If Mrs. Hankinson slides a 500 g book with 0.5 N of force, what is the acceleration of the book?

F = ma

a
0.001 m/s2
b
500 m/s2

c
250 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, and
  • \( a \) is the acceleration.

We need to rearrange this formula to solve for \( a \):

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

Given:

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

Now plug in the values:

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

None of the options provided match this computed value. Therefore, based on the calculations, the acceleration of the book is \( 1 , \text{m/s}^2 \). If you have to choose from the options provided, none are correct based on the problem statement and calculations.