Correct Answer - Option 4 : 40 m
CONCEPT:
Equation of Kinematics:
- These are the various relations between u, v, a, t, and s for the particle moving with uniform acceleration where the notations are used as:
- Equations of motion can be written as
⇒ V = U + at
\(⇒ s =Ut+\frac{1}{2}{at^{2}}\)
⇒ V2 =U2+ 2as
where, U = Initial velocity, V = Final velocity, a = Acceleration, t = time, and s = Displacement/Distance covered
CALCULATION:
Given m = 6 kg, F = 30 N, U = 0 m/s, and t = 4 sec
According to Newton's second law of motion,
⇒ F = ma
So,
\(⇒ a=\frac{F}{m}\)
\(⇒ a=\frac{30}{6}\)
⇒ a = 5 m/s2
By the second equation of motion,
\(⇒ s =Ut+\frac{1}{2}{at^{2}}\)
\(⇒ s =(0\times4)+\left ( \frac{1}{2}\times5\times 4^{2} \right )\)
\(⇒ s =(0\times4)+\left ( \frac{1}{2}\times5\times 4^{2} \right )\)
⇒ s = 40 m
- Hence, option 4 is correct.
