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4. this dog weighs 18 kg. calculate the amount of force it would take t…

Question

  1. this dog weighs 18 kg. calculate the amount of force it would take to to lift the dog.
  2. this stack of books weighs 8 kg. calculate the amount of force that the man has to exert to lift the books.

Explanation:

Step1: Identify the formula

The force \(F\) required to lift an object is given by \(F = mg\), where \(m\) is the mass and \(g\) is the acceleration due to gravity (\(g = 9.8\ m/s^{2}\)).

Step2: Calculate force for the dog

For the dog with \(m_1=18\ kg\), \(F_1=m_1g\). Substitute \(m_1 = 18\ kg\) and \(g = 9.8\ m/s^{2}\) into the formula: \(F_1=18\times9.8 = 176.4\ N\).

Step3: Calculate force for the books

For the stack of books with \(m_2 = 8\ kg\), \(F_2=m_2g\). Substitute \(m_2=8\ kg\) and \(g = 9.8\ m/s^{2}\) into the formula: \(F_2=8\times9.8=78.4\ N\).

Answer:

The force to lift the dog is \(176.4\ N\). The force to lift the books is \(78.4\ N\).