Question: calculate their densties in Si unit.
200mg,0.0004m³
Answer:
0.5 kg/m³
Explanation:
Applying,
D = m/V........................ Equation 1
Where D = density, m = mass, V = volume.
From the question,
Given: m = 200 mg = (200/1000000) kg = 2.0×10⁻⁴ kg, V = 0.0004 m³ = 4.0×10⁻⁴ m³
Substitute these values into equation 1
D = (2.0×10⁻⁴ kg)/(4.0×10⁻⁴)
D = 2/4
D = 0.5 kg/m³
Hence the density in S.I unit is 0.5 kg/m³
Before the engines fail , the rocket's horizontal and vertical position in the air are
and its velocity vector has components
After , its position is
and the rocket's velocity vector has horizontal and vertical components
After the engine failure , the rocket is in freefall and its position is given by
and its velocity vector's components are
where we take .
a. The maximum altitude occurs at the point during which :
At this point, the rocket has an altitude of
b. The rocket will eventually fall to the ground at some point after its engines fail. We solve for , then add 3 seconds to this time:
So the rocket stays in the air for a total of .
c. After the engine failure, the rocket traveled for about 34.6 seconds, so we evalute for this time :
Answer: 0.25 m/s
Explanation: Speed = wavelengt · frequency
v = λf and frequency is 1/period f = 1/T
Then v = λ/T = 5 m / 20 s = 0.25 m/s