Question:
A person is standing on a weighing-scale and observes that the reading is $60\,kg$ . He then suddenly jumps up and observes that reading goes to $70\,kg$ . Then his maximum upward acceleration is
A person is standing on a weighing-scale and observes that the reading is $60\,kg$ . He then suddenly jumps up and observes that reading goes to $70\,kg$ . Then his maximum upward acceleration is
Updated On: Sep 19, 2024
- $0$
- $ 1.4\,m/s^{2}$
- $ 1.63\,m/s^{2}$
- $ 9.8\,m/s^{2}$
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The Correct Option is C
Solution and Explanation
Initial reading of the machine is $60\, kg$.
Therefore, mass of the person, $m=60\, kg$ Final reading is $70\, kg$.
Thus, extra force applied on the person is
$\Delta F=(70-60) \times 98=98\, N$
Hence upward acceleration of the person is
$a=\frac{\Delta F}{m}=\frac{98}{60}=1.63\, m / s ^{2}$
Therefore, mass of the person, $m=60\, kg$ Final reading is $70\, kg$.
Thus, extra force applied on the person is
$\Delta F=(70-60) \times 98=98\, N$
Hence upward acceleration of the person is
$a=\frac{\Delta F}{m}=\frac{98}{60}=1.63\, m / s ^{2}$
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Concepts Used:
Laws of Motion
The laws of motion, which are the keystone of classical mechanics, are three statements that defined the relationships between the forces acting on a body and its motion. They were first disclosed by English physicist and mathematician Isaac Newton.
Newton’s First Law of Motion
Newton’s 1st law states that a body at rest or uniform motion will continue to be at rest or uniform motion until and unless a net external force acts on it.
Newton’s Second Law of Motion
Newton's 2nd law of motion deals with the relation between force and acceleration. According to the second law of motion, the acceleration of an object as built by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.
Newton’s Third Law of Motion
Newton's 3rd law of motion states when a body applies a force on another body that there is an equal and opposite reaction for every action.