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2.5
That depends what assumptions you make about what the 5 grams of matter is made of.
The words depart and remain are antonyms. They have opposite meaning. If you depart, you did not remain. If you remain, you did not depart.
Pascal's law (pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain the same)... and one common application would be a hydraulic lift (such as those used in garages to raise cars off the ground for inspection).
No. Remained is the past tense and past participle of the verb (to remain), but for this verb there is no adverb for this or the adjective / present participle remaining).
Doubling the initial speed of a projectile will quadruple its range, assuming all other factors remain constant. This is because the range of a projectile is directly proportional to the square of its initial speed.
After each half-life, half of the radium-226 will decay. Therefore, after four half-lives, 1/2^4 or 1/16th of the original gram of radium-226 will remain unchanged. This means that 1/16th of a gram, or 0.0625 grams, will still be unchanged after four half-lives.
Only 25 % remain from the initial isotope.
If the substance has a half-life of 10 years, there would be 10 half-lives in a 100-year span. Each half-life reduces the amount by half, so after 100 years, 1/2^10 = 1/1024 grams of the sample would remain.
When acceleration is zero, the object's velocity can still be changing if the initial velocity is not zero. However, if acceleration is zero and the initial velocity is also zero, then the object's velocity will remain constant.
After 10 days, 1/2 of the original isotope will remain since its half-life is 5 days. This means 6kg of the original isotope will remain after 1 half-life, which remains the same after 10 days since another half-life has passed.
The magnitude of the initial velocity and the acceleration due to gravity remain constant during projectile motion. This means that the speed at which the projectile is launched and the rate at which it accelerates towards the ground do not change.
2.5
After 132 hours, 1/4 of the initial sample of 10 Ci of Mo-99 would remain. Since the half-life is 66 hours, after 66 hours half of the sample would remain (5 Ci), and after another 66 hours (totaling 132 hours), half of that remaining amount would be left.
The halflife of a particular isotope simply tells how long it will remain dangerously radioactive. By storing the spent fuel rods on site much of the shorter lived more intense radiation will have decayed before moving it to a long term repository.
It depends on the substance and its rate of decay. The amount remaining can be calculated using the substance's half-life and the initial amount present.
Given their relative convenience and low initial cost, however, disposable batteries remained dominant in the household sector through the early 2000s.