Answer:
187.38 m
Explanation:
Using the equation of motion
s = ut + 1/2gt²...................... Equation 1
Where s = distance of fall, u = initial velocity of the rock, t = time taken for the rock to fall from rest, g = acceleration due to gravity of venus.
Given: u = 0 m/s ( from rest), t = 6.5 s, g = 8.87 m/s².
substituting into equation 1
s = 0(6.5) + 1/2(8.87)(6.5)²
s = 0 + 374.7575/2
s = 187.38 m.
Hence the rock will fall 187.38 m
The electrostatic force between two charges is inversely
proportional to the square of the distance between them.
So if you want to multiply the force by, say, ' Q ',
you need to multiply the distance by ( 1 / √Q ) .
We want to multiply the force by 16, so we need to
multiply the distance by ( 1 / √16 ) = ( 1 / 4 ) .
The distance should be changed to 1/4 of what it is now.
Answer:
754.3 m
Explanation:
The moment of inertia of the solid disk:

Where m is the disk mass and R is the radius of the disk.

The angular kinetic energy of the disk is then:

By law of energy conservation, this energy is converted to potential energy to pick up the 3kg block
let g = 9.8 m/s2

where
= 3 kg is the mass of block


Answer:
It would take
time for the capacitor to discharge from
to
.
It would take
time for the capacitor to discharge from
to
.
Note that
, and that
.
Explanation:
In an RC circuit, a capacitor is connected directly to a resistor. Let the time constant of this circuit is
, and the initial charge of the capacitor be
. Then at time
, the charge stored in the capacitor would be:
.
<h3>a)</h3>
.
Apply the equation
:
.
The goal is to solve for
in terms of
. Rearrange the equation:
.
Take the natural logarithm of both sides:
.
.
.
<h3>b)</h3>
.
Apply the equation
:
.
The goal is to solve for
in terms of
. Rearrange the equation:
.
Take the natural logarithm of both sides:
.
.
.