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>
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Answer:
(a) T = 0.015 N
(b) M = 1.53 x 10⁻³ kg = 1.53 g
Explanation:
(a) T = 0.015 N
First, we will find the speed of waves:
where,
v = speed of wave = ?
f = frequency = 120 Hz
λ = wavelength = 6 cm = 0.06 m
Therefore,
v = (120 Hz)(0.06 m)
v = 7.2 m/s
Now, we will find the linear mass density of the coil:
where,
μ = linear mass density = ?
m = mass = 1.45 g = 1.45 x 10⁻³ kg
l = length = 5 m
Thereforre,
Now, for the tension we use the formula:
<u>T = 0.015 N</u>
<u></u>
(b)
The mass to be hung is:
<u>M = 1.53 x 10⁻³ kg = 1.53 g</u>