Which of these is equal to $1 J$ $"1 J"$ ? Is it $kg \cdot {m/s}^{2}$ $"kg"cdot"m/s"^2$ ???

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Which of these is equal to $1 J$ $"1 J"$ ? Is it $kg \cdot {m/s}^{2}$ $"kg"cdot"m/s"^2$ ???

$a)$ $a)$ $kg \cdot m^{2} {/s}^{2}$ $"kg"cdot"m"^2"/s"^2$
$b)$ $b)$ $kg \cdot m {/s}^{2}$ $"kg"cdot"m""/s"^2$
$c)$ $c)$ $kg \cdot m /s$ $"kg"cdot"m""/s"$
$d)$ $d)$ $kg \cdot m^{2} /s$ $"kg"cdot"m"^2"/s"$

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Answer 1 · 2017-05-30T09:13:01

No. Only the first one is correct.

$1 J = 1 N \cdot m = 1 kg \cdot \frac{m^{2}}{s^{2}}$ $"1 J" = "1 N"cdot"m" ="1 kg" cdot "m"^2/"s"^2$ ,

where $1 N = 1 kg \cdot \frac{m}{s^{2}}$ $"1 N" = "1 kg"cdot"m"/"s"^2$ .

The rest are...

$b)$ $b)$ $kg \cdot {m/s}^{2} = force$ $"kg"cdot"m/s"^2 = "force"$ ( $N$ $"N"$ , Newtons)
$c)$ $c)$ $kg \cdot m/s = momentum$ $"kg"cdot"m/s" = "momentum"$
$d)$ $d)$ $kg \cdot m^{2} /s = J \cdot s$ $"kg"cdot"m"^2"/s" = "J"cdot"s"$ (Planck's constant)

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Which of these is equal to $1 J$ $"1 J"$ ? Is it $kg \cdot {m/s}^{2}$ $"kg"cdot"m/s"^2$ ???

$a)$ $a)$ $kg \cdot m^{2} {/s}^{2}$ $"kg"cdot"m"^2"/s"^2$
$b)$ $b)$ $kg \cdot m {/s}^{2}$ $"kg"cdot"m""/s"^2$
$c)$ $c)$ $kg \cdot m /s$ $"kg"cdot"m""/s"$
$d)$ $d)$ $kg \cdot m^{2} /s$ $"kg"cdot"m"^2"/s"$

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a)a) kg⋅m2/s2"kg"cdot"m"^2"/s"^2 b)b) kg⋅m/s2"kg"cdot"m""/s"^2 c)c) kg⋅m/s"kg"cdot"m""/s" d)d) kg⋅m2/s"kg"cdot"m"^2"/s"

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Which of these is equal to $1 J$ $"1 J"$ ? Is it $kg \cdot {m/s}^{2}$ $"kg"cdot"m/s"^2$ ???

$a)$ $a)$ $kg \cdot m^{2} {/s}^{2}$ $"kg"cdot"m"^2"/s"^2$
$b)$ $b)$ $kg \cdot m {/s}^{2}$ $"kg"cdot"m""/s"^2$
$c)$ $c)$ $kg \cdot m /s$ $"kg"cdot"m""/s"$
$d)$ $d)$ $kg \cdot m^{2} /s$ $"kg"cdot"m"^2"/s"$