The acceleration of a particle is zero as measured from an inertial frame of reference. Can we conclude that no force acts on the particle?
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Newton’s Laws of Motion question types
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Newton’s Laws of Motion questions
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Consider a book lying on a table. The weight of the book and the normal force by the table on the book are equal in magnitude and opposite in direction. Is this an example of Newton's third law?
An object is placed far away from all the objects that can exert force on it. A frame of reference is constructed by taking the origin and axes fixed in this object. Will the frame be necessarily inertial?
Raindrops of radius $1mm$ and mass $4mg$ are falling with a speed of $30m/s$ on the head of a bald person. The drops splash on the head and come to rest. Assuming equivalently that the drops cover a distance equal to their radii on the head, estimate the force exerted by each drop on the head.
View full solution →Two blocks $A$ and $B$ of mass $m_A$ and $m_B$ respectively are kept in contact on a frictionless table. The experimenter pushes the block $A$ from behind so that the blocks accelerate. If the block $A$ exerts a force $F$ on the block $B,$ what is the force exerted by the experimenter on $A$?
View full solution →A boy puts a heavy box of mass M on his head and jumps down from the top of a multistoried building to the ground. How much is the force exerted by the box on his head during his free fall? Does the force greatly increase during the period he balances himself after striking the ground?
A spy jumps from an airplane with his parachute. The spy accelerates downward for some time when the parachute opens. The acceleration is suddenly checked and the spy slowly falls on the ground. Explain the action of parachute in checking the acceleration.
Is it possible for a particle to describe a curved path if no force acts on it? Does your answer depend on the frame of reference chosen to view the particle?
When a train starts, the head of a standing passenger seems to be pushed backward. Analyse the situation from the ground frame. Does it really go backward? Coming back to the train frame, how do you explain the backward movement of the head on the basis of Newton's laws?
You are riding in a car. The driver suddenly applies the brakes and you are pushed forward. Who pushed you forward?
A particle of mass $50g$ moves on a straight line. The variation of speed with time is shown in figure. Find the force acting on the particle at $t = 2, 4$ and $6$ seconds.
View full solution →Figure shows a uniform rod of length $30\ cm$ having a mass of $3.0\ kg$. The strings shown in the figure are pulled by constant forces of $20N$ and $32N$. Find the force exerted by the $20\ cm$ part of the rod on the $10\ cm$ part. All the surfaces are smooth and the strings and the pulleys are light.
View full solution →According to Newton's third law each team pulls the opposite team with equal force in a tug of war. Why then one team wins and the other loses?
A block of 2kg is suspended from the ceiling through a massless spring of spring constant k = 100N/m. What is the elongation of the spring? If another 1kg is added to the block, what would be the further elongation?
A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of $12m/s^2.$ Find the displacement of the block during the first $0.2s$ after the start. Take $g = 10m/s^2.$
View full solution →A person is standing on a weighing machine placed on the floor of an elevator. The elevator starts going up with some acceleration, moves with uniform velocity for a while and finally decelerates to stop. The maximum and the minimum weights recorded are $72\ kg$ and $60\ kg.$ Assuming that the magnitudes of the acceleration and the deceleration are the same, find:
View full solution →- The true weight of the person.
- The magnitude of the acceleration. Take $g = 9.9m/s^2.$
In a $TV$ picture tube electrons are ejected from the cathode with negligible speed and reach a velocity of $5 \times 10^6m/s$ in travelling one centimeter. Assuming straight line motion, find the constant force exerted on the electron. The mass of the electron is $9.1 \times 10^{-31}kg.$
View full solution →Suppose you are running fast in a field when you suddendly find a snake in front of you. You stop quickly. Which force is responsible for your deceleration?
Two blocks of unequal masses are tied by a spring. The blocks are pulled stretching the spring slightly and the system is released on a frictionless horizontal platform. Are the forces due to the spring on the two blocks equal and opposite? If yes, is it an example of Newton's third law?
A man has fallen into a ditch of width d and two of his friends are slowly pulling him out using a light rope and two fixed pulleys as shown in figure. Show that the force (assumed equal for both the friends) exerted by each friend on the road increases as the man moves up. Find the force when the man is at a depth h.
The monkey $B$ shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys $A$ and $B$ are $5\ kg$ and $2\ kg$ respectively. If $A$ can tolerate a tension of $30N$ in its tail, what force should it apply on the rope in order to carry the monkey $B$ with it? Take $ g = 10m/s^2$
View full solution →Consider the Atwood machine of the previous problem. The larger mass is stopped for a moment $2.0s$ after the system is set into motion. Find the time elapsed before the string is tight again.
View full solution →The elevator shown in figure is descending with an acceleration of $2\ m/s^2.$ The mass of the block $A$ is $0.5\ kg$. What force is exerted by the block $A$ on the block $B?$
View full solution →Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of $2.0m/s^2$. Find the elongations.
View full solution →A car is speeding up on a horizontal road with an acceleration a. Consider the following situations in the car.
- A ball is suspended from the ceiling through a string and is maintaining a constant angle with the vertical. Find this angle.
- A block is kept on a smooth incline and does not slip on the incline. Find the angle of the incline with the horizontal.
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