Answer:
v ≈ 4.47
Explanation:
The Formula needed = <u>KE = </u>
<u> m v²</u>
<u></u>
Substitute with numbers known:
2000J =
× 200kg × v²
Simplify:
÷100 ÷100 (Divide by 100 on both sides)
2000J = 100 × v²
= v²
20 = v²
√ √ (Square root on both sides)
√20 = √v²
4.472135955 = v (Round to whatever the question asks)
v ≈ 4.47 (I rounded to 2 decimal places or 3 significant figures, as that is what it usually is)
Answer:
the difference is due to resistance tolerance
Explanation:
In mathematical calculations, either done by hand or in a computer program, the heat taken from the resistors is the nominal value, which is the writing in its color code, so all calculations give a result, but the Resistors have a tolerance, indicated by the last band that is generally 5%, 10%, 20% and in the expensive precision resistance can reach 1%.
This tolerance or fluctuation in the resistance value is what gives rise to the difference between the computation values and the values measured with the instruments, multimeters.
Another source of error also occurs due to temperature changes in the circuit that affect the nominal resistance value, there is a very high resistance group that indicates the variation with the temperature, they are only used in critical circuits, due to their high cost
In summary, the difference is due to resistance tolerance.
An inclined plane makes work easier by breaking an upward or downward movement into smaller increments.
A screw is like an inclined plane wrapped around a cylinder. It turns a small rotational force into a larger forward driving force
Answer:
d) I and III only.
Explanation:
Let be
and
the masses of the two laboratory carts and let suppose that
. The expressions for each kinetic energy are, respectively:
and
.
After some algebraic manipulation, the following relation is constructed:

Since
, then
. That is to say,
.
The expressions for each linear momentum are, respectively:
and 
Since
, then
. Which proves that statement I is true.
According to the Impulse Theorem, the impulse needed by cart I is greater than impulse needed by cart II, which proves that statement II is false.
According to the Work-Energy Theorem, both carts need the same amount of work to stop them. Which proves that statement III is true.
The car's velocity at time <em>t</em> is given by

It comes to a stop when <em>v</em> = 0, which happens when

or after about 13.9 s.
In this time, the car travels a distance <em>x</em> given by

or about 192 m.
In one complete revolution, each tire covers a distance equal to its circumference,

or about 2.14 m.
This means each tire will complete approximately 192/2.14 ≈ 90 revolutions.