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What is the velocity of a 0.7 kg ball that has a momentum of 1.4 ?​

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Question:

» What is the velocity of a 0.7 kg ball that has a momentum of 1.4 ?

Answer:

  • [tex] \color{hotpink} \bold{2 \: m/s}[/tex]

— — — — — — — — — —

Formula:

  • [tex] \underline{ \boxed{ \tt v = \frac{p}{m}}} [/tex]

where,

  • v is the velocity, measured in m/s
  • p is the momentum, measured in kg•m/s
  • m is the mass, measured in kg

– To calculate the velocity of a momentum, divide the given momentum (in kg•m/s) by mass (in kilograms). The quotient is the velocity in m/s.

Given:

  • A 0.7 kg ball that has a momentum of 1.4

Solution:

– Substitute the given mass and momentum to the formula, then solve.

  • [tex] \tt \: velocity = \frac{momentum}{mass} \\ [/tex]

  • [tex]\tt v = \frac{p}{m} \\ [/tex]

  • [tex]\tt v = \frac{1.4}{0.7} \\ [/tex]

  • [tex]\tt v = \underline{ \boxed{ \blue{ \tt2}}}[/tex]

Hence, the velocity of a 0.7 kg ball that has a momentum of 1.4 is 2 m/s.