Question

ᴡʜᴀᴛ ᴀʀᴇ ᴛʜᴇ ᴅɪᴍᴇɴsɪᴏɴs ᴏғ a ᴀɴᴅ b ɪɴ ᴛʜᴇ ʀᴇʟᴀᴛɪᴏɴ F=a√x+bt² ᴡʜᴇʀᴇ F ɪs ғᴏʀᴄᴇ, x ɪs ᴅɪsᴛᴀɴᴄᴇ ᴀɴᴅ t ɪs ᴛɪᴍᴇ?


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Answer 1

Answer:

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Answer 2

Explanation:

[MLT−3]and[MLT−4]

Given that F=at+bt2 where t is time.

For this equation to be dimensionally correct, the each term in the right hand side should have the dimensions of F

Dimensional formula of F=[MLT−2]

⟹aT=[MLT−2]

⟹ Dimension of a is [MLT−3]

and

⟹bT2=[MLT−2]

⟹ Dimension of b is [MLT−4]

$#aswad$