Force and Motion Dynamics

A balloon is filled with air. If the temperature of the air inside the balloon is increased, what happens to the pressure inside the balloon, assuming the volume remains constant?

A sealed metal container holds a fixed amount of gas. The container is placed in a freezer, and the temperature of the gas decreases. Which type of system best describes this scenario?

A rocket launches into space, expelling hot gases. Which type of system is best represented by the rocket and its fuel during the launch?

How does increasing the external pressure on a gas affect its volume, assuming the temperature remains constant?

Three objects are positioned in the xy-plane: a 1 kg mass at (0, 0), a 2 kg mass at (1, 1), and a 3 kg mass at (2, -2). What are the coordinates of the center of mass of this system?

Where is the center of mass of a uniform, solid sphere located?

Consider a biological cell as a complex system. Which of the following best illustrates an emergent property arising from the interactions of its components?

Two masses, $m_1 = 2$ kg and $m_2 = 4$ kg, are located on the x-axis at $x_1 = 1$ m and $x_2 = 3$ m, respectively. Where is the center of mass of this system located?

Under what conditions is it most appropriate to model a complex system, such as a moving car, as a single object?

A perfectly insulated container holds hot water. Over a long period, the water cools slightly. This scenario best represents which type of system?