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An impulsive force of \(100 \mathrm{~N}\) acts on a body for \(1 \mathrm{sec}\) What is the change in its linear momentum ? (A) \(10 \mathrm{~N}-\mathrm{S}\) (B) \(100 \mathrm{~N}-\mathrm{S}\) (C) \(1000 \mathrm{~N}-\mathrm{S}\) (D) \(1 \mathrm{~N}-\mathrm{S}\)

Short Answer

Expert verified
The change in linear momentum is \(100 \mathrm{~N}-\mathrm{S}\).

Step by step solution

01

Recall the impulse-momentum theorem formula

The formula for the impulse-momentum theorem is given as: Impulse = Change in Momentum Impulse = Force × Time Change in Momentum = Force × Time
02

Plug in the given values and calculate the change in momentum

From the problem, the force is 100 N and the time is 1 sec. Plug these values into the formula: Change in Momentum = 100 N × 1 s Change in Momentum = 100 N·s
03

Compare our result with the options

Our calculation gave us a change in momentum of 100 N·s. Compare this result to the options given. The correct answer is: (B) \(100 \mathrm{~N}-\mathrm{S}\)

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Most popular questions from this chapter

The velocity of a body of mass \(20 \mathrm{~kg}\) decrease from $20 \mathrm{~ms}^{-1}\( to \)5 \mathrm{~ms}^{-1}\( in a distance of \)100 \mathrm{~m}$. Force on the body is (A) \(-27.5 \mathrm{~N}\) (B) \(-47.5 \mathrm{~N}\) (C) \(-37.5 \mathrm{~N}\) (D) \(-67.5 \mathrm{~N}\)

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