LA 3 kg steel ballI falls down vertically and strikes a floor with a speed of 12 m/s. It bounces off upward with the same speed. If the ball is in contact with the floor for 0.12 s, what is the magnitude of the average force exerted on the ball by the floor? A) 200 N B) 400N C) 600 N D) 800 N E 1000 N

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Chapter8: Conservation Of Energy
Section: Chapter Questions
Problem 8.31P: When an automobile moves with constant speed down a highway. most of the power developed by the...
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Please use the formula I provided here don’t copy from chegg. Explain me please step by step to understand 1 to 3 and 4,5 please
NJIT Academi
pledge that I have not violated the provisions of the NJI.
The exam is closed book and closed notes.
v2
Circular motion: a =
R
Fnet = ma;
Weight: F=mg, ;
g = 9.8 m/s²;
Payr =.
At
Kinetic energy: K =
m v²;
Potential energy: Ug = mgy
E = Er
E = U+K
2
Rotational motion:
0 =-
1 rev = 2n rad;
v2
- = m?r;
v = o r;
a = a r;
a, =
0 = 0o + at;
e = 0o t +
2θα -ω?-0
T= rFsin%;
K=
T=r x F;
Στ- Ια;
1
1
Icy= -mR2
2
Ipoint mass = mr?
Ipipe =
+ Rin
2
1
Ihoop = mR?
Irod(center) =
-mL²
1
Irod(end) =
Iball = mR?
2
Ishell =
12
I= Icom + MD?
dW
P=
dt
work: W=t0;
- Io
W
Pavr =
At
W = -
Rolling:
Vcom = Ro
1
K= lo
2.
m vcom 2
T= f,R
Fmax = H,Fn
Incline: F=mgsin0 Fg= mgcos0
Angular momentum:
Lpoint mass = m rxv
L= mrvsin 0;
L=m (r,Vy - ryVz)k
L= Io
LJ = Lr
I @1 =I 202
m,x1+m2x2
miy1+m2y 2
m1 +m2
X com =
m1 +m2
y com =
1
Transcribed Image Text:NJIT Academi pledge that I have not violated the provisions of the NJI. The exam is closed book and closed notes. v2 Circular motion: a = R Fnet = ma; Weight: F=mg, ; g = 9.8 m/s²; Payr =. At Kinetic energy: K = m v²; Potential energy: Ug = mgy E = Er E = U+K 2 Rotational motion: 0 =- 1 rev = 2n rad; v2 - = m?r; v = o r; a = a r; a, = 0 = 0o + at; e = 0o t + 2θα -ω?-0 T= rFsin%; K= T=r x F; Στ- Ια; 1 1 Icy= -mR2 2 Ipoint mass = mr? Ipipe = + Rin 2 1 Ihoop = mR? Irod(center) = -mL² 1 Irod(end) = Iball = mR? 2 Ishell = 12 I= Icom + MD? dW P= dt work: W=t0; - Io W Pavr = At W = - Rolling: Vcom = Ro 1 K= lo 2. m vcom 2 T= f,R Fmax = H,Fn Incline: F=mgsin0 Fg= mgcos0 Angular momentum: Lpoint mass = m rxv L= mrvsin 0; L=m (r,Vy - ryVz)k L= Io LJ = Lr I @1 =I 202 m,x1+m2x2 miy1+m2y 2 m1 +m2 X com = m1 +m2 y com = 1
1. A 3 kg steel ball falls down vertically and strikes a floor with a speed of 12 m/s. It bounces off upward with the same speed, If the
ball is in contact with the floor for 0.12 s, what is the magnitude of the average force exerted on the ball by the floor?
A) 200 N
B) 400N
C) 600 N
D) 800 N
E 1000 N
2. A baseball player uses a pitching machine to help him improve his batting average. He places the 60-kg machine on a frozen
pond. The machine fires a 0.12-kg baseball horizontally at a speed of 36 m/s. What is the magnitude of the recoil velocity of the
machine?
A) 3.6 cm/s
B) 7.2 cm/s
C) 10.4 cm/s
D) 15.2 cm/s
E) 36 cm/s
3. The turntable of a record player rotates at a rate of 18 rev/min. It takes 70 seconds for the turntable to come to rest when switched
off. Calculate the magnitude of its angular acceleration.
A) 0.012 rad/s?
B) 0.027 rad/s?
C) 0.054 rad/s²
D) 0.108 rad/s?
E) 0.216 rad/s?
4. The turntable of a record player rotates at a rate of 18 rev/min. It takes 70 seconds for the turntable to come to rest when switched
off. Calculate the number of revolutions it makes before coming to rest.
A) 2.3 rev
B) 3.14 rev
C) 5.3 rev
D) 7.6 rev
E) 10.5 rev
2M
5. The rigid object shown is rotated about an axis perpendicular to the paper and through point P.
If M = 2 kg and L= 0.9 m, what is the moment of inertia of the object? Neglect the mass of the
connecting rods and treat the masses as point masses.
A) 1.2 kgm?
B) 2.45 kgm?
C) 3.65 kgm?
D) 4.9 kgm?
E) 6.15 kgm?
L
7.
[2
M
2M
-L/2
6. A uniform rod of length 1.3-m and mass 29-kg is free to rotate about a frictionless pivot at one end in a
vertical plane, as in the figure. The rod is released from rest in the horizontal position. What is the initial
angular acceleration of the rod?
A) 2.4 rad/s?
B) 4.8 rad/s?
C) 7.3 rad/s?
Pivot
Mg
Transcribed Image Text:1. A 3 kg steel ball falls down vertically and strikes a floor with a speed of 12 m/s. It bounces off upward with the same speed, If the ball is in contact with the floor for 0.12 s, what is the magnitude of the average force exerted on the ball by the floor? A) 200 N B) 400N C) 600 N D) 800 N E 1000 N 2. A baseball player uses a pitching machine to help him improve his batting average. He places the 60-kg machine on a frozen pond. The machine fires a 0.12-kg baseball horizontally at a speed of 36 m/s. What is the magnitude of the recoil velocity of the machine? A) 3.6 cm/s B) 7.2 cm/s C) 10.4 cm/s D) 15.2 cm/s E) 36 cm/s 3. The turntable of a record player rotates at a rate of 18 rev/min. It takes 70 seconds for the turntable to come to rest when switched off. Calculate the magnitude of its angular acceleration. A) 0.012 rad/s? B) 0.027 rad/s? C) 0.054 rad/s² D) 0.108 rad/s? E) 0.216 rad/s? 4. The turntable of a record player rotates at a rate of 18 rev/min. It takes 70 seconds for the turntable to come to rest when switched off. Calculate the number of revolutions it makes before coming to rest. A) 2.3 rev B) 3.14 rev C) 5.3 rev D) 7.6 rev E) 10.5 rev 2M 5. The rigid object shown is rotated about an axis perpendicular to the paper and through point P. If M = 2 kg and L= 0.9 m, what is the moment of inertia of the object? Neglect the mass of the connecting rods and treat the masses as point masses. A) 1.2 kgm? B) 2.45 kgm? C) 3.65 kgm? D) 4.9 kgm? E) 6.15 kgm? L 7. [2 M 2M -L/2 6. A uniform rod of length 1.3-m and mass 29-kg is free to rotate about a frictionless pivot at one end in a vertical plane, as in the figure. The rod is released from rest in the horizontal position. What is the initial angular acceleration of the rod? A) 2.4 rad/s? B) 4.8 rad/s? C) 7.3 rad/s? Pivot Mg
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