Answer:
Explanation:
The formula for this, the easy one, is
where No is the initial amount of the element, t is the time in years, and H is the half life. Filling in:
and simplifying a bit:
and
N = 48.0(.0625) so
N = 3 mg left after 12.3 years
Answer:
The minimum speed =
Explanation:
The minimum speed that the rocket must have for it to escape into space is called its escape velocity. If the speed is not attained, the gravitational pull of the planet would pull down the rocket back to its surface. Thus the launch would not be successful.
The minimum speed can be determined by;
Escape velocity =
where: G is the universal gravitational constant, M is the mass of the planet X, and R is its radius.
If the appropriate values of the variables are substituted into the expression, the value of the minimum speed required can be determined.
Answer:
The answer is
"".
Explanation:
Taking into consideration a volume weight = 16 pounds originally extends a springs feet but is extracted to resting at 2 feet beneath balance position.
The mass value is =
The source of the hooks law is stable,
Number times the immediate speed, i.e .. Damping force
The m^2+m+12=0 and m is an auxiliary equation,
Therefore, additional feature
Use the form of uncertain coefficients to find a particular solution.
Assume that solution equation,
These values are replaced by equation ( 1):
Going to compare cos3 t and sin 3 t coefficients from both sides,
The cost3 t is 3A + 3B= 20 coefficients
The sin 3 t is 3B -3A = 0 coefficient
The two equations solved:
Replace the very first equation with the meaning,
equation is
The ultimate plan for both the equation is therefore
Initially, the volume of rest x(0)=2 and x'(0) is extracted by rest i.e.
Throughout the general solution, replace initial state x(0) = 2,
Replace x'(0)=0 with a general solution in the initial condition,