1. For your science fair project, you decided to design a model rocket ship. The fuel burns exerting a time-varying force on the small 2.00 kg rocket model during its vertical launch. This force obeys the equation F= A + Bt². Measurements show that at t=0, the force is 25.0 N, and at the end of the first 2.00 s, it is 45.0 N. Assume that air resistance is negligible. a. What are the forces acting on the rocket? b. Draw its free-body diagram.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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1. For your science fair project, you decided to design a model rocket ship.
The fuel burns exerting a time-varying force on the small 2.00 kg rocket
model during its vertical launch. This force obeys the equation F= A + Bt2.
Measurements show that at t=0, the force is 25.0 N, and at the end of the
first 2.00 s, it is 45.0 N. Assume that air resistance is negligible.
a. What are the forces acting on the rocket?
b. Draw its free-body diagram.
c. Find the constants A and B, including their SI units using this
equation F= A + Bt².
d. Find the net force on this rocket and its acceleration the instant after
the fuel ignites.
e. Find the net force on this rocket and its acceleration 3.00 s after fuel
ignition.
f. Suppose you were using this rocket in outer space, far from all gravity.
What would its acceleration be 3.00 s after fuel ignition?
g. What is the rocket's mass in outer space? What is its weight?
Transcribed Image Text:1. For your science fair project, you decided to design a model rocket ship. The fuel burns exerting a time-varying force on the small 2.00 kg rocket model during its vertical launch. This force obeys the equation F= A + Bt2. Measurements show that at t=0, the force is 25.0 N, and at the end of the first 2.00 s, it is 45.0 N. Assume that air resistance is negligible. a. What are the forces acting on the rocket? b. Draw its free-body diagram. c. Find the constants A and B, including their SI units using this equation F= A + Bt². d. Find the net force on this rocket and its acceleration the instant after the fuel ignites. e. Find the net force on this rocket and its acceleration 3.00 s after fuel ignition. f. Suppose you were using this rocket in outer space, far from all gravity. What would its acceleration be 3.00 s after fuel ignition? g. What is the rocket's mass in outer space? What is its weight?
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