what’s the velocity of a bus travelling through a town with a mass of 5040 kg and kinetic energy of 493,900 j ?
1 answer:
Answer:
The velocity of the bus is 14 m/s
Explanation:
Kinetic energy is directly proportional to the mass of the object and to
the square of its velocity
→ K.E = mv², where K.E is the kinetic energy, m is the
mass, and v is the velocity
The unit of the kinetic energy is joule (j)
We need to find the velocity of a bus travelling through a town with a
mass of 5040 kg and kinetic energy of 493,900 j
→ K.E = 493900 j , m = 5040 kg
Substitute these values in the equation above
→ 493900 = (5040)v²
Multiply both sides by 2
→ 987800 = (5040)v²
Divide both sides by 5040
→ 196.00 = v²
Take √ for both sides
→ v = 14 m/s
<em>The velocity of the bus is 14 m/s</em>
You might be interested in
Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.
First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.
Having three known values and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.
If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values and x is the unknown to calculate:
a → b
c → x
So:
Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?
1 kg → 1000000 milligrams
4.56×10⁻² kg → x
So:
<u><em>x=45600 miligrams</em></u>
In summary, the mass of the book is 45600 miligrams.
Learn more: