Question
Download Solution PDFA force of 100 N is applied on a body at rest. The body covers 10 m in 5 s due to this force. Mass of the body in kg is -
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Equations of Motion: The equations of motion establish the relationship between acceleration, time, distance, initial speed, and final speed for a body moving in a straight line with uniform acceleration.
The equations are
v = u + at - (1)
\(s = ut + \frac{1}{2}at^2\) - (2)
v2 = u2 + 2as - (3)
v = Final velocity, u = Initial velocity, t = Ttime, a = Acceleration,s = Distance travelled.
Also, from newton's second law of motion
F = ma
m = Mass
Calculation:
Given:
u = 0, t = 5 s, s = 10 m, F = 100 N
Using \(s = ut + \frac{1}{2}at^2\)
\(10 = 0× 5 + \frac{1}{2}a× 5^2\)
a = 0.8 m/s2
Now, F = ma
100 = m × 0.8
m = 125 kg
Last updated on Jun 20, 2025
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