (r,vy - ryVx)k L= Io LI = Lr In 01 =I 202 m,X1 +m2X2 mıy1+m2y2 X com У сom m1 +m2 m1 +m2 12.25t 2,2 s 14.5
ven
7. A 2-kg object moving to the right with velocity 5 m/s collides with a 3-kg object which is initially at rest. After the
collision, the 3-kg object has a velocity vector v =i-j. What is the speed of the 2-kg object after the collision?
W. At
A) 0.8 m/s
B) 1.8 m/s
C) 2.8 m/s
D) 3.8 m/s
E) 4.8 m/s
8. Jf 15 J of potential energy are stored in a spring which has been compressed by 2 cm from its relaxed length, how much
force will this spring exert if it is stretched by 4 cm from its relaxed length?
A) 500 N
B) 3000 N
C) 7500 N
D) 75,000 N
E) None of the Above
mass of 10 kg is attached to the spring in problem 8. The spring is compressed by 2 cm and is released. When the
spring reaches its equilibrium position, what is the speed of the 10-kg mass?
A) 1 m/s
B) 1.7 m/s
C) 2 m/s
D) 2.7 m/s
E) 3 m/s
Om
I sp
3.3 + 1.S
10. A toy car is on a small indoor track, which is 100-m in circumference. The car starts from rest, accelerates uniformly,
and after 5 seconds reaches a point halfway around the circle. At this time, what is the magnitude of the car's
acceleration?
A) 4 m/s
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
12.25+ 225
14.5
4
Transcribed Image Text:ven 7. A 2-kg object moving to the right with velocity 5 m/s collides with a 3-kg object which is initially at rest. After the collision, the 3-kg object has a velocity vector v =i-j. What is the speed of the 2-kg object after the collision? W. At A) 0.8 m/s B) 1.8 m/s C) 2.8 m/s D) 3.8 m/s E) 4.8 m/s 8. Jf 15 J of potential energy are stored in a spring which has been compressed by 2 cm from its relaxed length, how much force will this spring exert if it is stretched by 4 cm from its relaxed length? A) 500 N B) 3000 N C) 7500 N D) 75,000 N E) None of the Above mass of 10 kg is attached to the spring in problem 8. The spring is compressed by 2 cm and is released. When the spring reaches its equilibrium position, what is the speed of the 10-kg mass? A) 1 m/s B) 1.7 m/s C) 2 m/s D) 2.7 m/s E) 3 m/s Om I sp 3.3 + 1.S 10. A toy car is on a small indoor track, which is 100-m in circumference. The car starts from rest, accelerates uniformly, and after 5 seconds reaches a point halfway around the circle. At this time, what is the magnitude of the car's acceleration? A) 4 m/s 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 12.25+ 225 14.5 4
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