Answer:
Hope it helps..
Explanation:
Let n be the number of the vernier scale division which coincides with the main scale division. Rotate the vernier caliper 90° and repeat the steps 4 and 5 for measuring the internal diameter in perpendicular direction. To measure the depth, find the total reading and zero correction.
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Answer:
Law of Motion/ Law of Inertia
Explanation:
Objects at rest stay at rest unless you're the one to move it.
Answer:
a) 1.082 × 10⁻¹⁹C ( e = 1.6 × 10⁻¹⁹C)
b) 3.466 × 10¹¹ N/C
Explanation:
a)
p(r) = -A exp ( - 2r/a₀)
Q = ₀∫^∞ ₀∫^π ₀∫^2xπ p(r)dV = -A ₀∫^∞ ₀∫^π ₀∫^2π exp ( - 2r/a₀)r² sinθdrdθd∅
Q = -4πA ₀∫^∞ exp ( - 2r/a₀)r²dr = -e
now using integration by parts;
A = e / πa₀³
p(r) = - (e / πa₀³) exp (-2r/a₀)
Now Net charge inside a sphere of radius a₀ i.e Qnet is;
= e - (e / πa₀³) ₀∫^a₀ ₀∫^π ₀∫^2π r² exp (-2r/a₀)dr
= e - e + 5e exp (-2) = 1.082 × 10⁻¹⁹C ( e = 1.6 × 10⁻¹⁹C)
b)
Using Gauss's law,
E × 4πa₀ ² = Qnet / ∈₀
E = 4πa₀ ² × Qnet × 1/a₀²
E = 3.466 × 10¹¹ N/C
Answer:
42.7m
Explanation:
Given:
h'= 1.8 m
r= 1.5 m
ω = 3 rev/s
ω = 3 ₓ 2 π rad/s =>6 π rad/s
Speed of the ball 'V' when it releases from the rope is given by,
V= ω x r
V= 6 π x 1.5
V=28.3 m/s
As we know that acceleration due to gravity always in downward direction.
The final speed will be zero
h = 40.8 m
So the height from the ground,H = h' + h
H= 40.8 + 1.8 =42.7m
Answer:8540 kg-g/s
Explanation:
Given
mass of blue car
velocity of blue car
mass of the truck
speed of truck
After collision they stick and lock together
Let v be the velocity of combined system at angle \theta from vertical
Conserving momentum in east direction
------1
Conserving Momentum in Y direction
-------2
squaring and then adding 1 & 2 we get
v=10.95 m/s
initial momentum of car