Asmall sphere is hung by a string from the ceiling of a van. when the van is stationary, the sphere hangs vertically. however, when the van accelerates, the sphere swings backward so that the string makes an angle of
θ
with respect to the vertical.
(a) derive an expression for the magnitude a of the acceleration of the van in terms of the angle
θ
and the magnitude g of the acceleration due to gravity.
(b) find the acceleration of the van when
θ=10.0∘
(c) what is the angle
θ
when the van moves with a constant velocity?

Answer with Explanation:

We are given that

String makes an angle w.r.t  vertical=

a.We have to derive an expression for the magnitude of the acceleration of the van in terms of the angle and magnitude g of the acceleration due to gravity.

According to newton's second law

b.

c.Velocity=Constant

We have to find the angle

answer: option c. i.e. electric current flowing “downhill” from the negative electrode to the positive electrode in a battery

explanation:

the water analogy to the circuits define the pipes (water flows) to the electric current. now, we know that the electric current flows from the positive terminal to the circuit (as shown in the diagram attached).

hence, option c is the correct answer.

small = small current large mag large current