Answer
Verified
398.7k+ views
Hint: Use the formula that momentum of a particle is nothing but the product of their velocity and mass, Now calculate the momentum of both the bodies and divide them to compare.
Complete step-by-step answer:
Given:
Body X:
Mass, 5 kg
Velocity, 20 m/s
Body Y:
Mass, 20 kg
Velocity, 5 m/s
Calculation:
The momentum of the object is given as:
P = mv
Where, m is the mass of the object and v is the speed of the object
For Body X:
The momentum is given as:
${P}_{1}=mv$
${P}_{1}$ = (5 kg) (20 m/s)
For Body Y:
The momentum is given as:
${P}_{1}=mv$
${P}_{2}$ = (20 kg) (5 m/s)
The ratio of momentum is given as:
$\begin{align}
& \Rightarrow \dfrac{{{P}_{1}}}{{{P}_{2}}}=\dfrac{5\times 20}{20\times 5} \\
& \Rightarrow {{P}_{1}}:{{P}_{2}}=1:1
\end{align}$
Note:The comparison of the momentum can also be calculated using the difference of the momentum of the two quantities.
The difference in the momentum is given as:
$\begin{align}
& \Rightarrow \Delta P={{P}_{1}}-{{P}_{2}} \\
& \Rightarrow \Delta P=\left( 20\times 5 \right)-\left( 5\times 20 \right) \\
& \Rightarrow \Delta P=0 \\
\end{align}$
As the difference in the momentum of the two quantities is zero. The momentum of both objects is equal.
Complete step-by-step answer:
Given:
Body X:
Mass, 5 kg
Velocity, 20 m/s
Body Y:
Mass, 20 kg
Velocity, 5 m/s
Calculation:
The momentum of the object is given as:
P = mv
Where, m is the mass of the object and v is the speed of the object
For Body X:
The momentum is given as:
${P}_{1}=mv$
${P}_{1}$ = (5 kg) (20 m/s)
For Body Y:
The momentum is given as:
${P}_{1}=mv$
${P}_{2}$ = (20 kg) (5 m/s)
The ratio of momentum is given as:
$\begin{align}
& \Rightarrow \dfrac{{{P}_{1}}}{{{P}_{2}}}=\dfrac{5\times 20}{20\times 5} \\
& \Rightarrow {{P}_{1}}:{{P}_{2}}=1:1
\end{align}$
Note:The comparison of the momentum can also be calculated using the difference of the momentum of the two quantities.
The difference in the momentum is given as:
$\begin{align}
& \Rightarrow \Delta P={{P}_{1}}-{{P}_{2}} \\
& \Rightarrow \Delta P=\left( 20\times 5 \right)-\left( 5\times 20 \right) \\
& \Rightarrow \Delta P=0 \\
\end{align}$
As the difference in the momentum of the two quantities is zero. The momentum of both objects is equal.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Select the word that is correctly spelled a Twelveth class 10 english CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE