The Idea of Average Force

Q.

If you performed a work "W" on an object. No external forces are acting on you and the object, while doing this work. Which of the following can be true

1. Work done by the object on you is "-W"

2. Work done on you is "-W"

3. Work done by the object is "-W"

4. Work done by you is "W"

Q.

A hypothetical spring type object, exerts a force dependent on diplacement x, given by $4x^3$. What is the average force exterted by it while being displaced 2 units from its natural position?

1. 2

2. 4

3. 8

4. 16

Q. The kinetic energy of a particle moving along a circle of radius $R$ depends on distance $\left(s\right)$ as $K=A{s}^2$ where $A$ is a constant.

The net force acting on the particle is

1. $2As(1+\frac{s}{R})$
2. $As{(1+\frac{s^2}{R^2})}^{1/2}$
3. $2As{(1+\frac{s^2}{R^2})}^{1/2}$
4. zero

Q.

A hypothetical spring type object, exerts a force dependent on diplacement x, given by $4x^3$. What is the average force exterted by it while being displaced 2 units from its natural position?

1. 2

2. 4

3. 8

4. 16

Q. The kinetic energy of a particle moving along a circle of radius $R$ depends on distance $\left(s\right)$ as $K=A{s}^2$ where $A$ is a constant.

The net force acting on the particle is

1. $2As(1+\frac{s}{R})$
2. $As{(1+\frac{s^2}{R^2})}^{1/2}$
3. $2As{(1+\frac{s^2}{R^2})}^{1/2}$
4. zero

Q.

If you performed a work "W" on an object and no external forces are acting on you and the object, while doing this work, which of the following can be true:

1. Work done by the object on you is "-W"

2. Work done on you is "-W"

3. Work done by the object is "-W"

4. Work done by you is "W"

Q.

A freight car is moving on smooth horizontal track without any external force. Rain is falling at the rate of u m/s at an angle $\theta$ with the vertical. Rain drops are collected in the car at the rate of $\mu$ kg/s. If initial mass of the car is $m_0$ and velocity $v_0$ then find its velocity after time it.

1. $v=2ucos\theta (\frac{m_0}{m_0+\mu t}-1)+\frac{m_0{v}_0}{(m_0+\mu t)}$

2. $v=usin\theta (\frac{m_0}{m_0+\mu t}-1)+\frac{3m_0{v}_0}{(m_0+\mu t)}$

3. $v=usin\theta (\frac{m_0}{m_0+\mu t}-1)+\frac{m_0{v}_0}{(m_0+\mu t)}$

4. $Zero$

Q.

If you performed a work "W" on an object and no external forces are acting on you and the object, while doing this work, which of the following can be true:

1. Work done by the object on you is "-W"

2. Work done on you is "-W"

3. Work done by the object is "-W"

4. Work done by you is "W"

Q.

A hypothetical spring type object, exerts a force dependent on diplacement x, given by $4x^3$. What is the average force exterted by it while being displaced 2 units from its natural position?

1. 2

2. 4

3. 8

4. 16

Q.

A freight car is moving on smooth horizontal track without any external force. Rain is falling at the rate of u m/s at an angle $\theta$ with the vertical. Rain drops are collected in the car at the rate of $\mu$ kg/s. If initial mass of the car is $m_0$ and velocity $v_0$ then find its velocity after time it.

1. $v=2ucos\theta (\frac{m_0}{m_0+\mu t}-1)+\frac{m_0{v}_0}{(m_0+\mu t)}$

2. $v=usin\theta (\frac{m_0}{m_0+\mu t}-1)+\frac{3m_0{v}_0}{(m_0+\mu t)}$

3. $v=usin\theta (\frac{m_0}{m_0+\mu t}-1)+\frac{m_0{v}_0}{(m_0+\mu t)}$

4. $Zero$