Question

if the system mass is [var:m_sys] grams and the mass of the disks hanging on the string is [var:m_hang] grams, predict the acceleration.

Answer 1

To predict the acceleration of the system, use the formula a = (m1 - m2) / m_sys, where m1 is the mass of the system, m2 is the mass of the disks, and m_sys is the total mass of the system.

Step-by-step explanation:

To predict the acceleration of the system, we need to consider the mass of both the system and the disks hanging on the string. The formula to calculate acceleration is given by a = (m1 - m2) / m_sys, where m1 is the mass of the system and m2 is the mass of the disks. Let's plug in the values: a = ([var:m_sys] - [var:m_hang]) / [var:m_sys].

For example, if the system mass is 100 grams and the mass of the disks hanging on the string is 20 grams, the acceleration would be: a = (100 - 20) / 100 = 0.8 m/s².

Answer 2

The acceleration of the system due to the hanging mass is determined as 1.63 m/s².

How to calculate the acceleration of the system?

The acceleration of the system is calculated by applying Newton's second law of motion as follows.

F(net) = ma

where;

• m is the mass of the system
• a is the acceleration of the system

T = m₁g

where;

• m₁ is the mass hanging on the string
• g is acceleration due to gravity

The tension in the string is calculated as follows;

T = 0.1 kg x 9.8 m/s²

T = 0.98 N

The acceleration of the system is calculated as follows;

T = ma

a = T / m

a = 0.98 N / 0.6 kg

a = 1.63 m/s²

The complete question is below:

If the system mass is 600 grams and the mass of the disks hanging on the string is 100 grams, predict the acceleration. m/s²