BITSAT 2024 | Work, Energy and Power Question 3 | Physics

An ideal massless spring $ S $ can be compressed 1 m by a force of 100 N in equilibrium. The same spring is placed at the bottom of a frictionless inclined plane inclined at $ 30^{\circ} $ to the horizontal. A 10 kg block $ M $ is released from rest at the top of the incline and is brought to rest momentarily after compressing the spring by 2 m . If $ g=10 \mathrm{~m} / \mathrm{s}^{2} $, what is the speed of mass just before it touches the spring?

BITSAT 2024 Physics - Work, Energy and Power Question 1 English

$ \sqrt{20} \mathrm{~m} / \mathrm{s} $

$ \sqrt{30} \mathrm{~m} / \mathrm{s} $

$ \sqrt{10} \mathrm{~m} / \mathrm{s} $

$ \sqrt{40} \mathrm{~m} / \mathrm{s} $

BITSAT 2023

MCQ (Single Correct Answer)

-1

The potential energy for a force field $$\mathbf{F}$$ is given by $$u(x, y)=\cos (x+y)$$. The force acting on a particle at position given by co-ordinates $$(0, \pi / 6)$$ is

$$\frac{-1}{\sqrt{2}}(\hat{\mathbf{i}}+\hat{\mathbf{j}})$$

$$\frac{1}{2}(\hat{\mathbf{i}}+\hat{\mathbf{j}})$$

$$\frac{1}{2} \hat{\mathbf{i}}+\frac{\sqrt{3}}{2} \hat{\mathbf{j}}$$

$$\frac{1}{2} \hat{i}-\frac{\sqrt{3}}{2} \hat{j}$$

BITSAT 2022

MCQ (Single Correct Answer)

-1

A machine gun fires 300 bullets per min if the mass of each bullet is 10 g and the velocity of the bullets is 600 ms^$$-$$1, the power (in kW) of the gun is

43200

7.2

BITSAT 2021

MCQ (Single Correct Answer)

-1

A force F = a + bx acts on a particle in the x-direction where a and b are constants. The work done by this force during a displacement from x = 0 to x = d is

$$\left( {a + {{bd} \over 2}} \right)d$$

$$\left( {ad + {{bd} \over 2}} \right)$$

$$\left( {{{ad + bd} \over 2}} \right)$$

$$(ad + b){d \over 2}$$

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