Question 1 :
A motor of 100 H.P. moves a load with a uniform speed of 72 km/hr. The forward thrust applied by the engine on the car is <br>
Question 2 :
If a body moves along a frictionless horizontal surface its weight:
Question 4 :
A man $M_1$ of mass $80 \ kg$ runs up a staircase in $15\ s$. Another man $M_2$ also of mass $80\  kg$ runs up the staircase in $20\  s$. The ratio of the power developed by them will be:
Question 6 :
A body of mass 100g is rotating in a circular path of radius 'r' with constant speed.The work done in one complete revolution is:
Question 7 :
A force of $( 10 \mathrm { i } - 3 \hat { \mathrm { j } } + 6 \hat { \mathrm { k } } ) \mathrm { N }$ acts on a body of 5$\mathrm { kg }$ and displaces it from A $( 6 \hat { i } + 5 \hat { j } - 3 \hat { k } ) m$ to $B ( 10 \hat { i } - 2 \hat { j } + 7 \hat { k } ) m$ . The work done is<br><br>
Question 9 :
The work done in lifting1 kg mass to a height of 9.8 m is about
Question 11 :
A car of mass $'m'$ is driven with acceleration $'a'$ along a straight level road against a constant external resistive force $'R'$. When the velocity of the car is $'V'$, the rate at which the engine of the car is doing work will be
Question 12 :
Under the action of a force, a $2kg$ body moves such that its position $x$ as a function of time is given by $x={ t }^{ 3 }/3$, where $x$ is in meter and $t$ in seconds. The work done by force in first two seconds is
Question 13 :
A car of weight {tex} \mathrm { W } {/tex} is on an inclined road that rises by {tex} 100 \mathrm { m } {/tex} over a distance of {tex} 1 \mathrm { Km } {/tex} and applies a constant frictional force {tex} \frac { \mathrm { W } } { 20 } {/tex} on the car. While moving uphill on the road at a speed of {tex} 10 \mathrm { ms } ^ { - 1 } {/tex}, the car needs power P. If it needs power {tex} \frac { \mathrm { P } } { 2 } {/tex} while moving downhill at speed {tex} v {/tex} then value of {tex} v {/tex} is:
Question 14 :
Forces acting on a particle have magnitudes $5, 3, 1 \ kg.wt$ and act in the directions of the vectors $\displaystyle 6i+2j+3k,3i-2j+6k $ and $\displaystyle 2i-3j-6k$ respectively.These remain constant while the particle is displaced from A (4, -2, -6) to B (7,-2,-2). Find the work done.<br/>
Question 15 :
A body is displaced from $\vec r_A=(2 m, 4 m, -6 m)$ to $\displaystyle \vec{r_{B}}= \left ( 6\hat{i}-4\hat{j}+2\hat{k} \right )$ m under a constant force $\displaystyle \vec{F}= \left ( 2\hat{i}+3\hat{j}-\hat{k} \right )N.$ Find the work done.
Question 16 :
The power of pump, which can pump 200 kg of water to a height of 50 m in 10 sec, will be
Question 17 :
A particle of mass {tex} 10 \mathrm { g } {/tex} moves along a circle of radius {tex} 6.4 \mathrm { cm } {/tex} with constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy ofthe particle becomes equal to {tex}8 \times 10^{-4} \mathrm J {/tex} by the end or the second revolution after the inning of the motion ?
Question 18 :
A force which varies with time $t$ as $\vec F=(3t \hat i +5\hat j )$ acts on a body due to which its displacement varies as $\vec s = (2t^2 \hat i - 5 \hat j)$ where $t$ is in seconds. Work done by this force in initial $2\ s$ is:
Question 19 :
A force {tex} F _ { x } {/tex} acts on a particle such that its position {tex} x {/tex} changes as shown in the figure. The work done by the particle as it moves from {tex} x = 0 {/tex} to {tex} 20 \mathrm { m } {/tex} is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0ee5a88420d95285473c0c">
Question 20 :
The velocity $'v'$ reached by a car of mass $'m'$ at certain distance from the starting point driven with constant power $'P'$ is such that: