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Answer:
R1 = 5.13 Ω
Explanation:
From Ohm's law,
V = IR............... Equation 1
Where V = Voltage, I = current, R = resistance.
From the question,
I = 2 A, R = R1
Substitute into equation 1
V = 2R1................ Equation 2
When a resistance of 2.2Ω is added in series with R1,
assuming the voltage source remain constant
R = 2.2+R1, and I = 1.4 A
V = 1.4(2.2+R1)................. Equation 3
Substitute the value of V into equation 3
2R1 = 1.4(2.2+R1)
2R1 = 3.08+1.4R1
2R1-1.4R1 = 3.08
0.6R1 = 3.08
R1 = 3.08/0.6
R1 = 5.13 Ω
Accelerating at 9.8 m/s² means that every second, the speed is 9.8 m/s faster than it was a second earlier. It's not important to the problem, but this number (9.8) happens to be the acceleration of gravity on Earth.
1% of the speed of light = (300,000,000 m/s) / 100 = 3,000,000 m/s .
Starting from zero speed, moving (9.8 m/s) faster every second,
how long does it take to reach 3,000,000 m/s ?
(3,000,000 m/s) / (9.8 m/s²) = 306,122 seconds .
(That's 5,102 minutes.)
(That's 85 hours.)
(That's 3.54 days.)
Speed at the beginning . . . zero .
Speed at the end . . . 3,000,000 m/s
Average speed . . . . . 1,500,000 m/s
Distance = (average speed) x (time)
= (1,500,000 m/s) x (306,122 sec) = 4.592 x 10¹¹ meters
= 459 million kilometers
That's like from Earth
to Sun
to Earth
to Sun.
Answer:
Explanation:
The kinetic energy of a rigid body that travels at a speed v is given by the expression:
The equivalence between mass and energy established by the theory of relativity is given by:
This formula states that the equivalent energy 
can be calculated as the mass 
multiplied by the speed of light 
squared.
Where is approximately 
Hence:
Therefore, the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy is:
Answer:
Explanation:
information we have:
mass: 
lenght: 
frequency: 
time: 
and from the information we have we can calculate the angular velocity 
. which is defined as
----------------------------
Now, to calculate the torque
We use the formula
where 
is the moment of inertia and 
is the angular acceleration
moment of inertia of a uniform rod about the end of it:
substituting known values:
for the torque we also need the acceleration which is defined as:
susbtituting known values:
and finally we substitute and into the torque equation :
