Mathematical Formulation of second law

Q.

The rate of change in momentum is directly proportional to the:

1. Impulse given.

2. Energy spent.

3. Acceleration produced.

4. Non zero external Force.

Q.

Give two examples to illustrate Newton second law of motion

Q.

A force of $5N$ gives a mass $m_1$ an acceleration of $10m/s^2$ and a mass $m_2$ an acceleration of $20m/s^2$. what acceleration would it give if both the masses were tied together?

Q.

A constant force F = $m_{2}g/2$ is applied on the block of mass $m_1$ as shown in figure. The string and the pulley are light and the surface of the table is smooth. The acceleration of $m_1$ is

1. towards left

2. towards right

3. towards right

4. towards left

Q.

Name the force which is responsible for change in position or state of an object

Q.

Which one of the following is NOT an effect of force?

1. Change of speed of an object.

2. Change of motion of an object.

3. Change of shape/size of the object.

4. Change of the mass of the object.

Q.

A force can change the speed of a moving body.

1. True
2. False

Q.

When a force is exerted on an object, it can change its:

1. State

2. Position

3. All the above

4. Shape

Q.

Derive the unit of force using the second law of motion. A force of $5\mathrm{N}$ produces an acceleration of $8m{s}^{-2}$ on a mass $m_1$and an acceleration of $24m{s}^{-2}$ on a mass$m_2$ . What acceleration would the same force provide if both the masses are tied together?

Q.

Calculate the force between two masses of 100 kg and 1000 kg separated by a distance of 10 m ($G=6.67\ast {10}^{-11}$ N $\frac{m^2}{k{g}^2}$).

Q.

If the same force acts on two bodies of different masses which are initially at rest and gain same displacement, then the ratio of time for which these forces act is:

1. 

2. 

3. 

4. 

Q. Assertion :If the net external force acting on the body is zero, then its acceleration is zero. Reason: Acceleration of a body does not depend on the forces acting on it.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Both Assertion and Reason are incorrect

Q.

When a body moves with a constant velocity, which of the following is/are correct about the motion?

1. Average velocity and average speed is not equal.

2. Average velocity is equal to zero but average speed is non-zero.

3. Magnitude of displacement is equal to that of distance.

4. Net force acting on the body is non-zero.

Q.

An object will continue to accelerate until, the resultant force on it

__

Q. Two mutually perpendicular forces of 8N and 6N acts on the same body of mass 10kg. Calculate (i) net force acting on the body, (ii) magnitude of acceleration of the body and (iii) direction of acceleration of the body.

Q.

Newtons second law of motion:

1. defines force

2. define inertia

3. gives measure of force

4. none of these

Q. Newton's laws of motion

Q.

A car accelerates on a horizontal road due to the

1. the road

2. the driver of the car

3. the engine of the car

4. the earth

Q. State Newton's second law of motion.

Q.

Can one apply force without motion?

Q. Derive the unit of force with the 2nd law of motion
force of 5N produce an accelration of 24m/s^2 on a mass of m^2.What accelration to dothe same force provide the mass are tied together?

Q. A force of a given magnitude acts on a body. On what factors does the acceleration of the body depend?

1. Density of the body
2. Volume of the body
3. Mass of the body
4. Shape of the body

Q.

Define newton.

Q. It's possible to have motion in the absence of a force.

1. True
2. False

Q.

If there are several forces on an object, its acceleration depends on its mass and the _____________ force.

Q. What is an expression for the force due to gravity on a body of mass $m$ ?

1. $F=0$
2. $F=m/g$
3. $F=g$
4. $F=mg$

Q. A small body of density ${\rho }^{\prime }$ is dropped from rest at a height $h$ into a lake of density $\rho$, where $\rho >{\rho }^{\prime }$. Which of the following statement(s) is/are correct, if all dissipative effects are neglected (neglect viscosity)?

1. The speed of the body just entering the lake is $\sqrt{2gh}$.
2. The body in the lake experiences upward acceleration equal to $\{\left(\frac{\rho }{{\rho }^{\prime }}\right)-1\}g$
3. The maximum depth to which the body sinks in the lake is $\frac{h{\rho }^{\prime }}{(\rho -{\rho }^{\prime })}$.
4. The body does not come back to the surface of the lake.

Q.

Explain force and effects of force.

Q.

A force cannot change the shape of a body.

1. True
2. False

Q.

Derive the relation between S.I and C.G.S units of force