Inertial vs Non Inertial Frames

Q. A reference frame attached to the earth
(A) Is an inertial frame by definition
(B) Cannot be an inertial frame because the earth is revolving around the sun.
(C) Is an inertial frame because Newton's laws are applicable in this frame
(D) Cannot be an inertial frame because the earth is rotating about its own axis.
Which of the above statements is /are correct?

1. A only
2. A and B
3. B and D
4. D only

Q.

A bird is sitting in a large closed cage which is placed on a spring balance. It records a weight of 25 N. The bird (mass m = 0.5 kg) flies upward in the cage with an acceleration of 2 $m/s^2$. The spring balance will now record a weight of

1. 24 N

2. 25 N

3. 26 N

4. 27 N

Q. A spool is pulled horizontally by two equal and opposite forces as shown in the figure. Which of the following statements is correct?

1. The centre of mass moves towards left
2. The centre of mass moves towards right
3. The centre of mass remains stationary
4. The net torque about the centre of mass of the spool is zero.

Q.

A particle is found to be at rest when seen from a frame $S_1$ and moving with a constant velocity when seen from another frame $S_2$. Mark out the possible options.

1. Both the frames are inertial.

2. Both the frames are non-inertial.

3. is inertial and is non-inertial.

4. is non-inertial and is inertial.

Q.

A particle stays at rest as seen in a frame. We can conclude that

1. the frame is inertial

2. resultant force on the particle is zero

3. the frame is inertial if the resultant force on the particle is zero

4. The frame is non-inertial if there is a non-zero resultant force.

Q. The acceleration of a particle as observed from two different frames $S_{1}and{S}_2$ have equal magnitudes of 2 $m{s}^{-2}$.

1. The relative acceleration of the frame is either 0 or $4m/s^2$.
2. Their relative acceleration may have any value between 0 and $4m/s^2$.
3. Both of the frames may be stationary with respect to earth.
4. The frames may be moving with same acceleration in same direction.

Q. A car starts from rest to cover a distance $s$. The coefficient of friction between the road and the tyres is $\mu$. The minimum time in which the car can cover the distance is proportional to–

1. $\mu$
2. $\sqrt{\mu }$
3. $\frac{1}{\sqrt{\mu }}$
4. $\frac{1}{\mu }$

Q. A reference frame attached to the earth
(A) Is an inertial frame by definition
(B) Cannot be an inertial frame because the earth is revolving around the sun.
(C) Is an inertial frame because Newton's laws are applicable in this frame
(D) Cannot be an inertial frame because the earth is rotating about its own axis.
Which of the above statements is /are correct?

1. A only
2. A and B
3. B and D
4. D only

Q.

A bird is sitting in a wire cage hanging from the spring balance. Let the reading of the spring balance be $W_1$.If the bird flies about inside the cage, the reading of the spring balance is $W_2$. Which of the following is true

1. $W_1=W_2$

2. $W_1>W_2$

3. $W_1<W_2$

4. Nothing definite can be predicted

Q. A frame of reference is said to be inertial if...

1. Newton's laws of motion hold good
2. Newton's laws of motion do not hold good
3. The frame of reference accelerates
4. The frame of reference decelerates

Q. At time $t=0$, force ${\overrightarrow{F}}_1=(-4.00\hat{i}+5.00\hat{j})N$ acts on an initially stationary particle of mass $2.00\times {10}^{-3}kg$ and force ${\overrightarrow{F}}_2=(2.00\hat{i}-4.00\hat{j})N$ acts on an initially stationary particle of mass $4\times {10}^{-3}kg$, then at $t=0$ to $t=2ms$

1. The centre of mass of two particles system displace by $0.745mm$
2. The centre of mass of two particle system will displace in $ta{n}^{-1}\left(\frac{-1}{2}\right)$ measured counterclock wise from x-axis.
3. The kinetic energy of centre of mass at $t=2.00ms$ is $1.67\times {10}^{-3}J$
4. None of above

Q. The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is -

1. ${15}^o$
2. ${30}^o$
3. ${45}^o$
4. ${60}^o$

Q.

A particle is found to be at rest when seen from a frame $S_1$ and moving with a constant velocity when seen from another frame $S_2$. Mark out the possible options.

1. Both the frames are inertial.

2. Both the frames are non-inertial.

3. $S_1$ is inertial and $S_2$ is non-inertial.

4. $S_1$ is non-inertial and $S_2$ is inertial.

Q. Derive all the eqations of the second law of motion.

Q. What are the 3 laws of motion?Explain

Q.

A bird is sitting in a large closed cage which is placed on a spring balance. It records a weight placed on a spring balance, It records a weight of 25 N. The bird (mass = 0.5kg) flies upward in the cage with an acceleration of $2m/s^2$. The spring balance will now record a weight of

1. 24 N

2. 25 N

3. 26 N

4. 27 N

Q. Laws of motion

Q. If R is radius of the earth and g is the acceleration due to gravity on the surface of earth so that a body kept on equator feels weightlessis

Q. A reference frame attached to the earth
a) is an inertial frame by definition
b) can not be an inertial frame because the earth is revolving around the sun
c) is an inertial frame because Newton's laws are applicable in this frame
d) cannot be an inertial frame because the earth is rotating about its axis

1. b only correct
2. b and d are correct
3. All are correct
4. a, b, c are correct

Q. A reference frame attached to the earth

1. is an inertial frame by definition.
2. is an inertial frame because Newtons laws are applicable in this frame.
3. cannot be an inertial frame because the earth is revolving around the sun.
4. cannot be an inertial frame because the earth is rotating about its own axis.

Q. How to derive three laws of motion

Q. Which are neutons laws of motion

Q. A partical is observed to be at rest as seen from a frame of reference. We can conclude that -

1. the frame is inertial
2. Resultant force on the particle is zero.
3. Resultant froce on the particle is zero , if the frame is inertial
4. There is a non-zero resultant force , if the frame is non- inertial.

Q.

Will a man in a lift in space accelerating up with an acceleration g feel any different from a man in a stationary lift on Earth?

1. He will feel lighter

2. He will feel no difference

3. Data insufficient

4. He will feel heavier

Q. Which of the following Newton's law(s) is/are not applicable in non-inertial reference frame.

1. Newton's first law
2. Newton's second law
3. Newton's third law
4. All of these

Q. Newton's laws can be applied in a non-inertial frame

1. True
2. False

Q.

A bird is sitting in a large closed cage which is placed on a spring balance. It records a weight placed on a spring balance, It records a weight of 25 N. The bird (mass = 0.5kg) flies upward in the cage with an acceleration of $2m/s^2$. The spring balance will now record a weight of

1. 24 N

2. 25 N

3. 26 N

4. 27 N

Q. A stretching force of 100 N is applied at one end of a spring balance and an equal stretching force is applied at the other end at the same time. The reading on the balance will be :

1. 200 N
2. 100 N
3. 400 N
4. Zero

Q. If a projectile is launched with angle $\theta$ to the horizontal inside a lift going up with acceleration a, its range is:

1. $u^{2}sin\left(2\theta \right)/g$
2. $u^{2}sin\left(2\theta \right)/a$
3. $u^{2}sin\left(2\theta \right)/(g+a)$
4. Man, this makes no sense to me.

Q. What are laws of motion?