(A) We know that the force $F$ is calculated using the formula $F = m \times a$,where $m$ is mass and $a$ is acceleration.For the first case:$F_1 = m_

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(A) We know that the force $F$ is calculated using the formula $F = m \times a$,where $m$ is mass and $a$ is acceleration.For the first case:$F_1 = m_1 \times a_1 = 1\, kg \times 10\, m s^{-2} = 10\, N$For the second case:$F_2 = m_2 \times a_2 = 2\, kg \times 4\, m s^{-2} = 8\, N$Comparing the two forces,we find that $10\, N > 8\, N$,which means $F_1 > F_2$.Therefore,accelerating a $1\, kg$ mass at $10\, m s^{-2}$ requires a greater force.

Class 9 Science FORCE AND LAWS OF MOTION Second Law of Motion

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Which would require a greater force $-$ accelerating a $1\, kg$ mass at $10\, m s^{-2}$ or a $2\, kg$ mass at $4\, m s^{-2}$?

A
Accelerating a $1\, kg$ mass at $10\, m s^{-2}$
B
Accelerating a $2\, kg$ mass at $4\, m s^{-2}$
C
Both require the same force
D
Cannot be determined

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FORCE AND LAWS OF MOTION

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Second Law of Motion

An object of mass $100 \,kg$ is accelerated uniformly from a velocity of $5 \,m \,s^{-1}$ to $8 \,m \,s^{-1}$ in $6 \,s$. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

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An automobile vehicle has a mass of $1500 \, kg$. What must be the force (in $N$) between the vehicle and road if the vehicle is to be stopped with a negative acceleration of $1.7 \, m \, s^{-2}$?

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$A$ goalkeeper in a game of football pulls his hands backwards after holding the ball shot at the goal. This enables the goalkeeper to

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Two similar vehicles are moving with the same velocity on roads,such that one of them is loaded and the other is empty. Which of the two vehicles will require a larger force to stop it? Give reasons.

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$A$ cricket ball of mass $70 \, g$,moving with a velocity of $0.5 \, m s^{-1}$ is stopped by a player in $0.5 \, s$. What is the force applied by the player to stop the ball (in $, N$)?

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Which would require a greater force $-$ accelerating a $1\, kg$ mass at $10\, m s^{-2}$ or a $2\, kg$ mass at $4\, m s^{-2}$?

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An object of mass $100 \,kg$ is accelerated uniformly from a velocity of $5 \,m \,s^{-1}$ to $8 \,m \,s^{-1}$ in $6 \,s$. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

An automobile vehicle has a mass of $1500 \, kg$. What must be the force (in $N$) between the vehicle and road if the vehicle is to be stopped with a negative acceleration of $1.7 \, m \, s^{-2}$?

$A$ goalkeeper in a game of football pulls his hands backwards after holding the ball shot at the goal. This enables the goalkeeper to

Two similar vehicles are moving with the same velocity on roads,such that one of them is loaded and the other is empty. Which of the two vehicles will require a larger force to stop it? Give reasons.

$A$ cricket ball of mass $70 \, g$,moving with a velocity of $0.5 \, m s^{-1}$ is stopped by a player in $0.5 \, s$. What is the force applied by the player to stop the ball (in $, N$)?

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