Question

Find the acceleration of the stack of books pictured below if the stack has a total mass of 1.5kg

Answer 1

Answer:

$2.0 m/s^2$

Explanation:

The figure is not provided and we don't know the force applied to the books.

Therefore, here we are going to assume the force applied is 3 N:

F = 3 N

We can find the acceleration of the stack of books by using Newton's second law of motion, which states that the net force on an object is equal to the product between its mass and its acceleration:

$F=ma$

where

F is the force

m is the mass

a is the acceleration

In this problem we have

m = 1.5 kg is the mass of the books

Therefore, the acceleration is:

$a=\frac{F}{m}=\frac{3.0}{1.5}=2.0 m/s^2$

Answer 2

The acceleration of the stack of books in the pictured below with the given total mass is 4m/s².

Given the data in the question;

• Total mass; $m_t = 1.5kg$

From the picture below

• Total force; $F = 3N + 2N + 1N = 6N$

Acceleration; $a = \ ?$

To determine the acceleration of the stacked books, we use Newton's Second Law of Motion:

$F = m * a$

Where m is mass of the object and a is the acceleration.

We substitute or values into the equation

$6N = 1.5kg * a\\\\6kgm/s^2 = 1.5kg * a\\\\a = \frac{6kgm/s^2 }{1.5kg }\\\\a = 4m/s^2$

Therefore, the acceleration of the stack of books in the pictured below with the given total mass is 4m/s².

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