Answer:
B=μ₀I/2r
Explanation:
Produced magnetic field due to an existing electric field through a coil or conductor can be explained by Biot-Savart Law. Formula for this law is:
dB=(μ₀I/4π.r²)dL
Here,
r=Radius of the loop
I and r are constants with respect to length L.
To convert linear displacement L into angular displacement Ф:
dL=r.dФ
So,
dB=(μ₀I/4π.r²)r.dФ
dB=(μ₀I/4π.r)dФ
Integrating both sides over the circle i.e. from 0 radians to 2π radians (360⁰), while the integration will apply only on dФ as all others are constants.
B=(μ₀I/4πr)(2π-0)
<u>B=(μ₀I/2r)</u>
Answer:
The person on Earth will have to exert more force to lift their block
Explanation:
The mass of the blocks to be lifted = 200 kg
The location of the first person = On Earth
The location of the second person = On the Moon
The force a person will have to exert to lift the block = The weight of the block = The gravitational force, F, on the block which is given as follows;

Where;
= The acceleration due to gravity on the Earth or the Moon, depending on the location of the block
m₂ = The mass of the block
Therefore, given that the acceleration due to gravity on the Earth is larger than the acceleration due to gravity on the Moon, the weight of the block on the Earth is larger than the weight of the block on the Moon, and the person on Earth have to exert more force to lift the heavier weight of the block on Earth than the person on the Moon will have to exert to lift the same block as the block has a lower weight on the Moon due to lower acceleration due to gravity on the Moon.
<span>Unless the pig moves static friction acts on it once the pig starts moving kinetic friction comes in to play so when the pig is not moving=frictional force acting on it =normal force*co-efficient of static friction.</span>
Answer:
t = 20 s
Explanation:
145 m = 9 m/s × t – 35m
We can obtain the value of t in seconds by doing the following:
145 m = 9 m/s × t – 35m
Add 35 m to both side as shown below:
145 m + 35 m = 9 m/s × t – 35m + 35 m
180 m = 9 m/s × t
Divide both side by 9 m/s
t = 180 m / 9 m/s
t = 20 s
Therefore, the value of t is 20 seconds.
Answer:
0.6983 m/s
Explanation:
k = spring constant of the spring = 0.4 N/m
L₀ = Initial length = 11 cm = 0.11 m
L = Final length = 27 cm = 0.27 m
x = stretch in the spring = L - L₀ = 0.27 - 0.11 = 0.16 m
m = mass of the mass attached = 0.021 kg
v = speed of the mass
Using conservation of energy
Kinetic energy of mass = Spring potential energy
(0.5) m v² = (0.5) k x²
m v² = k x²
(0.021) v² = (0.4) (0.16)²
v = 0.6983 m/s