Answer:
The change in momentum is
Explanation:
From the question we are told that
The time taken for the stone to stop is
The net force on the rock is
The impulse of the rock can be mathematically represented as
Substituting values
Now impulse is defined as the rate at which momentum change
Hence the change in momentum of the rock is equal to the impulse of the rock
So
Answer:
1. E x 4πr² = ( Q x r³) / ( R³ x ε₀ )
Explanation:
According to the problem, Q is the charge on the non conducting sphere of radius R. Let ρ be the volume charge density of the non conducting sphere.
As shown in the figure, let r be the radius of the sphere inside the bigger non conducting sphere. Hence, the charge on the sphere of radius r is :
Q₁ = ∫ ρ dV
Here dV is the volume element of sphere of radius r.
Q₁ = ρ x 4π x ∫ r² dr
The limit of integration is from 0 to r as r is less than R.
Q₁ = (4π x ρ x r³ )/3
But volume charge density, ρ =
So,
Applying Gauss law of electrostatics ;
∫ E ds = Q₁/ε₀
Here E is electric field inside the sphere and ds is surface element of sphere of radius r.
Substitute the value of Q₁ in the above equation. Hence,
E x 4πr² = ( Q x r³) / ( R³ x ε₀ )
Explanation:
As the given data is as follows.
ohm
,
ohm,
= 1200
(as 1 k ohm = 1000 m)
(a) We will calculate the maximum resistance by combining the given resistances as follows.
Max. Resistance =
= ohm
= 2600 ohm
or, = 2.6 ohm
Therefore, the maximum resistance you can obtain by combining these is 2.6 ohm.
(b) Now, the minimum resistance is calculated as follows.
Min. Resistance =
=
= ohm
Hence, we can conclude that minimum resistance you can obtain by combining these is ohm.