No, it will not fall. The pencil will remain at zero speed relative to the spacecraft and will orbit the earth with the spacecraft.
Answer:
(a) Ey is negative
(b) The magnitude of the electric field is E = 171.429 V/m
(c) The potential difference between points B and C is 17.1429 V
Explanation:
(a) Here, we have the potentials given by;
with point A at y = 8.00 cm and point B at point y = 15.0 cm
where point B is at a higher potential than point A, that is the electric potential is from;
B with y = 15.0 cm to A with y = 8.0 cm which means
decreases as y increases or
is negative.
(b) The magnitude of the electric field is given by
The work done to move a charge from B to A is
where


∴ 

E = 171.429 V/m
(c) Here we have point C x = 5.00 cm and y = 5.00 cm
Therefore we have the distance from B to C given by

Where 10.00 cm = 0.01 m
E = V/Δy
Therefore, V = Δy·E
For
, Δy =
and we have,


I believe the answer would be A, gravity.
Answer:
Explanation:
Let the time period of A and B be Ta and Tb respectively. Similarly , amplitude of A and B be Aa and Ab respectively.
Given ,
Tb = 2 Ta
Ab = 2 Aa
maximum speed of a particle in SHM = ω A , where ω is angular velocity and A is amplitude .
ω = 2π / T
If maximum speed of A be Va
Va = ω A
= 2π( Aa / Ta )
If maximum speed of B be Vb
Vb = ω A
= 2π (Ab / Tb)
Va / Vb = (2π Aa / Ta) x (Tb / 2π Ab)
= (Aa / Ab) x (Tb / T a )
= .5 x 2 = 1
Va = Vb
Their maximum velocities will be equal.