Answer:
L= 1.468 m
Explanation:
The moment of inertia of the rod about its center is (1/12)m_RL^2
The moment of inertia of each of the two bodies about the described axes is m_B(L/2)2
Hence, the moment of inertia of three body system is (1/12)m_RL^2+ 2×m_B(L/2)^2 which is given to be equal to I_T
=> L^2[(1/12)m_R+m_B/2] = I_T
=> L2 = IT/(mR/12+ mB/2)
=> L = sqrt( 12I_T/(m_R+6m_B))
now putting the value of m_R= 3.47 kg
m_B= 0.263 kg
I_T = 0.97 kg/m^2
L= 1.468 m is the length of the rod be so that the moment of inertia of the three-body system
Answer:
the stopping distance is greater than the free length of the track, the vehicle leaves the track before it can brake
Explanation:
This problem can be solved using the kinematics relations, let's start by finding the final velocity of the acceleration period
v² = v₀² + 2 a₁ x
indicate that the initial velocity is zero
v² = 2 a₁ x
let's calculate
v =
v = 143.666 m / s
now for the second interval let's find the distance it takes to stop
v₂² = v² - 2 a₂ x₂
in this part the final velocity is zero (v₂ = 0)
0 = v² - 2 a₂ x₂
x₂ = v² / 2a₂
let's calculate
x₂ =
x₂ = 573 m
as the stopping distance is greater than the free length of the track, the vehicle leaves the track before it can brake
Answer: Unstable nuclei spontaneously emit radiation in the form of particles and energy. This generally changes the number of protons and/or neutrons in the nucleus, resulting in a more stable nuclide. A nuclear reaction is a reaction that affects the nucleus of an atom.
Answer:
The time spent by the rock in air is 3 s.
Explanation:
Given;
initial horizontal velocity of the rock, u = 20 m/s
horizontal distance traveled by rock, R = 60 m
The the range of the projectile is given by;
R = vt
where;
v is the initial horizontal velocity of the rock
t is the time spent by the rock in air
t = R/v
t = 60 / 20
t = 3 s
Therefore, the time spent by the rock in air is 3 s.
Answer:
The refractive index of glass,
Solution:
Brewster angle is the special case of incident angle that causes the reflected and refracted rays to be perpendicular to each other or that angle of incident which causes the complete polarization of the reflected ray.
To determine the refractive index of glass:
(1)
where
= refractive index of glass
= refractive index of glass
Now, using eqn (1)