Answer:
The coil radius of other generator is 5.15 cm
Explanation:
Consider the equation for induced emf in a generator coil:
EMF = NBAω Sin(ωt)
where,
N = No. of turns in coil
B = magnetic field
A = Cross-sectional area of coil = π r²
ω = angular velocity
t = time
It is given that for both the coils magnetic field, no. of turn and frequency is same. Since, the frequency is same, therefore, the angular velocity, will also be same. As, ω = 2πft.
Therefore, EMF for both coils or generators will be:
EMF₁ = NBπr₁²ω Sin(ωt)
EMF₂ = NBπr₂²ω Sin(ωt)
dividing both the equations:
EMF₁/EMF₂ = (r₁/r₂)²
r₂ = r₁ √(EMF₂/EMF₁)
where,
EMF₁ = 1.8 V
EMF₂ = 3.9 V
r₁ = 3.5 cm
r₂ = ?
Therefore,
r₂ = (3.5 cm)√(3.9 V/1.8 V)
<u>r₂ = 5.15 cm</u>
The force of gravity increases with mass, but decreases with increasing distance between objects.
Answer:
The train is moving with a speed of 57.6 m/s.
Explanation:
Given that,
Distance of observer from the road, d = 40 m (due south)
Velocity of the train, v = 60 m/s (due east)
So,
t is time
Net displacement is given by :
Differentiating above equation wrt t as :
Put t = 4 s
So, the train is moving with a speed of 57.6 m/s.
<h2>
Weight of body in planet is 1798.17 N</h2>
Explanation:
Weight = Mass x Acceleration due to gravity
In Earth
784 = Mass x 9.81
Mass = 79.92 kg
Mass of body = 79.92 kg
Mass is a constant, it will not change planet to planet.
In planet
Weight = Mass x Acceleration due to gravity
Weight = 79.92 x 22.5
Weight = 1798.17 N
Weight of body in planet is 1798.17 N