A thin rod of length L and total charge Q has the nonuniform linear charge distribution λ(x)=λ0x/L, where x is measured from the rod's left end.

What is λ0 in terms of Q and L?

Express your answer in terms of some or all of the variables Q, L.

What is the electric potential on the axis at distance d left of the rod's left end?

Express your answer in terms of Q, L, d, π, ϵ0.

Explanation:

λ(x) = λo x/ L

(a) The total charge is Q.

λo = 2Q/L

(b)

Let at a distance x from the origin the charge is dq.

so, dq = (2Q/L) x/ L dx

The potential due to this small charge at a distance d to the left of origin

thermal energy is the answer

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.