Impulse = Ft=mΔv => Δv = Ft/m = 4.28/0.18 = 23.78 m/s
But,
Δv = v1-v2, where v1 = initial velocity = 16 m/s, v2 = final velocity
Therefore,
v1 - v2 = 23.78 => v2 = v1 - 23.78 => v2 = 16 - 23.78 = -7.78 m/s
The velocity of ball after the force is 7.78 m/s in the direction of the force.
Answer:
Approximately 18 volts when the magnetic field strength increases from 
to 
at a constant rate.
Explanation:
By the Faraday's Law of Induction, the EMF 
that a changing magnetic flux induces in a coil is:
,
where
is the number of turns in the coil, and
is the rate of change in magnetic flux through this coil.
However, for a coil the magnetic flux 
is equal to
,
where
is the magnetic field strength at the coil, and
is the area of the coil perpendicular to the magnetic field.
For this coil, the magnetic field is perpendicular to coil, so 
and 
. The area of this circular coil is equal to 
.
doesn't change, so the rate of change in the magnetic flux through the coil depends only on the rate of change in the magnetic field strength . The size of the magnetic field at the instant that 
will not matter as long as the rate of change in is constant.
.
As a result,
.
