Answer: The constant of proportionality that relates the number of cups with x and the number of cookies with y is 16
The given parameters are:
Cups (x) = 3
Cookies (y) = 48
Represent the number of cups with x and the number of cookies with y.
So, the constant of proportionality (k) is calculated using:
The above equation becomes
Divide 48 by 3
Hence, the constant of proportionality is 16
Explanation:
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Answer:
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Explanation:
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Answer:
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Explanation:
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Answer: Twice the previous time would be taken to reach the same speed v with the puck of mass 2m.
Explanation:
Let a Force pushes the hockey puck of mass m.
Then acceleration, a= \frac{F}{m}a=mF
From the equation of motion,
\begin{gathered}\➪ v=u+at\\ v=0+\frac{F}{m}\Delta t\end{gathered}⇒v=u+atv=0+mFΔt ......(1)
In the second case, when mass is 2m, then acceleration,
a'=\frac{F}{2m}a′=2mF
and t' is the time taken.
The final speed is v,
\begin{gathered}\➪ v=0+ a't'\\ \➪ \frac {F}{m}\Delta t=\frac{F}{2m}t'\\ \➪ t'= 2\Delta t\end{gathered}⇒v=0+a′t′⇒mFΔt=2mFt′⇒t′=2Δt using equation (1)
Hence, it would take two times the previous amount of time to push the pluck of double mass.
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