Question

Um carro durante um trajeto de 50m sofre um aumento de velocidade de 10m/s para 40m/s. Sabendo que a massa do veículo somada a massa de seus ocupantes corresponde a 1000Kg, determine a força necessária para proporcionar tal aceleração.

Answer 1

V²=Vo²+2a∆s
40²=10²+2.a.50
1600=100+100a
1500=100a
a=15m/s²

F=1000.15
F=15000N

Answer 2

$\Large\displaystyle\text{ \begin{gathered} \hookrightarrow\boxed{\boxed{\bf F_R=15000~N}}\end{gathered} }$

• Explicação:

$\Large\displaystyle\text{ \begin{gathered} \sf{ v {}^{2} = v _{0} {}^{2} + 2 \cdot a \cdot \Delta s } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ 40 {}^{2} = 10 {}^{2} + 2 \cdot a \cdot50 } \end{gathered} }$

$\Large\displaystyle\begin{gathered} \sf{ 1600 = 100 + 100 \cdot a } \end{gathered}$

$\Large\displaystyle\begin{gathered} \sf{ 100 \cdot a = 1600 - 100 } \end{gathered}$

$\Large\displaystyle\begin{gathered} \sf{ 100 \cdot a = 1500 } \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \sf{ a = \frac{1500}{100} } \end{gathered} }$

$\Large\displaystyle\begin{gathered} \sf{ a = 15\,m/s^2 } \end{gathered}$

$\Large\displaystyle\begin{gathered} \sf{F_R = m \cdot a } \end{gathered}$

$\Large\displaystyle\begin{gathered} \sf{F_R = 1000 \cdot 15 } \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \boxed{ \boxed{\sf{F_R = 15000 \: N }}} \end{gathered} }$