The current through the heater is 8 A if potential difference is increased to 120 V.
Explanation:
- According to Ohm's Law, the potential difference (Voltage) is directly proportional to the current flowing through a conductor.
That is, V ∝ I
⇒ V = IR where R is the constant of proportionality called resistance.
- In this case, given voltage = 60 V and current = 4 A. To find the current, first find the constant of proportionality, resistance of the heater.
R = V/I = 60/4 = 15 ohm
- If the potential difference is increased to 120 V, find the current flowing through it.
I = V/R = 120/15 = 8 A
Answer:
The initial velocity of the snowball was 22.21 m/s
Explanation:
Since the collision is inelastic, only momentum is conserved. And since the snowball and the box move together after the collision, they have the same final velocity.
Let
be the mass of the ball, and
be its initial velocity; let
be the mass of the box, and
be its velocity; let
be the final velocity after the collision, then according to the law of conservation of momentum:
.
From this we solve for
, the initial velocity of the snowball:

now we plug in the numerical values
,
,
, and
to get:


The initial velocity of the snowball is 22.21 m/s.
<em>P.S: we did not take vectors into account because everything is moving in one direction—towards the west.</em>
Answer:
6N
Explanation:
Given parameters:
Pressure applied by the woman = 300N/m²
Area = 0.02m²
Unknown:
Force applied = ?
Solution:
Pressure is the force per unit area on a body
Pressure =
Force = Pressure x area
Force = 300 x 0.02 = 6N
Answer:
The percentage uncertainty in the average speed is 0.10% (2 sig. fig.)
Explanation:
Consider the formula for average speed
.
,
where
is the total distance, and
is the time taken.
The percentage uncertainty of a fraction is the sum of percentage uncertainties in
- the numerator, and
- the denominator.
What are the percentage uncertainties in
and
in this question?
The unit of the absolute uncertainty in
is meters. Thus, convert the unit of
to meters:
.
.
The unit of the absolute uncertainty in
is seconds. Convert the unit of
to seconds:

Similarly,
.
The average speed
here is a fraction of
and
. Both
and
come with uncertainty. The percentage uncertainty in
will be the sum of percentage uncertainties in
and
. That is:
.
Generally, keep
- two significant figures for percentage uncertainties that are less than 2%, and
- one for those that are greater than 2%.
The percentage uncertainty in
here is less than 2%. Thus, keep two significant figures. However, keep more significant figures than that in calculations to make sure that the final result is accurate.