Answer:
2.85 s .
Explanation:
y(t) = y(0) + v₀t + 1/2 gt²
y(t) is vertical displacement , y(0) is initial position , v₀ is initial velocity and t is time required to make vertical displacement and g is acceleration due to gravity.
Here y(0) is zero , v₀ = 14 m/s , g = 9.8 m s⁻² , y(t ) = 0 , as the pumpkin after time t comes back to its initial position, that is ground .
We shall take v₀ as negative as it is in upward direction and g as positive as it acts in downward direction
Put the values in the equation above,
0 = 0 - 14t + 1/2 x 9.8 t²
14 t = 1/2 x 9.8 t²
t = 28 / 9.8
t = 2.85 s .
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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,
.
Answer:
V = 31.17km/h
Explanation:
The average velocity is given by:
where d is the same distance traveled by the first submarine and t is the the same amout of time that it took.
d = 500km + 500km + 500km+ 500km = 2000km
t = t1 + t2 + t3 + t4
where




So, t = 25 + 12.5 + 16.67 + 10 = 64.17h
And finally:
