1. A 3.0-kg ball with an initial velocity of (4i +3j) m/s collides with a wall and rebounds with a velocity of (-4i + 3j) m/s. What is the impulse exerted on the ball by the wall? A) +24i N s B) -24i N s C) +18j N s D) -18j N s E) +8.0i N s

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 78AP: A 60-kg soccer player jumps vertically upwards and heads the 0.45-kg ball as it is descending...
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Please explain me step by step following number 1,2,3,4 use provided formulas sheet plus don’t copy from chegg please
The exam is closed book and closed notes.
W
Pavr =
At
Weight: F= mg, ;
g= 9.8 m/s?;
Fnet = ma;
Circular motion: ac =
R
1
m v²;
Potential energy: Ug = mgy
E = E
E = U+K
Kinetic energy: K =
v2
Rotational motion: 0==;
= m°r;
1 rev = 2n rad;
v = o r;
at = a r;
a, =
r
0 = t+at?;
28a = o - o K= lo ?
0 = 0o + at;
T=rx F;
T= rFsino;
R2
2 + Rin
Στ-Ια;
Ipoint mass = mr?
Idisk =
2
2
:-
Ihoop = mR?
Irod(center) =
mL?
Irod(end) = mL?
Iball =
mR?
Ishell =
mR?
12
dW
P =
dt
W
Pavr =
At
I= Icom + MD?
work: W =t 0;
K=
2
W =
2
Rolling:
Vcom = Ro
K =
a Veom 2
T= f,R
Fmax = H,Fn
Incline: F- mgsin0 F=mgcos0
Angular momentum:
Lpoint mass =m rxv
L= mrvsin 0;
L=m (r,Vy - ryVa)k
L= Io
LI = L4
m,x1 +m2X2
mıy1 +m2y2
m1 +m2
I o =I 202
X com =
Усom
m, +m2
Transcribed Image Text:The exam is closed book and closed notes. W Pavr = At Weight: F= mg, ; g= 9.8 m/s?; Fnet = ma; Circular motion: ac = R 1 m v²; Potential energy: Ug = mgy E = E E = U+K Kinetic energy: K = v2 Rotational motion: 0==; = m°r; 1 rev = 2n rad; v = o r; at = a r; a, = r 0 = t+at?; 28a = o - o K= lo ? 0 = 0o + at; T=rx F; T= rFsino; R2 2 + Rin Στ-Ια; Ipoint mass = mr? Idisk = 2 2 :- Ihoop = mR? Irod(center) = mL? Irod(end) = mL? Iball = mR? Ishell = mR? 12 dW P = dt W Pavr = At I= Icom + MD? work: W =t 0; K= 2 W = 2 Rolling: Vcom = Ro K = a Veom 2 T= f,R Fmax = H,Fn Incline: F- mgsin0 F=mgcos0 Angular momentum: Lpoint mass =m rxv L= mrvsin 0; L=m (r,Vy - ryVa)k L= Io LI = L4 m,x1 +m2X2 mıy1 +m2y2 m1 +m2 I o =I 202 X com = Усom m, +m2
1. A 3.0-kg ball with an initial velocity of (4i + 3j) m/s collides with a wall and rebounds with a velocity of (-4i + 3i).
m/s. What is the impulse exerted on the ball by the wall?
A) +24i N s
B) -24i N s
C) +18j N s
D) -18j N s
E) +8.0i N s
2. An 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to a 60-g particle
moving 50 m/s in the positive y direction. What is the magnitude of the velocity of the composite system after the
collision?
A) 36 m/s
B) 50 m/s
C) 75 m/s
D) 86 m/s
E) 11 m/s
3. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s?. How long does it take to rotate through
the first 2 rev?
A) 2 s
B) 4 s
C) 6 s
D) 8 s
E) 10 s
4. A wheel, with radius R = 0.5 m, initially has an angular velocity of 2.5 rev/s, and is slowing down at a rate of 2 rad/s?.
By the time it stops spinning about its center, what distance will a point on the outer rim have traveled?
A) 12 m
B) 18 m
C) 24 m
D) 31 m
E) 47 m
Transcribed Image Text:1. A 3.0-kg ball with an initial velocity of (4i + 3j) m/s collides with a wall and rebounds with a velocity of (-4i + 3i). m/s. What is the impulse exerted on the ball by the wall? A) +24i N s B) -24i N s C) +18j N s D) -18j N s E) +8.0i N s 2. An 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to a 60-g particle moving 50 m/s in the positive y direction. What is the magnitude of the velocity of the composite system after the collision? A) 36 m/s B) 50 m/s C) 75 m/s D) 86 m/s E) 11 m/s 3. A merry-go-round rotates from rest with an angular acceleration of 1.56 rad/s?. How long does it take to rotate through the first 2 rev? A) 2 s B) 4 s C) 6 s D) 8 s E) 10 s 4. A wheel, with radius R = 0.5 m, initially has an angular velocity of 2.5 rev/s, and is slowing down at a rate of 2 rad/s?. By the time it stops spinning about its center, what distance will a point on the outer rim have traveled? A) 12 m B) 18 m C) 24 m D) 31 m E) 47 m
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