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
1000 m/s2

c
500 m/s2

d
250 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 (in newtons),
  • \( m \) is the mass (in kilograms),
  • \( a \) is the acceleration (in meters per second squared).

Given:

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

We can rearrange the equation to solve for acceleration \( a \):

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

Now substitute in the values:

\[ a = \frac{0.5 , \text{N}}{0.5 , \text{kg}} \]

\[ a = 1 , \text{m/s}^2 \]

None of the options provided match this calculated value. If the intended options are incorrect, you can safely conclude that the acceleration of the book is \( 1 , \text{m/s}^2 \).