Question

What is the acceleration of the system in the picture at the right?

A) Need more information
B) 20 m/s²
C) 30 m/s²
D) 50 m/s²

Answer 1

The acceleration of the system depicted can be calculated using the formula for acceleration, which results in an average acceleration of 2 m/s².

Step-by-step explanation:

The acceleration of an object can be calculated by the formula acceleration (a) = Δvelocity (Δv) / time (t). Referring to the information provided, if a velocity increases from 0 to 20 m/s in 10 seconds, the average acceleration can be calculated as follows: a = (20 m/s - 0 m/s) / 10 s = 20 m/s² / 10 s = 2 m/s². Therefore, the acceleration of the system in the picture at the right, based on the options provided, is most likely 2 m/s².

Other provided information includes examples of accelerations at different times, the force required to accelerate a certain mass, and the definition of acceleration units in SI (m/s²). These examples are given to sketch a broader context of the question being asked but are not directly needed to solve the acceleration in the picture presented.

Answer 2

In this case, the acceleration of the system is approximately 3.27 m/s²

None of the given options is correct

Step-by-step explanation:

To determine the acceleration of the system in the picture, we can use the concept of an Atwood's machine. In an Atwood's machine, the acceleration is given by the difference in mass times the acceleration due to gravity, divided by the sum of the masses.

In this case, we have a 10 kg mass (m₁) and a 20 kg mass (m₂). The difference in mass is 20 kg - 10 kg = 10 kg.

The acceleration can be calculated as:

acceleration = (difference in mass * acceleration due to gravity) / (sum of the masses)

Using the values given, with acceleration due to gravity (g) equal to 9.81 m/s², we can calculate the acceleration of the system:

acceleration = (10 kg * 9.81 m/s²) / (10 kg + 20 kg)

acceleration = 98.1 m/s² / 30 kg

acceleration ≈ 3.27 m/s²

Therefore, the acceleration of the system is approximately 3.27 m/s²

None of the given options is correct

Your question is incomplete, but most probably the full question was:

Practice 1-1: Name: Pulleys - Atwood's machine 1. What is the acceleration of the system in the picture at the right? (g = 9.81 m/s) m, 10 kg m 20 kg

A) Need more information

B) 20 m/s²

C) 30 m/s²

D) 50 m/s²