Tag: force and newton's laws of motion

Quizzes (10) Questions (223)

Questions Related to force and newton's laws of motion

Multiple choice physics force and newton's laws of motion momentum (p) introduction to momentum linear momentum

The changes in a momentum of a particle,when the kinetic energy is increased by 0.1% will be:-

  1. 0.05%

  2. 0.1%

  3. 1.0%

  4. 10%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

\begin{array}{l} The\, \, kineticenergyisE=\frac { 1 }{ 2 } m{ v^{ 2 } } \ The\, \, \, momentum\, \, is\, \, p=mv \ v=\sqrt { \frac { { 2E } }{ m }  }  \ therefore, \ \Rightarrow p=mv=m\sqrt { \frac { { 2E } }{ m }  } =\sqrt { 2mE }  \ taking\, \log  s, \ \Rightarrow \log  \, p=\frac { 1 }{ 2 } \left( { \log  2+\log  m+\log  \, E } \right)  \ differentiating: \ \Rightarrow \frac { { \Delta \, p } }{ p } =\frac { 1 }{ 2 } \left( { \frac { { \Delta m } }{ m }  } \right) +\frac { 1 }{ 2 } \left( { \frac { { \Delta E } }{ E }  } \right)  \ but, \ \Rightarrow \frac { { \Delta E } }{ E } =0.1 \ so.\, therefore, \ \Rightarrow \frac { { \Delta p } }{ p } =\frac { 1 }{ 2 } \times 0.1=0.05 \ so\, the\, correct\, option\, is\, A. \end{array}

Multiple choice physics force and newton's laws of motion momentum (p) introduction to momentum linear momentum

Momentum is closely related to:

  1. force

  2. impulse

  3. velocity

  4. kinetic energy
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Momentum of an object is due to its mass and velocity. m x v = momentum. Mass remains constant for any object. The value of momentum mostly depends on the value of velocity. Thus, velocity out of the four options is closely related to momentum.

Multiple choice physics force and newton's laws of motion momentum (p) introduction to momentum linear momentum

A metal ball does not rebound when struck on a wall, whereas a rubber ball of same mass when thrown with the same velocity on the wall rebounds. From this it is inferred that:

  1. change in momentum is same in both.

  2. change in momentum in rubber ball is more.

  3. change in momentum in metal ball is more.

  4. initial momentum of metal ball is more than that of rubber ball.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rubber ball has got more elasticity and the change in velocity is more in case of rubber ball which proves that change in momentum of rubber ball is more.

Multiple choice physics force and newton's laws of motion momentum (p) introduction to momentum linear momentum

 A cannon ball of mass $500 g$ is fired with a speed of $15 m s^{-1}$. Find its momentum.

  1. $7500 kg$ $m$ $s^{-1}$

  2. $3750 kg$ $m$ $s^{-1}$

  3. $7.5kg$ $m$ $s^{-1}$

  4. $3.75kg$ $m$ $s^{-1}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$P = m\times v$


Given m = 500 gram which is also 0.5 Kg after conversion$(500/1000 = 0.5 kg);\ v= 15 \ m/sec$

$P= 0.5\times 15 = 7.5 kg m/sec$

Hence momentum is equal to $7.5 kg\ m/sec$.

Multiple choice physics force and newton's laws of motion momentum (p) introduction to momentum linear momentum

Two balls A and B of masses $m$ and $2m$ are in motion with velocities $2v$ and $v$ respectively. What is the ratio of their momentum ?

  1. 1:2

  2. 2:1

  3. 1:1

  4. 4:1
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

(i) Inertia depends on mass, and since the mass of the two balls are $m$ and $2m$, So the ratio of inertia of the balls $1 : 2$

(ii)Momentum , $ p = mv$
So, as per momentum equation, it depends on both mass and velocity.
So, their ratio $= m \times  2v : 2m \times  v = 1: 1$


Multiple choice physics force and newton's laws of motion momentum (p) introduction to momentum linear momentum

A body of mass m moving with a velocity v is acted upon by a force. Write expression for change in momentum  when $v\rightarrow c$.

  1. $m \Delta v$

  2. $\Delta \left( mv \right)$

  3. $v \Delta\left(m \right)$

  4. $mv$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

As we know that momentum (p) =MAASS$\times$VELOCITY(vector quantity)
hence chance in momentum($\Delta$p)=${{m} _{2}{v} _{2}}-{{m} _{1}{v} _{1}}$=$\Delta$(mv)
where ${m} _{1}$=${m} _{2}$=m
$\Delta$v=${v} _{2}-{v} _{1}$

Multiple choice physics force and newton's laws of motion momentum (p) introduction to momentum linear momentum

The linear momentum of a ball of mass $50  g$ is $0.5  kg  { m  s }^{ -1 }$. Find its velocity.

  1. $0.01$ ${ m s }^{ -1 }$

  2. $1$ ${ m s }^{ -1 }$

  3. $5$ ${ m s }^{ -1 }$

  4. $10$ ${ m s }^{ -1 }$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We know that $ p= mv$
where $p =0.5 kg ms^{-1}$ linear momentum
$m=50g = 0.05kg$ mass, $v =$ velocity
$\therefore v = \dfrac{p}{m}$
$\Rightarrow =\dfrac{0.5}{0.05} = 10 m/s$