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Chapter 1: Problem 78

The SI unit of momentum is ............ (a) \(\mathrm{kg} \times\) newton (b) \(\mathrm{kg} \mathrm{m}^{-2} \mathrm{~s}^{2}\) (c) \(\mathrm{kg} \mathrm{m}^{-1}\) (d) \(\mathrm{kg} \mathrm{ms}^{-1}\)

Short Answer

Expert verified
The SI unit of momentum is \(\mathrm{kg} \mathrm{m\ s^{-1}}\).

Step by step solution

01

1. Recall the formula for momentum

Momentum is the product of an object's mass and its velocity. Mathematically, it can be represented as: \[P = m \times v\] where \(P\) represents momentum, \(m\) is the mass, and \(v\) is the velocity of the object.
02

2. Identify the SI units for mass and velocity

In the International System of Units, the unit for mass is the kilogram (\(\mathrm{kg}\)) and the unit for velocity is meters per second (\(\mathrm{m\ s^{-1}}\)).
03

3. Calculate the SI unit of momentum

Now, we will use the units of mass and velocity to calculate the SI unit of momentum. \[P = m \times v\] \[P = (\mathrm{kg}) \times (\mathrm{m\ s^{-1}})\] \[P = \mathrm{kg} \mathrm{m\ s^{-1}}\] The SI unit of momentum is \(\mathrm{kg} \mathrm{m\ s^{-1}}\) which corresponds to the option (d).

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Most popular questions from this chapter

Equation of \(\ell_{1}=\ell_{0}\left[1+\alpha\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right)\right]\) find out the dimensions of the coefficient of linear expansion \(\alpha\) suffix. (a) \(\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{1} \mathrm{~K}^{1}\) (b) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{1} \mathrm{~K}^{1}\) (c) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{0} \mathrm{~K}^{1}\) (d) \(\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0} \mathrm{~K}^{-1}\)

The resistance \(\mathrm{R}=\mathrm{V} / \mathrm{I}\) where $\mathrm{V}=100 \pm 5\( volts and \)\mathrm{I}=10 \pm 0.3$ amperes calculate the percentage error in \(\mathrm{R}\) (a) \(8 \%\) (b) \(10 \%\) (c) \(12 \%\) (d) \(14 \%\)

Kinetic energy \(\mathrm{K}\) and linear momentum \(\mathrm{P}\) are related as \(\mathrm{K}=\left(\mathrm{P}^{2} / 2 \mathrm{~m}\right) .\) What is the equation of the relative error \(\Delta \mathrm{k} / \mathrm{k}\) in measurement of the \(\mathrm{K} ?\) (mass in constant) (a) \((\mathrm{P} / \Delta \mathrm{P})\) (b) \(2(\Delta \mathrm{P} / \mathrm{P})\) (c) \((\mathrm{P} / 2 \Delta \mathrm{P})\) (d) \(4(\Delta \mathrm{P} / \mathrm{P})\)

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