Sometimes referred to as the law of inertia. An object at rest stays at rest and an object in motionstays in motion with the sam
1 answer:
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Answer:
question5: F=74312.5N
question6: charge at the end of antenna=0.37N
Explanation:
Coulomb's law: the magnitude of the force of attraction or repulsion due to two charges is proportional to the product of the magnitude of the charges and inversely proportional to the square of distance between the charges.
⇒
∴
where is the force of attraction or repulsion
is Coulumb's constant=
and
are the magnitude of the charges
is the distance between two charges
The force between the two charges is attractive if they are of different polarity
The force between the two charges is repulsive if they are of same polarity
Question5:
Given: q1=0.041 C, q2=0.029 C, r=12 m
therefore by Coulumb's law,
Question6:
Given: q1=, r=5 m, F=
therefore by Coulumb's law,
⇒
Answer:
Each thruster has to applied a force of 294.5N in tangential direction
Explanation:
Mass of the ring ,M =2.1×105kg
Mass of the ship ,m = 3.5×104kg
Radius of the ring R = 86.0 m
distance of ship from center of the ring, r =31.0 m
Let force applied by each thruster be F
Time taken to reach gravity ,t = 3hrs = 3600× 3 =10800sec
The movement of ring make the object kept at the edge feel a force of centrifuge in outward direction.
Centrifugal force = weight of the object on earth
Assume the ring is moving with angular speed ω
Centripetalforce of the object kept at ring
m₁R ω²=m₁g (m₁=mas of object)
⇒Rω² = g
⇒ω = √g/R
The ring start from 0 angular speed with constant angular acceleration
Let the constant angular acceleration be ∝
∝ = ω / t
(ω = √g/R)
∝ =
Consider Torque on the ring and ship system
T = FR + FR = 2FR
Moment of inertia of ring ship system
I = I(ring)+I(ship)+I(ship)
= MR² + mr² + mr² = MR² + 2mr²
angular acceleration of the ring ship system
∝ =
Now we have ,
∝ = , ∝ =
equating both values
We have,
where,
m = 2.1 × 10⁵kg, R = 86m, m = 3.5 × 10₄kg,
r = 31m, g = 9.8m/s² , t = 10800sec
Each thruster has to applied a force of 294.5N in tangential direction