Which of these is equal to #"1 J"#? Is it #"kg"cdot"m/s"^2#???

Question

#a)# #"kg"cdot"m"^2"/s"^2#
#b)# #"kg"cdot"m""/s"^2#
#c)# #"kg"cdot"m""/s"#
#d)# #"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 "m"^2/"s"^2#,

where #"1 N" = "1 kg"cdot"m"/"s"^2#.

The rest are...

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