Question:
A massless platform is kept on a light elastic spring. When a sand particle of mass 0.1 kg is dropped from a height of 0.24 m, the spring compresses by 0.01 m. From what height should the particle be dropped to cause a compression of 0.04 m?
A massless platform is kept on a light elastic spring. When a sand particle of mass 0.1 kg is dropped from a height of 0.24 m, the spring compresses by 0.01 m. From what height should the particle be dropped to cause a compression of 0.04 m?
Show Hint
Apply conservation of energy for spring compression problems.
Updated On: Mar 18, 2026
- 3.96 m
- 0.396 m
- 4 m
- 0.4 m
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Using energy conservation, compression is proportional to square root of drop height.
Was this answer helpful?
0
0
Top Questions on work, energy and power
- A curve is given between the potential energy \(U\) of a particle and its position on the \(x\)-axis as shown. Given: \[ \tan\theta_1 = 1,\qquad \tan\theta_2 = 3,\qquad \tan\theta_3 = -\frac{1}{2} \] If \(F_{AB}\) is the force acting on the particle during motion from \(A\) to \(B\), similarly \(F_{BC}\), \(F_{CD}\) and \(F_{DE}\) are the forces during \(B\) to \(C\), \(C\) to \(D\) and \(D\) to \(E\) respectively, arrange the magnitudes of these forces in decreasing order.
- JEE Main - 2026
- Physics
- work, energy and power
- A ball of mass 100 g is projected with velocity 20 m/s at $60^\circ$ with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point is:
- JEE Main - 2026
- Physics
- work, energy and power
- Given below are two statements:
Statement I: An object moves from position \( \vec{r}_1 \) to position \( \vec{r}_2 \) under a conservative force field \( \vec{F} \). The work done by the force is \[ W = -\int_{\vec{r}_1}^{\vec{r}_2} \vec{F} \cdot d\vec{r}. \]
Statement II: Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements, choose the correct answer from the options given below:- JEE Main - 2026
- Physics
- work, energy and power
- Observe the figures.
- [(a)] Which one has the mechanical advantage less than one?
- [(b)] State the principle of a lever.
- [(c)] The mechanical advantage of a lever is 2. If the length of its effort arm is 1 m, calculate the length of the load arm.
- [(a)] What do you mean by a lever?
- [(b)] Among Effort, Load, and Fulcrum, state which one comes in the middle for a second order lever and for a third order lever.
- [(c)] A metre scale is suspended in equilibrium position. If a weight of 60 g is suspended at a distance of 25 cm from the balanced point, what weight must be suspended on the other side at a distance of 30 cm to keep the metre scale in equilibrium?
- Kerala SSLC Exam - 2026
- Physics
- work, energy and power
- A load of \(20000\ \text{N}\) is lifted with a wheel and axle system that has a wheel of radius \(50\ \text{cm}\) and an axle of radius \(10\ \text{cm}\).
- [(a)] Calculate the mechanical advantage of this wheel and axle.
- [(b)] How should a wheel and axle be designed to obtain increased mechanical advantage?
- Kerala SSLC Exam - 2026
- Physics
- work, energy and power
View More Questions
Questions Asked in BITSAT exam
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Vector Algebra
- A block of mass 5 kg is placed on a frictionless incline of angle $30^\circ$. What is the acceleration of the block down the incline? (Take $g = 9.8\, m/s^2$)
- BITSAT - 2025
- Projectile motion
- Find the value of $ \sin 75^\circ \cos 15^\circ + \cos 75^\circ \sin 15^\circ $.
- BITSAT - 2025
- Trigonometric Identities
- The equivalent resistance between points A and B in a circuit with two resistors of 6 \(\Omega\) each connected in parallel is:
- BITSAT - 2025
- Current electricity
- A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?
- BITSAT - 2025
- Kinematics
View More Questions