Respuesta :

Answer:

The object will travel at the speed of 16 m/s.

Explanation:

Given

  • Mass m = 4.0 kg
  • Momentum p = 64 kgm/s

To determine

How fast is the object traveling?

Important Tip:

The product of the mass and velocity of an object —  momentum.

Using the formula

[tex]p = mv[/tex]

where

  • m = mass
  • v = velcity
  • p = momentum

Thus, in order to determine the speed of the object, all we need to do is to substitute p = 64 and m = 4 in the formula

[tex]p = mv[/tex]

[tex]64\:=\:4\times v[/tex]

switch the equation

[tex]\:4\times \:v\:=64[/tex]

divide both sides by 4

[tex]\frac{4v}{4}=\frac{64}{4}[/tex]

simplify

[tex]v=16[/tex] m/s

Therefore, the object will travel at the speed of 16 m/s.