Question 1.9: A rocket has a mass of 250 (10³)slugs on earth. Specify (a) ...
A rocket has a mass of 250 (10³)slugs on earth. Specify (a) its mass in SI units and (b) its weight in SI units. If the rocket is on the moon, where the acceleration due to gravity is g_m=5.30 ft/s², determine to three significant figures (c) its weight in SI units and (d) its mass in SI units.
Using Table 1–2 and applying Eq. 1–3, we have \begin{aligned} a) 250\left(10^3\right) \text { slugs }&=\left[250\left(10^3\right) \text { slugs }\right]\left(\frac{14.59 kg }{1 \text { slugs }}\right) \\&=3.6475\left(10^6\right) kg \\&=3.65 Gg\end{aligned}
\begin{aligned}b) W_e &=m g=\left[3.6475\left(10^6\right) kg \right]\left(9.81 m / s ^2\right) \\&=35.792\left(10^6\right) kg \cdot m / s ^2 \\&=35.8 MN\end{aligned} \begin{aligned}c) W_m &=m g_m=\left[250\left(10^3\right) \text { slugs }\right]\left(5.30 ft / s ^2\right) \\&=\left[1.325\left(10^6\right) lb \right]\left(\frac{4.448 N }{1 lb }\right) \\&=5.894\left(10^6\right) N =5.89 MN\end{aligned}Or
W_m=W_e\left(\frac{g_m}{g}\right)=(35.792 MN)\left(\frac{5.30 ft / s ^2}{32.2 ft / s ^2}\right)=5.89 MNd) Since the mass is independent of its location, then
m_m=m_e=3.65\left(10^6\right) kg =3.65 GgRelated Answered Questions
Question: 1.7
Verified Answer:
Using Table 1–2, we have
1\;\mathrm{Pa}={\f...
Question: 1.15
Verified Answer:
Applying Eq. 1–3, we have
a) m = \frac{W}{...
Question: 1.5
Verified Answer:
\text { a) } 0.000431 \mathrm{~kg}=0.00043...
Question: 1.4
Verified Answer:
\text { a) } \mathrm{m} / \mathrm{ms}=\left...
Question: 1.2
Verified Answer:
\left(4.70 \mathrm{slug} / \mathrm{ft}^3\...
Question: 1.1
Verified Answer:
a) 58.3 km b) 68.5 s c) 2.55 kN d) 7.56 Mg
Question: 1.10
Verified Answer:
\begin{aligned} a)(0.631 Mm ) /(8.60 kg )^...
Question: 1.11
Verified Answer:
\begin{aligned}a) (354 mg )(45 km ) /(0.035...
Question: 1.13
Verified Answer:
Using Table 1–2, we have
\begin{aligned}a) ...
Question: 1.14
Verified Answer:
\text { a) }(430 kg )^2=0.185\left(10^6\rig...