Answer:
29.38 seconds
Explanation:
Half life, T = 22.07 s
No = 1293
Let N be the number of atoms left after time t
N = 1293 - 779 = 514
By the use of law of radioactivity
Where, λ is the decay constant
λ = 0.6931 / T = 0.6931 / 22.07 = 0.0314 decay per second
so,
take natural log on both the sides
0.9225 = 0.0314 t
t = 29.38 seconds
Answer:
<em>The terminal velocity at sea level is 7.99 m/s</em>
<em>The terminal velocity at an altitude of 5000 m is 10.298 m/s </em>
<em></em>
Explanation:
mass of sphere m = 10 kg
radius of sphere r = 0.5 m
air density at sea level p = 1.22 kg/m^3
drag coefficient Cd = 0.8
terminal velocity = ?
Area of the sphere A = = 4 x 3.142 x = 3.142 m^2
terminal velocity is gotten from the relationship
where g = acceleration due to gravity = 9.81 m/s^2
imputing values into the equation
= <em>7.99 m/s</em>
<em></em>
If at an altitude of 5000 m where air density = 0.736 kg/m^3, then we replace value of air density in the relationship as 0.736 kg/m^3
= <em>10.298 m/s </em>
Testable Question: How well does each basketball player perform after drinking water, Gatorade, or Powerade?
Hypothesis: If a player drinks water to stay hydrated during a game, then that player will perform better than the players who drank Gatorade or Powerade because water is a natural resource and will keep the body hydrated best.
Control Group: players not drinking water, Gatorade or Powerade to stay hydrated.
Experimental Group: players drinking water, Gatorade, or Powerade to stay hydrated.
Independent Variable: water, Gatorade, and Powerade.
Dependent Variable: how well the players preform.
Constant: the amount of liquid each player consumes during the game (such as one-half liter every quarter).
Force = mass x acceleration
F = ma
500 = 35a
a = 500/35 = 14.28 m/s