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Answer:
15 g
Explanation:
Given,
Plutonium-244 = 30 g
We have to find the gram of Plutonium-244 left after 1 half-life.
We know that the half-life of a radioactive isotope is constant. The half-life of a Radioactive isotope does not depend on the initial amount of isotope.
Now,
After 1 half-life
Plutonium-244 left =
= 15 g
Hence, 15 g of the Plutonium-244 will be left after 1 half-life.
Answer:
The acceleration of the car is 7.85 m/s²
Explanation:
Given;
vx(t)= (0.910m/s³)t², given time traveled by the car 't' = 5.0 s
⇒To determine the velocity for 5 seconds, we substitute in 5.0 s for t
vx(5)= (0.910m/s³)(5s)²
= (0.910m/s³)(25s²)
vx = 22.75 m/s
⇒To determine the acceleration of the car when vx=12.0m/s
Acceleration is change in velocity per unit time
when vx=12.0m/s, our new equation becomes; 12 = (0.910m/s³)t²
Solving for t: t² = 12/0.91
t² = 13.187
t = √13.187 = 3.63 s
Acceleration = Δv/Δt
Acceleration = 7.85 m/s²