A model rocket has a mass of 0.2 kg, with a motor that can provide a force of 100 N. A second model rocket is being built with the same motor, but it is being designed to accelerate half as much as the first rocket. What kind of change can be made in the design to achieve this objective? (1 point)

To determine the appropriate mass for the second model rocket to achieve half the acceleration of the first rocket, we can use Newton's second law of motion, which states that \( F = m \cdot a \), where \( F \) is the force applied, \( m \) is the mass, and \( a \) is the acceleration.

For the first rocket:

• Mass \( m_1 = 0.2 , \text{kg} \)
• Force \( F = 100 , \text{N} \)

We can calculate the acceleration \( a_1 \) of the first rocket: \[ a_1 = \frac{F}{m_1} = \frac{100 , \text{N}}{0.2 , \text{kg}} = 500 , \text{m/s}^2 \]

To achieve half the acceleration for the second rocket, the target acceleration \( a_2 \) is: \[ a_2 = \frac{a_1}{2} = \frac{500 , \text{m/s}^2}{2} = 250 , \text{m/s}^2 \]

Now we can rearrange Newton's second law for the second rocket, which has the same force \( F \): \[ a_2 = \frac{F}{m_2} \] Solving for the mass \( m_2 \): \[ m_2 = \frac{F}{a_2} = \frac{100 , \text{N}}{250 , \text{m/s}^2} = 0.4 , \text{kg} \]

Thus, to achieve half the acceleration of the first rocket, the mass of the second rocket should be 0.4 kg.

The correct response is: The mass of the second rocket should be 0.4 kg.