Acceleration is a vector quantity that expresses the rate of change in velocity. Being a vector quantity, then the value has magnitude and direction. If the car exerts a constant net force as it travels, the greater the angle of elevation is, the greater is the decrease in its acceleration. Since the vertical component of is affected by the acceleration due to the gravity, that is why vehicles exert more force to climb a steeper hills.
The number of nuclei that have decayed after three half-lives is 12.5% of the original mass.
<h3>
What is half live of radioactive isotope?</h3>
The half life of a radioactive isotope is the time taken for the element to decay to half of its original mass.
<h3>Number of nuclei decayed after 3 half lives</h3>
N = N₀/(2³)
N = N₀/8
N = 0.125N₀
N = 12.5% of N₀
where;
- N is n number of nuclei that have decayed after 3 half lives
- N₀ is the original mass
Thus, the number of nuclei that have decayed after three half-lives is 12.5% of the original mass.
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Answer:
Explanation:
We shall apply conservation of mechanical energy
kinetic energy of alpha particle is converted into electric potential energy.
1/2 mv² = k q₁q₂/d , d is closest distance
d = 2kq₁q₂ / mv²
= 2 x 9 x 10⁹ x 79e x 2e / 4mv²
= 1422 x2x (1.6 x 10⁻¹⁹)² x 10⁹ /4x 1.67 x 10⁻²⁷ x (1.5 x 10⁷)²
= 3640.32 x 10⁻²⁹ /2x 3.7575 x 10⁻¹³
= 484.4 x 10⁻¹⁶
=48.4 x 10⁻¹⁵ m
Her acceleration is zero, because her velocity is not changing.