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What thrust does a 200 g model rocket need in order to
Chapter 6, Problem 16E(choose chapter or problem)
Problem 16E
What thrust does a 200 g model rocket need in order to have a vertical acceleration of 10 m/s
a. On earth?
b. On the moon, where g =1.62 m/s2?
Questions & Answers
QUESTION:
Problem 16E
What thrust does a 200 g model rocket need in order to have a vertical acceleration of 10 m/s
a. On earth?
b. On the moon, where g =1.62 m/s2?
ANSWER:
Step 1 of 2
(a)
We need to find out the thrust needed by the rocket in order to have a vertical acceleration of \(10 \mathrm{~m} / \mathrm{s}\) on earth.
Using the Newton's second law we can write,
\(F_{\text {thrust }}-F_{G}=m a\)
Implies,
\(F_{\text {thrust }}=m a+F_{G}\)
\(F_{\text {thrust }}=m a+m g\)
\(F_{\text {thrust }}=m(a+g)\)
Mass of the rocket,
\(m=200 \mathrm{~g}=0.200 \mathrm{~kg}\)
Acceleration,
\(a=10 \mathrm{~m} / \mathrm{s}\)
Acceleration due to gravity,
\(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)
So,
\(F_{\text {thrust }}=(0.200)(10+9.8)\)
\(F_{\text {thrust }}=3.96 \mathrm{~N}\)
The thrust needed by the rocket on the earth is \(F_{\text {thrust }}=3.96 \mathrm{~N}\)