Question:
A satellite moving with velocity v in a force free space collects stationary interplanetary dust at a rate of $\frac{dM}{dt} = \alpha v$ where M is the mass (of satellite + dust) at that instant. The instantaneous acceleration of the satellite is
A satellite moving with velocity v in a force free space collects stationary interplanetary dust at a rate of $\frac{dM}{dt} = \alpha v$ where M is the mass (of satellite + dust) at that instant. The instantaneous acceleration of the satellite is
Updated On: Jul 2, 2022
- $- \frac{\alpha v}{2M}$
- $- \frac{\alpha v}{M}$
- $- \alpha v^{2}$
- $- \frac{2\alpha v^{2}}{M}$
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
$a_{imt} = \frac{\alpha V^{2}}{M}$
Was this answer helpful?
0
0
Top AIEEE Physics Questions
The combination of gates shown below yields
- Two sources of equal emf are connected to an external resistance $R$. The internal resistances of the two sources are $R_1$ and $R_2 (R_2 > R_1).$ If the potential difference across the source having internal resistance $R_2$, is zero, then :
- Two voltameters, one of copper and another of silver, are joined in parallel. When a total charge $q$ flows through the voltameters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are $Z_1$ and $Z_2$ respectively, the charge which flows through the silver voltameter is :
- The thermo emf of a thermocouple varies with the temperature $?$ of the hot junction as $E = a \,? + b?^2$ in volts where the ratio $a/b$ is $700^{\circ}C$. If the cold junction is kept at $0^{\circ}C$, then the neutral temperature is
- The negative $Zn$ pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by $0.13\, g$ in $30\, minutes$. If the electrochemical equivalent of $Zn$ and $Cu$ are $32.5$ and $31.5$ respectively, the increase in the mass of the positive $Cu$ pole in this time is
View More Questions
Top AIEEE Gravitation Questions
- If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will :
- A point particle is held on the axis of a ring of mass $m$ and radius rat a distance $r$ from its centre $C$. When released, it reaches $C$ under the gravitational attraction of the ring. Its speed at $C$ will be
- Average density of the earth :
- Two spherical bodies of mass $'m'$ and $5M$ and radii $R$ and $2R$ respectively are released in free space with initial separation between their centres equal to $12\,R$. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
- The height at which the acceleration due to gravity becomes $\frac{g}{9}$ (where $g$ = the acceleration due to gravity on the surface of the earth) in terms of $R$, the radius of the earth is
View More Questions
Top AIEEE Questions
The combination of gates shown below yields
- The concentrated sulphuric acid that is peddled commercial is 95% $H_2SO_4$ by weight. If the density of this commercial acid is $1.834\, g$ $cm^{-3}$, the molarity of this solution is
- To neutralize completely $20 \,mL$ of $0.1\, M$ aqueous solution of phosphorous acid $(H_3PO_3)$, the volume of $0.1\, M$ aqueous $KOH$ solution required is
- Two sources of equal emf are connected to an external resistance $R$. The internal resistances of the two sources are $R_1$ and $R_2 (R_2 > R_1).$ If the potential difference across the source having internal resistance $R_2$, is zero, then :
- Two voltameters, one of copper and another of silver, are joined in parallel. When a total charge $q$ flows through the voltameters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are $Z_1$ and $Z_2$ respectively, the charge which flows through the silver voltameter is :
View More Questions
Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].