A mouse of mass 5.0 g spots the corner of a peanut butter sandwich of mass 8.0 g left on an ice rink after a game. Excited, the mouse runs out onto the ice, but immediately begins to slide. The mouse reaches the peanut butter sandwich and sinks its teeth in. Both the mouse and peanut butter sandwich continue to slide with a speed of 0.45 m/s. What was the initial speed of the mouse?

The answer to your question is 1.17 m/s

Explanation:

Data

mass of mouse = m1 = 5g

mass of sandwich = m2 = 8 g

initial speed of mouse = U1 = ?

initial speed of sandwich = U2 = 0 m/s

final speed of mouse and sandwich = v = 0.45 m/s

Formula

m1U1 + m2U2 = m1v + m2v

factor v

m1U1 + m2U2 = v (m1 + m2)

Substitution

5U1 + 8 (0) = 0.45 (5 + 8)

Simplification

5U1 = 0.45 (13)

5U1 = 5.85

U1 = 5.85/5

U1 = 1.17 m/s