Answer:
1.52m/s
Explanation:
Using the law of conservation of momentum
m1u1 + m2u2 = (m1+m2)v
m1 and m2 are the masses
u1 and u2 are the initial velocities
v is the final velocity
Substitute the given values into the formula
0.013(270)+2(130) = (270+130)v
3.51+260 = 400v
263.51 = 400v
v = 400/263.51
v = 1.52m/s
Hence the velocity after the bullet emerges is 1.52m/s
The energy in electron volts of the photons that has the following frequencies is as follows:
- 620 THz = 2.564eV
- 3.10GHz = 1.28 × 10-⁵eV
- 46.0 MHz = 1.902 × 10-⁷eV
<h3>How to calculate energy?</h3>
The energy of a photon can be calculated using the following formula:
E = hf
Where;
- E = energy
- h = Planck's constant (6.626 × 10-³⁴ J/s)
- f = frequency
First, we convert the frequencies to hertz as follows;
- 620THz = 6.2 × 10¹⁴Hz
- 3.10GHz = 3.1 × 10⁹Hz
- 46.0MHz = 4.6 × 10⁷Hz
- E = 6.626 × 10-³⁴ × 6.2 × 10¹⁴ = 2.564eV
- E = 6.626 × 10-³⁴ × 3.1 × 10⁹ = 1.28 × 10-⁵eV
- E = 6.626 × 10-³⁴ × 4.6 × 10⁷ = 1.902 × 10-⁷eV
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a. The speed of the pendulum when it reaches the bottom is 0.9 m/s.
b. The height reached by the pendulum is 0.038 m.
c. When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.
<h3>Kinetic energy of the pendulum when it reaches bottom</h3>
K.E = 100%P.E - 18%P.E
where;
K.E(bottom) = 0.82P.E
K.E(bottom) = 0.82(mgh)
K.E(bottom) = 0.82(1 x 9.8 x 0.05) = 0.402 J
<h3>Speed of the pendulum</h3>
K.E = ¹/₂mv²
2K.E = mv²
v² = (2K.E)/m
v² = (2 x 0.402)/1
v² = 0.804
v = √0.804
v = 0.9 m/s
<h3>Final potential energy </h3>
P.E = 100%K.E - 7%K.E
P.E = 93%K.E
P.E = 0.93(0.402 J)
P.E = 0.374 J
<h3>Height reached by the pendulum</h3>
P.E = mgh
h = P.E/mg
h = (0.374)/(1 x 9.8)
h = 0.038 m
<h3>when the pendulum stops</h3>
When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.
Thus, the speed of the pendulum when it reaches the bottom is 0.9 m/s.
The height reached by the pendulum is 0.038 m.
When the pendulum no longer swing at all, all the kinetic energy of the pendulum has been used to overcome frictional force.
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One atom of silicon can properly be combined in a compound withtwo atoms of oxygen to produce silicon dioxide because silicon is very similar to carbon, as it is in the same group as carbon is in, therefore, it is able to make four bonds.
Moreover, Silicon has 4 valence electrons. In order to form an ionic bond, silicon<span> would have to gain or lose 4 electrons.</span>
Answer:
Explanation:
Given that,
Mass of student 1, m₁ = 65 kg
Mass of student 2, m₂ = 70 kg
The distance between the students, d = 3 m
We need to find the magnitude of the gravitational force between the two students. The formula for the magnitude of the gravitational force between two masses is given by :
So, the gravitational force between the two students is 
.
