A car accelerates from rest at 6.6 m/s^2. How much time does it need to attain a speed of 7 m/s?
1 answer:
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We know that -
Where,
First we convert height into meters.
1 km = 1000 meters
3 km = 1000 * 3 meters = 3000 meters
So, putting the values in the above formula, and by taking 'g' = 9.8 m/s², we get-
Where,
First we convert height into meters.
1 km = 1000 meters
3 km = 1000 * 3 meters = 3000 meters
So, putting the values in the above formula, and by taking 'g' = 9.8 m/s², we get-
Answer:
t = 4.21x10⁻⁷ s
Explanation:
The time (t) can be found using the angular velocity (ω):
<em>Where θ: is the angular displacement = π (since it moves halfway through a complete circle)</em>
We have:
<u>Where</u>:
<em>v: is the tangential speed </em>
<em>r: is the radius</em>
The radius can be found equaling the magnetic force with the centripetal force:
Where:
m: is the mass of the alpha particle = 6.64x10⁻²⁷ kg
q: is the charge of the alpha particle = 2*p (proton) = 2*1.6x10⁻¹⁹C
B: is the magnetic field = 0.155 T
Hence, the time is:
Therefore, the time that takes for an alpha particle to move halfway through a complete circle is 4.21x10⁻⁷ s.
I hope it helps you!