Question

When a net force of 17.0 newtons is applied to a dictionary placed on a frictionless table, it accelerates by 3.75 meters/second2. What is the mass of the book?

Answer 1

Given,

Force applied = 17 N

Acceleration produced = 3.75 m/sec²

To find : Mass of the object = m

Solution:

Simply using the formula,

F = m × a

$= > 17 = m \times 3.75 \\ </u></em></strong><strong><em><u>\\ </u></em></strong><strong><em><u>= > m = \frac{17}{3.75} \\ </u></em></strong><strong><em><u>\\ </u></em></strong><strong><em><u>= > m = \frac{1700}{375} \\</u></em></strong><strong><em><u> </u></em></strong><strong><em><u>\\ </u></em></strong><strong><em><u> = > m = 4.533kg$

Answer 2

Answer:

• Mass of the book (dictionary) = 4.534 kg

Explanation:

Given:

• Force applied to a dictionary, F = 17.0 N
• Dictionary is placed on a frictionless table
• Acceleration produced in the dictionary on applying force, a = 3.75 m/s²

To find:

• Mass of the book (dictionary), m =?

Formula required:

The expression for Newton's second law of motion

• F = m a

Where,

F = force

m = mass

a = acceleration

Solution:

Using the expression for Newton's second law

→ F = m a

→ 17 = m · ( 3.75 )

→ m · ( 3.75 ) = 17

→ m = 17 / 3.75

→ m = 4.534  kg   [Approx.]

Therefore,

• Mass of the dictionary is 4.534 kg, approximately.