21+10=31 because you can see that 21 and 10 are in metres while 12 is in seconds so 21+10=31 is the answer.
The vehicle's centripetal acceleration is equal to 22.5m/s²
Radius, r = 10 meter
Speed, V = 15 m/s
To ascertain the car's centripetal acceleration
A(c) = V²/R
We obtain the following when we enter the formula's parameters:
A(c) = 152/10
A(c) = 225/10
A(c) = 22.5m/s²
<h3>What is Centripetal acceleration ?</h3>
When an item moves in a circular route, one of its motion characteristics is centripetal acceleration. Any motion in a circle with an acceleration vector pointing in the direction of the circle's centre is referred to as centripetal acceleration.
- Centripetal forces cause accelerations at the centripetal axis. With the exception of the Earth's rotation around the Sun, any satellite's circular motion around a celestial body is brought on by the centripetal force produced by their mutual gravitational pull.
Hence, Centripetal acceleration is
22.5 m/s²
Learn more about Centripetal acceleration here:
brainly.com/question/79801
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Answer:
Radius, ![r=2.14\times 10^{-5}\ m](https://tex.z-dn.net/?f=r%3D2.14%5Ctimes%2010%5E%7B-5%7D%5C%20m)
Explanation:
It is given that,
Magnetic field, B = 0.275 T
Kinetic energy of the electron, ![E=4.9\times 10^{-19}\ J](https://tex.z-dn.net/?f=E%3D4.9%5Ctimes%2010%5E%7B-19%7D%5C%20J)
Kinetic energy is given by :
![E=\dfrac{1}{2}mv^2](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2)
![v=\sqrt{\dfrac{2E}{m}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7B2E%7D%7Bm%7D%7D)
v = 1037749.04 m/s
The centripetal force is balanced by the magnetic force as :
![qvB\ sin90=\dfrac{mv^2}{r}](https://tex.z-dn.net/?f=qvB%5C%20sin90%3D%5Cdfrac%7Bmv%5E2%7D%7Br%7D)
![r=\dfrac{mv}{qB}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Bmv%7D%7BqB%7D)
![r=\dfrac{9.1\times 10^{-31}\times 1037749.04}{1.6\times 10^{-19}\times 0.275 }](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B9.1%5Ctimes%2010%5E%7B-31%7D%5Ctimes%201037749.04%7D%7B1.6%5Ctimes%2010%5E%7B-19%7D%5Ctimes%200.275%20%7D)
![r=2.14\times 10^{-5}\ m](https://tex.z-dn.net/?f=r%3D2.14%5Ctimes%2010%5E%7B-5%7D%5C%20m)
So, the radius of the circular path is
. Hence, this is the required solution.
Correct Answers:
- The waves have a trough
- the waves have a crest
- the energy that is transferred move in a perpendicular direction
- particles move in an up and down motion
Answer:
X₃₁ = 0.58 m and X₃₂ = -1.38 m
Explanation:
For this exercise we use Newton's second law where the force is the Coulomb force
F₁₃ - F₂₃ = 0
F₁₃ = F₂₃
Since all charges are of the same sign, forces are repulsive
F₁₃ = k q₁ q₃ / r₁₃²
F₂₃ = k q₂ q₃ / r₂₃²
Let's find the distances
r₁₃ = x₃- 0
r₂₃ = 2 –x₃
We substitute
k q q / x₃² = k 4q q / (2-x₃)²
q² (2 - x₃)² = 4 q² x₃²
4- 4x₃ + x₃² = 4 x₃²
5x₃² + 4 x₃ - 4 = 0
We solve the quadratic equation
x₃ = [-4 ±√(16 - 4 5 (-4)) ] / 2 5
x₃ = [-4 ± 9.80] 10
X₃₁ = 0.58 m
X₃₂ = -1.38 m
For this two distance it is given that the two forces are equal