Solve:⬆️ 6th grade math
1 answer:
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Answer:
31.0 grams.
Step-by-step explanation:
According to the given information
Half-life of a substance = 37 years
Initial amount = 202 gram
The exponential function for half-life of a substance is
where, A₀ is initial amount, t is time and h is half life.
Substitute A₀=202 and h=37 in the above function.
We need to find the amount of the substance remaining after 100 years.
Substitute t=100 in the above function.
Round the answer to the nearest tenth.
Therefore, the amount of the substance remaining after 100 years is 31.0 grams.
Answer:
Step-by-step explanation:
Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:
, where F = force applied and d = distance that force is applied over.
*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.
In this case, the force applied must counter the force of gravity on Martha, which is given by , where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore,
. Since she raises her body 4.0 meters, the work done must be
.
Since power is equal to work over time and t = 2.3 seconds, we have:
(to two significant figures)