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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B) -4
5b=6a+16
9a=7b-20
b=(6/5)a+(16/5)
9a=7((6/5)a+(16/5))-20
9a=(42/5)a+12/5
(3/5)a=12/5
a=4
5b=6(4)+16
5b=24+16
5b=40
b=8
3(4)-2(8)
12-16=-4
Answer:
D.
Explanation:
Blue beads are 3 times more likely to be pulled. Therefore, since there are 12 beads in total the ratio which would fit the ratio of probability to pull blue beads compared to black beads would be 9/12 leaving 3/12 probability to pull a black bead. if you simplify the fractions you get 3/4 and 1/4 where 1/4 (the probability to pull a black bead) is three times less than the probability to pull a blue bead.
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Answer: she would receive 39,000 and that is 60% of her incomeExplanation: Now as you can she is making 65,000 per year. So you multiply 65,000 with 60/100. You make 60% into 60/100 because it's a percent and a decimal. Like I was saying if you multiply 65,000 with 60/100 you will get 39,000 which is 60% of her tax income
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