Answer:
A) ω = 6v/19L
B) K2/K1 = 3/19
Explanation:
Mr = Mass of rod
Mb = Mass of bullet = Mr/4
Ir = (1/3)(Mr)L²
Ib = MbRb²
Radius of rotation of bullet Rb = L/2
A) From conservation of angular momentum,
L1 = L2
(Mb)v(L/2) = (Ir+ Ib)ω2
Where Ir is moment of inertia of rod while Ib is moment of inertia of bullet.
(Mr/4)(vL/2) = [(1/3)(Mr)L² + (Mr/4)(L/2)²]ω2
(MrvL/8) = [((Mr)L²/3) + (MrL²/16)]ω2
Divide each term by Mr;
vL/8 = (L²/3 + L²/16)ω2
vL/8 = (19L²/48)ω2
Divide both sides by L to obtain;
v/8 = (19L/48)ω2
Thus;
ω2 = 48v/(19x8L) = 6v/19L
B) K1 = K1b + K1r
K1 = (1/2)(Mb)v² + Ir(w1²)
= (1/2)(Mr/4)v² + (1/3)(Mr)L²(0²)
= (1/8)(Mr)v²
K2 = (1/2)(Isys)(ω2²)
I(sys) is (Ir+ Ib). This gives us;
Isys = (19L²Mr/48)
K2 =(1/2)(19L²Mr/48)(6v/19L)²
= (1/2)(36v²Mr/(48x19)) = 3v²Mr/152
Thus, the ratio, K2/K1 =
[3v²Mr/152] / (1/8)(Mr)v² = 24/152 = 3/19
To solve this problem, apply the concepts related to the relationship given between the centripetal Force and the Weight.
The horizontal force component is equivalent to the weight of the car, while the vertical component is linked to the centripetal force exerted on the car, therefore,


Equating both equation we have that,


Rearranging to find the angle we have that,

Our values are given as,




Therefore the minimum angle will be 11.53°
The maximum speed of Tim is 16.95 m/s.
The given parameters:
- Mass of the rope, m = 71 kg
- Tension on the rope, T = 220 N
- Coefficient of kinetic friction, = 0.1
- Time of motion, t = 8 s
<h3>What is Newton's second law of motion?</h3>
- Newton's second law of motion states that, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
The net force on Tim is calculated by applying Newton's second law of motion as follows;

Thus, the maximum speed of Tim is 16.95 m/s.
Learn more about net horizontal force here: brainly.com/question/21684583
Answer:
σ =4.180×10^{-9} C/m^2
Explanation:
electric field due to non conducting sheet is

the force acting on the piece of Styrofoam
Eq= mg
⇒E= mg/q
now,

⇒

charge per unit area (in C/m2) on the plastic sheet σ =4.180×10^{-9} C/m^2