College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter6: Momentum, Impulse, And Collisions
Section: Chapter Questions
Problem 63AP: A 2.0-g particle moving at 8.0 m/s makes a perfectly elastic head-on collision with a resting 1.0-g...
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13 please using by this formula sheet easy way to explain
v2
Circular motion: a =
R
W
Pavr =
At
Fast = ma;
Weight: F = mg, ;
g = 9.8 m/s²;
1
(Kinetic energy: K = -m v²;
2
Potential energy: Ug = mgy
E = E
E = U+K
Rotational motion:
1 rev = 2n rad;
V = 0r;
= m?r;
at = ar;
a, =
0 = 0o + at;
0 = 0o t+
20a = 0² - mo²
K=-To t =rFsing;
T =rxF;
Στ-Ια;
Ipointmass = mr?
1
Icy=
2 mR 2
Idisk =
mR 2
1
+Rin
Ihoop = mR?
1
Irod(center) =
1
Ired(end) = mL
3
2
Iball = mR?
2
Ishell = mR?
3
12 mL?
work: W=t0; K--lo ?
I= Icom + MD?
P- dW
dt
2
W =
W
Pavr =
At
Rolling:
Veom = Ro
K =
2
m Veom 2
2
T= f,R
F,max = H,Fn
Incline: F=mgsin0 F=mgcos0
Angular momentum;
Lpolnt mass =m rxv
L=mrvsin 0;
L=m (r,vy - ryV,)k
L= Io
LI = Lr
I, 01 =I 202
m,X1+m2X2
X com =
miyi+m2y2
m, +m2
y com =
m1 +m2
Transcribed Image Text:v2 Circular motion: a = R W Pavr = At Fast = ma; Weight: F = mg, ; g = 9.8 m/s²; 1 (Kinetic energy: K = -m v²; 2 Potential energy: Ug = mgy E = E E = U+K Rotational motion: 1 rev = 2n rad; V = 0r; = m?r; at = ar; a, = 0 = 0o + at; 0 = 0o t+ 20a = 0² - mo² K=-To t =rFsing; T =rxF; Στ-Ια; Ipointmass = mr? 1 Icy= 2 mR 2 Idisk = mR 2 1 +Rin Ihoop = mR? 1 Irod(center) = 1 Ired(end) = mL 3 2 Iball = mR? 2 Ishell = mR? 3 12 mL? work: W=t0; K--lo ? I= Icom + MD? P- dW dt 2 W = W Pavr = At Rolling: Veom = Ro K = 2 m Veom 2 2 T= f,R F,max = H,Fn Incline: F=mgsin0 F=mgcos0 Angular momentum; Lpolnt mass =m rxv L=mrvsin 0; L=m (r,vy - ryV,)k L= Io LI = Lr I, 01 =I 202 m,X1+m2X2 X com = miyi+m2y2 m, +m2 y com = m1 +m2
SAMPLE EXAM 3
PHYSICS 111
SPRING 2022
12. A 4-kg ball moving to the right at 12 m/s collides elastically with a 2-kg ball moving to the left at 6 m/s. What are the
speeds of the 4-kg and the 2-kg balls after the collision?
A) 4 m/s and 10 m/s
B) 6 m/s and 12 m/s
C) 12 m/s and 6 m/s
D) 8 m/s and -8 m/s
E) 10 m/s and -4 m/s
13. A 2-kg block is placed at the top of a 5-m high, frictionless ramp and is released from rest. At the bottom of the ramp
the 2-kg block collides with a 1-kg block that is initially at rest. The blocks stick together. What is the velocity of the
blocks after the collision?
A) 3.3 m/s
B) 6.6 m/s
C) 9.9 m/s
D) 10.10 m/s
E) There is not enough information given
14. A potential energy function is given below. At what point would an object experience a force in the positive x
direction?
a
c d
A) a
B) b
С) с
D) d
E) in the region from 0 to a, and from c to infinity
15. A 3-kg box is moving at 6.0 m/s atop a hill that is 5.0 m above a flat frictionless surface. It descends the hill (also
frictionless) and at the bottom of the hill contacts an ideal spring, which compresses 1.53 m before stopping. What is the
spring constant k ?
A) 172 N/m
B) 225 N/m
C) 344 N/m
D) 450 N/m
E) 980 N/m
Transcribed Image Text:SAMPLE EXAM 3 PHYSICS 111 SPRING 2022 12. A 4-kg ball moving to the right at 12 m/s collides elastically with a 2-kg ball moving to the left at 6 m/s. What are the speeds of the 4-kg and the 2-kg balls after the collision? A) 4 m/s and 10 m/s B) 6 m/s and 12 m/s C) 12 m/s and 6 m/s D) 8 m/s and -8 m/s E) 10 m/s and -4 m/s 13. A 2-kg block is placed at the top of a 5-m high, frictionless ramp and is released from rest. At the bottom of the ramp the 2-kg block collides with a 1-kg block that is initially at rest. The blocks stick together. What is the velocity of the blocks after the collision? A) 3.3 m/s B) 6.6 m/s C) 9.9 m/s D) 10.10 m/s E) There is not enough information given 14. A potential energy function is given below. At what point would an object experience a force in the positive x direction? a c d A) a B) b С) с D) d E) in the region from 0 to a, and from c to infinity 15. A 3-kg box is moving at 6.0 m/s atop a hill that is 5.0 m above a flat frictionless surface. It descends the hill (also frictionless) and at the bottom of the hill contacts an ideal spring, which compresses 1.53 m before stopping. What is the spring constant k ? A) 172 N/m B) 225 N/m C) 344 N/m D) 450 N/m E) 980 N/m
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