Question:
A stationary bomb explodes into two parts of masses in the ratio of $ 1:3 $ . If the heavier mass moves with a velocity $ 4\,m/s, $ what is the velocity of lighter part?
A stationary bomb explodes into two parts of masses in the ratio of $ 1:3 $ . If the heavier mass moves with a velocity $ 4\,m/s, $ what is the velocity of lighter part?
Updated On: Apr 29, 2024
- $ 12\,ms^{-1}$ opposite to heavier mass
- $ 12\,ms^{-1}$ in the direction of heavier mass
- $6 \,ms^{-1}$ opposite to heavier mass
- $6 \,ms^{-1}$ in the direction of heavier mass
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The ratio of masses $=1: 3$
Therefore, $m_{1}=x kg,\, m_{2}=3 x\, kg$
Applying law of conservation of momentum
$m_{1} v_{1}+m_{2} v_{2}=0$
$\Rightarrow x \times v_{1}+3 x \times 4=0$
$\Rightarrow v_{1}=-12\, m / s$
Therefore, velocity of lighter mass is opposite to that of heavier mass.
Therefore, $m_{1}=x kg,\, m_{2}=3 x\, kg$
Applying law of conservation of momentum
$m_{1} v_{1}+m_{2} v_{2}=0$
$\Rightarrow x \times v_{1}+3 x \times 4=0$
$\Rightarrow v_{1}=-12\, m / s$
Therefore, velocity of lighter mass is opposite to that of heavier mass.
Was this answer helpful?
0
0
Top Questions on work, energy and power
- Two heaters A and B have power rating of 1 kW and 2 kW, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is :
- NEET (UG) - 2024
- Physics
- work, energy and power
- An object moving along horizontal x-direction with kinetic energy \(10 \, \text{J}\) is displaced through \(\mathbf{x} = (3\mathbf{i}) \, \text{m}\) by the force \(\mathbf{F} = (-2\mathbf{i} + 3\mathbf{j}) \, \text{N}\). The kinetic energy of the object at the end of the displacement \(\mathbf{x}\) is:
- NEET (UG) - 2024
- Physics
- work, energy and power
- An object falls from a height of 10 m above the ground. After striking the ground it loses $50\%$ of its kinetic energy. The height upto which the object can rebounce from the ground is:
- NEET (UG) - 2024
- Physics
- work, energy and power
- At any instant of time t, the displacement of any particle is given by 2t – 1 (SI unit) under the influence of force of 5N. The value of instantaneous power is (in SI unit):
- NEET (UG) - 2024
- Physics
- work, energy and power
- A player caught a cricket ball of mass 150 g moving at a speed of 20 m/s. If the catching process is completed in 0.1 s, the magnitude of force exerted by the ball on the hand of the player is:
- JEE Main - 2024
- Physics
- work, energy and power
View More Questions
Questions Asked in JKCET exam
- What is the colour of the flame on heating potassium in the flame of a Bunsen burner?
- JKCET - 2019
- GROUP 1 ELEMENTS
- Which of the following compounds is known as copper glance?
- JKCET - 2019
- General Principles and Processes of Isolation of Elements
- If $ a $ , $ b $ , $ c $ are the lengths of three edges of unit cell, $ \alpha $ is the angle between side $ b $ and $ c $ , $ \beta $ is the angle between side $ a $ and $ c $ and $ \gamma $ is the angle between side $ a $ and $ b $ , what is the Bravais Lattice dimensions of a tetragonal crystal?
- JKCET - 2019
- The solid state
- Specify the coordination number of the metal in $ [CoBr_2(en)_2]^+ $ .
- JKCET - 2019
- Isomerism in Coordination Compounds
- Which of the following reactions is used for producing symmetrical alkane with double carbon atoms?
- JKCET - 2019
- Hydrocarbons
View More Questions
Concepts Used:
Work, Energy and Power
Work:
- Work is correlated to force and the displacement over which it acts. When an object is replaced parallel to the force's line of action, it is thought to be doing work. It is a force-driven action that includes movement in the force's direction.
- The work done by the force is described to be the product of the elements of the force in the direction of the displacement and the magnitude of this displacement.
Energy:
- A body's energy is its potential to do tasks. Anything that has the capability to work is said to have energy. The unit of energy is the same as the unit of work, i.e., the Joule.
- There are two types of mechanical energy such as; Kinetic and potential energy.
Read More: Work and Energy
Power:
- Power is the rate at which energy is transferred, conveyed, or converted or the rate of doing work. Technologically, it is the amount of work done per unit of time. The SI unit of power is Watt (W) which is joules per second (J/s). Sometimes the power of motor vehicles and other machines is demonstrated in terms of Horsepower (hp), which is roughly equal to 745.7 watts.
- Power is a scalar quantity, which gives us a quantity or amount of energy consumed per unit of time but with no manifestation of direction.