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A constant force is applied to an object, causing the
Chapter 5, Problem 34P(choose chapter or problem)
A constant force is applied to an object, causing the object to accelerate at \(8.0 \mathrm{~m} / \mathrm{s}^{2}\). What will the acceleration be if
a. The force is doubled?
b. The object’s mass is doubled?
c. The force and the object’s mass are both doubled?
d. The force is doubled and the object’s mass is halved?
Equation Transcription:
Text Transcription:
8.0 m/s^2
Questions & Answers
QUESTION:
A constant force is applied to an object, causing the object to accelerate at \(8.0 \mathrm{~m} / \mathrm{s}^{2}\). What will the acceleration be if
a. The force is doubled?
b. The object’s mass is doubled?
c. The force and the object’s mass are both doubled?
d. The force is doubled and the object’s mass is halved?
Equation Transcription:
Text Transcription:
8.0 m/s^2
ANSWER:
Step 1 of 5
For the given different cases, we need to calculate the final acceleration of the object.
Initial a constant force \(F_{0}\) is applied on an object with mass \(m_{0}\) which result the object to accelerate with \(a_{0}=8 \mathrm{~m} / \mathrm{s}^{2}\). We need to determine the final acceleration of the object \(a_{1}=\) ? when mass and force on the object is changed to \(m_{1}\) and \(F_{1}\) respectively.
Using Newton's second law of motion, the two phases can be related as
\(\frac{F_{0}}{F_{1}}=\frac{m_{0} a_{0}}{m_{1} a_{1}} \ldots \ldots \ldots . .1\)