Atwood Machine

Q. An Atwood machine is set up like the figure which is given below.
If $m_1=6.0kg$ and $m_2=4.5kg$. What is the acceleration of the system when the masses are released? (Take the value of $g=10m{s}^{-2}$)

1. $\frac{10}{7}m{s}^{-2}$
2. $\frac{20}{7}m{s}^{-2}$
3. $\frac{10}{3}m{s}^{-2}$
4. $\frac{20}{3}m{s}^{-2}$

Q. An Atwood machine is set up like the figure below. If $m_1=5.0kg$ and $m_2=15kg$. What is the tension in the rope? Take the value of $g=10m{s}^{-2}$)

1. $25N$
2. $100N$
3. $50N$
4. $75N$

Q. An Atwood machine is set up like the figure which is given below.
If $m_1=4.5kg$ and $m_2=6.0kg$. What is the acceleration of the system when the masses are released? (Take the value of $g=10m{s}^{-2}$)

1. $\frac{10}{7}m{s}^{-2}$
2. $\frac{20}{7}m{s}^{-2}$
3. $\frac{10}{3}m{s}^{-2}$
4. $\frac{20}{3}m{s}^{-2}$

Q. A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of $400m$ in $20s$. Find the force acting on it if its mass is $7\text{metric tonnes}$.

1. $14000N$
2. $7000N$
3. $21000N$
4. $3500N$

Q. An Atwood machine is set up like the figure below. If $m_1=5.0kg$ and $m_2=15kg$. What is the tension in the rope?
Take the value of $g=10m{s}^{-2}$

1. $25N$
2. $50N$
3. $75N$
4. $100N$

Q. An adult weighing $600N$ ralses the center of gravity of his body by $0.25m$ while taking each step of $1m$ length in jogging. If he jogs for $6km$, calculate the energy utilized by him in jogging assuming that there is no energy loss due to friction of ground and air. Assuming that the body of the adult is capable of converting $10\%$ of energy intake in the from of food, calculate the energy equivalent of food that would be required to compensate energy utilized for jogging.

Q. An Atwood machine is set up like the figure below. If $m_1=5.0kg$ and $m_2=15kg$. What is the tension in the rope?
Take the value of $g=10m{s}^{-2}$

1. $25N$
2. $50N$
3. $75N$
4. $100N$

Q. A tugboat pulls on an $84,000N$ barge with a cable having a breaking strength of $15,000N$. Find out the maximum acceleration the tugboat can apply to the barge without the cable breaking?

1. $0.75m/s^2$
2. $1.0m/s^2$
3. $1.25m/s^2$
4. $1.75m/s^2$
5. $1.5m/s^2$