(D) The total mass of the system is $m = m_A + m_B = 10\, kg + 15\, kg = 25\, kg$.The acceleration of the system is $a = \frac{F}{m} = \frac{500\, N}{

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(D) The total mass of the system is $m = m_A + m_B = 10\, kg + 15\, kg = 25\, kg$.The acceleration of the system is $a = \frac{F}{m} = \frac{500\, N}{25\, kg} = 20\, m/s^2$.In figure $I$,the force $F$ is applied to body $A$. The tension $T$ pulls body $B$. Thus,$T = m_B \cdot a = 15\, kg \times 20\, m/s^2 = 300\, N$.In figure $II$,the force $F$ is applied to body $B$. The tension $T'$ pulls body $A$. Thus,$T' = m_A \cdot a = 10\, kg \times 20\, m/s^2 = 200\, N$.Therefore,$T = 300\, N$ and $T' = 200\, N$.

Class 11 Physics Newton's Laws of Motion and Friction Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

Medium

Two bodies $A$ and $B$ of masses $10\, kg$ and $15\, kg$ respectively,kept on a smooth horizontal surface,are tied to the ends of a light string. If $T$ represents the tension in the string when a horizontal force $F = 500\, N$ is applied to $A$ (as shown in figure $I$) and $T'$ is the tension when it is applied to $B$ (figure $II$),then which of the following is true?

A
$T = T' = 500\, N$
B
$T = T' = 250\, N$
C
$T = 200\, N, T' = 300\, N$
D
$T = 300\, N, T' = 200\, N$

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Class 11

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Chapter

Newton's Laws of Motion and Friction

Subtopic

Motion of Body (or Connected Bodies in horizontal or vertical) (by String or Contact)

$A$ rope of length $L$ and mass $M$ is pulled by a constant force $F$ on a frictionless surface. What is the tension in the rope at a distance $x$ from the end where the force is applied?

Medium

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Three blocks of different masses connected with inextensible strings are pulled by a force $F$ on a frictionless surface as shown in the figure. The ratio of tensions $T_1$ to $T_2$ is

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Two blocks of $7\,kg$ and $5\,kg$ are connected by a heavy rope of mass $4\,kg$. An upward force of $200\,N$ is applied as shown in the diagram. The tension at the top of the heavy rope at point $P$ is ....... $N$ $(g = 10\,m/s^2)$.

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$A$ mass of $10 \, g$ is suspended by a string and the entire system is falling with a uniform acceleration of $400 \, cm/s^2$. The tension in the string will be.......... $dyne$ $(g = 980 \, cm/s^2)$.

Easy

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For the given figure,the tension in the string $T_1$ is .......... $N$.

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$A$ rope of length $L$ and mass $M$ is pulled by a constant force $F$ on a frictionless surface. What is the tension in the rope at a distance $x$ from the end where the force is applied?

Three blocks of different masses connected with inextensible strings are pulled by a force $F$ on a frictionless surface as shown in the figure. The ratio of tensions $T_1$ to $T_2$ is

Two blocks of $7\,kg$ and $5\,kg$ are connected by a heavy rope of mass $4\,kg$. An upward force of $200\,N$ is applied as shown in the diagram. The tension at the top of the heavy rope at point $P$ is ....... $N$ $(g = 10\,m/s^2)$.

$A$ mass of $10 \, g$ is suspended by a string and the entire system is falling with a uniform acceleration of $400 \, cm/s^2$. The tension in the string will be.......... $dyne$ $(g = 980 \, cm/s^2)$.

For the given figure,the tension in the string $T_1$ is .......... $N$.

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