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To find the acceleration of an object when an additional force is applied, we can use Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration:

F=m⋅aF = m cdot a

where:

  • FF is the force applied to the object,
  • mm is the mass of the object, and
  • aa is the acceleration.

In this case, we are given:

  • m=10 kgm = 10 , ext{kg} (mass of the object),
  • v=5 m/sv = 5 , ext{m/s} (velocity of the object), and
  • F=20 NF = 20 , ext{N} (additional force applied to the object).

However, we need to convert the force from joules (J) to newtons (N). Force is measured in newtons, not joules. So, we have: F=20 JF = 20 , ext{J}

To calculate the acceleration, we rearrange the formula:

a=Fma = frac{F}{m}

Plugging in the values, we have: a=20 N10 kg=2 m/s2a = frac{20 , ext{N}}{10 , ext{kg}} = 2 , ext{m/s}^2

Therefore, the acceleration of the object is 2 m/s22 , ext{m/s}^2

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