A rocket is about to launch upwards from its platform. The engine ejects gas at a rate of 2100 kg/s and the molecules are expelled at 50 m/s. If the above condition is just sufficient to make it rise upwards, the mass of the rocket is
(Assume $g = 10\, ms^2$)
- $12.6 \times 10^5 \, kg $
- $15.5 \times 10^6 \, kg $
- $9.8 \times 10^5 \, kg $
- $10.5 \times 10^6 \, kg $
The Correct Option is D
Solution and Explanation
Top Questions on momentum
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Knowing the initial position \( x_0 \) and initial momentum \( p_0 \) is enough to determine the position and momentum at any time \( t \) for a simple harmonic motion with a given angular frequency \( \omega \).
Reason (R): The amplitude and phase can be expressed in terms of \( x_0 \) and \( p_0 \).
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Statement (I): Planck's constant and angular momentum have the same dimensions.
Statement (II): Linear momentum and moment of force have the same dimensions.
In the light of the above statements, choose the correct answer from the options given below: - The magnetic moment of an electron (e) revolving in an orbit around the nucleus with an orbital angular momentum is given by:
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Concepts Used:
Momentum
It can be defined as "mass in motion." All objects have mass; so if an object is moving, then it is called as momentum.
the momentum of an object is the product of mass of the object and the velocity of the object.
Momentum = mass • velocity
The above equation can be rewritten as
p = m • v
where m is the mass and v is the velocity.
Momentum is a vector quantity and the direction of the of the vector is the same as the direction that an object.