Respuesta :

Answer:

The acceleration of a boat if the resultant force on it is 4000 N and its mass is 1240 kg is 3.2 m/s².

Explanation:

Given

  • Force F = 4000 N
  • Mass m = 1240 kg

To determine

Acceleration a = ?

Important Tip:

  • The acceleration of a boat can be found using the formula F = ma

Using the formula

[tex]F = ma[/tex]

where

  • F is the force (N)
  • m is the mass (kg)
  • a is the acceleration (m/s²)

now substituting F = 4000, m = 1240 in the formula

[tex]F = ma[/tex]

[tex]4000\:=\:1240\:\times a[/tex]

Switch sides

[tex]1240a=4000[/tex]

Divide both sides by 1240

[tex]\frac{1240a}{1240}=\frac{4000}{1240}[/tex]

Simplify

[tex]a=\frac{100}{31}[/tex]

[tex]a=3.2[/tex] m/s²

Therefore, the acceleration of a boat if the resultant force on it is 4000 N and its mass is 1240 kg is 3.2 m/s².

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