A substance has a half-life of 10,000 years and an initial mass of 1,000 grams. How many years will pass before only 250 grams o
2 answers:
Answer:
A).
Explanation:
Half life is the total time after which the substance will decay and remains only half of the initial amount
So here we will say that
initial amount is 1000 gram
Now after one half life only half of the amount will remain
so it is
now again after another half life it will remain half of the initial amount
so it is
so it took two half lives
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Answer:
T=4.24 N.m
Explanation:
Torque is equal to force for distance for sinus of the angle between the direction of the force and the distance, the distance between the mass and the pivot is 1 m, and to obtain the force that is the mass for the gravity in this case, we need to know the component that produces a torque in the pivot
F=0.5 kg* 9.8 m/= 4.9 N
and we decompose the force in parallel direction to the rod and perpendicular direction to the rod, the magnitude that produces torque is the perpendicular component, because the torque is in function of the sinus
so, we obtain -> Fy= 4.9 N*sin(60)= 4.24 N
and, T= (4.24 N)*(1 m)*(Sin(90))= 4.24 N.m
anothe way to do it is,
T= (4.9 N)*(1 m)*(Sin(60))= 4.24 N.m, and we obtain the same result