Question

why is 0.08 x -0.1 = -0.008 ? when I multiply 0.08 x -0.1 i gives me -0.02 Please confirm the calculations,AnswerGiven:•Mass of marble A, m1 = 0.08 kg•Mass of marble B, m2 = 0.05 kg•Velocity of marble A before collision(initial velocity of marble A), u1 = 0.5 m/s•Velocity of marble A after collision(final velocity of marble A), v1 = -0.1 m/sLet's find the resulting velocity of marble B after the collision.Since there is no force on the system, let's make use of momentum conservation.formula:m1u1+m2u2=m1v1+m2v2Here, the resulting velocity for marble B is v2.Let's rewrite the formula for v2.We have:v2=m1u1+m2u2−m1v1 m2m1 = 0.08 kgm2 = 0.05 kgu1 = 0.5 m/su2 is the initial velocity of marble B = 0 m/sv1 = -0.1 m/sHence, we have:v2=(0.08∗0.5)+(0.05∗0)+(0.08∗−0.1) 0.05v2=(0.04)+(0)+(−0.008) 0.05v2=0.04−0.0080.05v2=0.0480.05v2=0.96 m/sTherefore, the resulting velocity of marble B after the collision is 0.96 m/s.

Answer 1

(a). Give data:

* The mass of the marble A is m1 = 0.08 kg

* The mass of marble B is m2 = 0.05 kg

* The initial velocity of m1 is u1 = 0.5 m/s

* The initial velocity of m2 is u2 = 0 m/s

* The final velocity of m1 is v1 = -0.1 m/s

According to the law of conservation of momentum,

`\begin{gathered} m_1u_1+m_2u_2=m_1v_1+m_2v_2 \\ m_1u_1+m_2u_2-m_1v_1=m_2v_2 \\ ((m_1u_1+m_2u_2-m_1v_1))/(m_2)=v_2 \end{gathered}`

where v2 is the final velocity of the marble B,

Substituting the known values,

`\begin{gathered} ((0.08*0.5)+(0.05*0)-(0.08*(-0.1)))/(0.05)=_{}v_(_2) \\ (0.04+0+0.008)/(0.05)=v_2_{}_{}_{} \\ (0.04+0.008)/(0.05)=v_2 \\ (0.048)/(0.05)=v_2 \end{gathered}`

Thus, the final velocity of the marble B is,

`\begin{gathered} v_2=(0.048)/(0.05) \\ v_2=0.96ms^(-1) \end{gathered}`

Thus, the value of the velocity of the marble B is 0.96 meters per second.

(b). The multiplication of terms 0.08 and -0.1 is,

The term 0.08 can be written as,

`0.08=(8)/(100)`

The term -0.1 can be written as,

`-0.1=(-1)/(10)`

Thus, the multiplication of 0.08 with -0.1 is,

`\begin{gathered} 0.08*(-0.1)=(8)/(100)*(-(1)/(10)) \\ =-((8)/(100)*(1)/(10)) \\ =-(8)/(1000) \\ =-0.008 \end{gathered}`

Thus, the multiplication of 0.08 with -0.1 is -0.008.