Force and Laws of Motion
Multiple Choice Questions
1. Which of the following statement is not correct for an object moving along a straight path in an accelerated motion?
(a) Its speed keeps changing
(b) Its velocity always changes
(c) It always goes away from the earth
(d) A force is always acting on it
Answer Answer is (c) It always goes away from the earth Explanation: To move away from earth Object’s acceleration should be more than the acceleration due to gravity. To escape from gravity only moving along a straight path is not enough hence option (C) is a wrong statement. According to the third law of motion, action and reaction (a) always act on the same body (b) always act on different bodies in opposite directions (c) have same magnitude and directions (d) act on either body at normal to each other.Show Answer
(a) always act on the same body
(b) always act on different bodies in opposite directions
(c) have same magnitude and directions
(d) act on either body at normal to each other
Answer Answer is (b) always act on different bodies in opposite directions Explanation: Newton’s third law states that “For every action there is equal and opposite reaction”. Hence answer is b)Show Answer
(a) exert larger force on the ball
(b) reduce the force exerted by the ball on hands
(c) increase the rate of change of momentum
(d) decrease the rate of change of momentum
Answer Answer is (b) reduce the force exerted by the ball on hands Explanation: Pulling hands backwards will help goalkeeper to reduce the momentum of the ball which inturn reduces the force of the ball exerted on goalkeeper’s hands.Show Answer
(a) to increase its speed
(b) to decrease its speed
(c) to resist any change in its state of motion
(d) to decelerate due to friction
Answer Answer is (c) to resist any change in its state of motion Explanation: Inertia is the property which resists the state of motion of an object. Object remains in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force.Show Answer
(a) accelerated
(b) uniform
(c) retarded
(d) along circular tracks
Answer Answer is (a) accelerated Explanation: If the motion of train is uniform the coin would have fallen in his hand. If the motion is retarded coin would have fallen ahead of him. Since the coin falls behind the person motion of the train is accelerated.Show Answer
(a) $32 N$
(b) $0 N$
(c) $2 N$
(d) $8 N$
Answer Answer is (b) $0 {N}$ Explanation: Here the friction is opposing the force hence no force is required to keep the object in uniform motion. Hence the answer is $0 N$.Show Answer
(a) mass
(b) energy
(c) momentum
(d) velocity
Answer Answer is (c) momentum Explanation: Velocity of hot gases coming out of rocket provided large momentum in opposite direction which makes the rocket move upwards. Here the conservation of momentum takes place.Show Answer
(a) move backward
(b) move forward
(c) be unaffected
(d) rise upwards
Show Answer
Answer
Answer is (b) move forward
Explanation:
On applying brakes water tanker comes to rest but water will be in motion this makes the water to come forward.
Short Answer Questions
9. There are three solids made up of aluminium, steel and wood, of the same shape and same volume. Which of them would have highest inertia?
Answer Inertia depends on the mass of the object. For the solids with same size and volume inertia is determined by its mass. Hence steel will have highest inertia.Show Answer
Answer Yes the balls start rolling in the direction of train was moving.. When brakes are applied, train will come to rest and balls try to attain rest because of inertia balls remain in motion and they began to roll. Since the mass between two balls are not same inertia of iron ball is greater than the inertia of rubber ball. Hence rubber ball rolls faster than iron ball.Show Answer
Answer The momentum of the bullet depends on the backward momentum of the rifle. Since momentum of lighter rifle is more than the heavier rifle, bullet fired from lighter rifle hurts the shoulder more.Show Answer
Answer When cart moves on the road it has to encounter the friction. In order to keep the cart moving horse should overcome the friction. Hence it continues to apply the force.Show Answer
Answer If external force did not act on the system momentum of that system remains constant. In the give case change in velocity is due to gravitation force of the earth.Show Answer
Fig. 9.1
Answer Given, $m=50 g$ $F=$ ? Force $=$ mass $\times$ acceleration $=\dfrac{50}{1000} \times 10=0.5 N$ velocity $=80 ms^{-1}$. Velocity decelerates due to the friction of the floor with itself and comes to rest after 8 seconds. $a=\dfrac{\text{ Change in velocity }}{\text{ Time }}=\dfrac{0-80}{8}$ $=-10 m / s^{2}$ The negative sign indicates that the frictional force exerted opposes the motion of the ball. Now, using Newton’s relation, Force $=$ mass $\times$ acceleration $=\dfrac{50}{1000} \times-10$ $=-0.5 N$Show Answer
Answer Force $=$ mass $x$ acceleration $F=ma$ $a=f / m$ When mass is doubles force is halved $m$ becomes $2 m$ and $f$ becomes $f / 2$ $a_2=\dfrac{f}{4 m}$ or $\dfrac{a 2}{a 1}=\dfrac{f}{4 m}+\dfrac{f}{m}=\dfrac{1}{4}$ acceleration reduces to $\dfrac{1}{4}$ thShow Answer
Answer Distance between them will increase. Before throwing ball momentum of both of them will be zero. To conserve the momentum person who throws the ball moves backward. Person who catches the ball experiences a net force while catching the ball and he moves backwards.Show Answer
Show Answer
Answer
Water sprinkler works on third law of motion. When water comes out of sprinkler an equal and opposite force is exerted. This will make the sprinkler rotate.
Long Answer Questions
18. Using second law of motion, derive the relation between force and acceleration. A bullet of $10 g$ strikes a sand-bag at a speed of $103 m s-1$ and gets embedded after travelling $5 cm$. Calculate
(i) the resistive force exerted by the sand on the bullet
(ii) the time taken by the bullet to come to rest.
Answer (i) $
\begin{gathered}
m=10 g \\
=\dfrac{10}{1000} kg u \\
=103 m / s \\
v=0
\end{gathered}
$ (ii) $v=u+at$ $
0=10^{3}-10^{7} t
$ $
\begin{aligned}
& 10^{7} t=10^{3} \\
& t=10^{3} / 10^{7} \\
& =10^{-4} s
\end{aligned}
$Show Answer
Answer $F=m a=kg m s^{-2}$ This unit is also called newton. Its symbol is $N$. $m 1=\dfrac{f}{a 1}=\dfrac{5}{8} kg$ $m 2=\dfrac{F}{a 2}=\dfrac{5}{24} kg$ $m=\dfrac{5}{8}+\dfrac{5}{24} kg=\dfrac{5}{6} kg$ Acceleration produced in $M$ $a=\dfrac{f}{m}=\dfrac{5}{5 / 6}=6 ms^{-2}$Show Answer
(a) momentum versus velocity when mass is fixed.
(b) momentum versus mass when velocity is constant.
Show Answer
Answer
The quantity of motion of a moving body is called momentum. It is measured as product of mass and velocity.
Momentum $=$ mass $\times$ velocity
SI unit of momentum is $kg m s^{-1}$
Force $=$ Rate of change in momentum
(1)
(2)