(A) The limiting friction force $F_l$ is given by $F_l = \mu R = \mu mg$,where $\mu$ is the coefficient of static friction,$m$ is the mass,and $g$ is

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(A) The limiting friction force $F_l$ is given by $F_l = \mu R = \mu mg$,where $\mu$ is the coefficient of static friction,$m$ is the mass,and $g$ is the acceleration due to gravity.Since the surface remains the same,$\mu$ is constant. Thus,$F_l \propto m$.Given,for $m_1 = 10\, kg$,$F_{l1} = 19.6\, N$.When a $5\, kg$ mass is added,the new mass $m_2 = 10\, kg + 5\, kg = 15\, kg$.Using the proportionality $F_{l2} / F_{l1} = m_2 / m_1$,we get:$F_{l2} = F_{l1} \times (m_2 / m_1) = 19.6 \times (15 / 10) = 19.6 \times 1.5 = 29.4\, N$.

Class 11 Physics Newton's Laws of Motion and Friction Static and Limiting Friction and Minimum Force Required to Move

Medium

$A$ force of $19.6\, N$ when applied parallel to the surface just moves a body of mass $10\, kg$ kept on a horizontal surface. If a $5\, kg$ mass is kept on the first mass,the force applied parallel to the surface to just move the combined body is........ $N.$

A
$29.4$
B
$39.2$
C
$18.6$
D
$42.6$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

Subtopic

Static and Limiting Friction and Minimum Force Required to Move

Which of the following forces does not depend on the velocity: the frictional force between the contact surfaces of two solids or the viscous force?

Easy

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$A$ body of mass $4\, kg$ is at rest on a horizontal table. The coefficient of friction between the body and the table is $0.2$. $A$ horizontal force of $6\, N$ is applied on the body. The acceleration of the body is .......... $m/s^2$.

Medium

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$A$ block of mass $m$ is pressed against a vertical surface by a spring of unstretched length $l$. The spring is compressed by a distance $d$ as shown in the figure. If the coefficient of friction between the block and the surface is $\mu$,choose the correct statement.

Difficult

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$A$ block of mass $2 \, kg$ is kept on the floor. The coefficient of static friction is $0.4$. If a force $F$ of $2.5 \, N$ is applied on the block as shown in the figure,the frictional force between the block and the floor will be ........ $N$.

Medium

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The blocks $A$ and $B$ are arranged as shown in the figure. The pulley is frictionless. The mass of $A$ is $10 \, kg$. The coefficient of friction of $A$ with the horizontal surface is $0.20$. The minimum mass of $B$ to start the motion will be...... $kg$.

Medium

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$A$ force of $19.6\, N$ when applied parallel to the surface just moves a body of mass $10\, kg$ kept on a horizontal surface. If a $5\, kg$ mass is kept on the first mass,the force applied parallel to the surface to just move the combined body is........ $N.$

Similar Questions

Which of the following forces does not depend on the velocity: the frictional force between the contact surfaces of two solids or the viscous force?

$A$ body of mass $4\, kg$ is at rest on a horizontal table. The coefficient of friction between the body and the table is $0.2$. $A$ horizontal force of $6\, N$ is applied on the body. The acceleration of the body is .......... $m/s^2$.

$A$ block of mass $m$ is pressed against a vertical surface by a spring of unstretched length $l$. The spring is compressed by a distance $d$ as shown in the figure. If the coefficient of friction between the block and the surface is $\mu$,choose the correct statement.

$A$ block of mass $2 \, kg$ is kept on the floor. The coefficient of static friction is $0.4$. If a force $F$ of $2.5 \, N$ is applied on the block as shown in the figure,the frictional force between the block and the floor will be ........ $N$.

The blocks $A$ and $B$ are arranged as shown in the figure. The pulley is frictionless. The mass of $A$ is $10 \, kg$. The coefficient of friction of $A$ with the horizontal surface is $0.20$. The minimum mass of $B$ to start the motion will be...... $kg$.

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