Laws of Motion
3 Board Physics previous year questions on Laws of Motion — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
A massless spring gets elongated by amount \({x}_{1}\) under a tension of 5 N . Its elongation is \({x}_{2}\) under the tension of 7 N . For the elongation of \(\left(5{x}_{1}-2{x}_{2}\right)\), the tension in the spring will be,
[JEE Main 2025, 23 Jan (Shift 2)]
11 N
\({F}_{1}=k{x}_{1}\\ 5=k{x}_{1}\\ {x}_{1}=\frac{5}{k}\\ 7=k{x}_{2}\\ {x}_{2}=\frac{7}{k}\)
\(x=5{x}_{1}-2{x}_{2}\\ x=\frac{25}{k}-\frac{14}{k}\Rightarrow x=\frac{11}{k}\\ F=kx\\ F=k\times \frac{11}{k}\\ F=11N\)
A balloon of mass M is ascending with an acceleration a. What fraction of its mass should be dropped so that it starts moving upward with an acceleration of 3 a ?
(Shift - II Memory Based)
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A ball of mass \(0.15\ kg\) is dropped from a height \(10\ m\), strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is (\(g = 10\ m/s^{2}\)) nearly:
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