If Mrs. Hankinson slides a 500 g book with 0.5 N of force, what is the acceleration of the book? F = ma a 500 m/s2 b 250 m/s2 c 0.001 m/s2 d 1000 m/s2

1 answer

To find the acceleration of the book, we can use Newton's second law of motion, which states:

\[ F = ma \]

Where:

  • \( F \) is the force applied,
  • \( m \) is the mass of the object,
  • \( a \) is the acceleration.

Given:

  • The force \( F = 0.5 , \text{N} \)
  • The mass \( m = 500 , \text{g} = 0.5 , \text{kg} \) (since 1 kg = 1000 g)

Now, we can rearrange the equation to solve for acceleration \( a \):

\[ a = \frac{F}{m} \]

Substituting the values:

\[ a = \frac{0.5 , \text{N}}{0.5 , \text{kg}} = 1 , \text{m/s}^2 \]

None of the options you provided (a, b, c, or d) matches the calculated acceleration of \( 1 , \text{m/s}^2 \). If you have to choose from the given answers, please double-check any other contextual information or units provided in the problem or choices. However, based on the information given, the correct answer is \( 1 , \text{m/s}^2 \).