a small weather rocket weighs 20.5 N. The rocket is carried up into the air by a balloon. The rocket is released from the balloon and fired. What is the acceleration of the rocket if an upward force of 25 N is applied?

Net force = force up - force down.

force down is its weight, and force up is 25N. Once you know net force, you can get acceleration.

475pa

To find the acceleration of the rocket, we first need to calculate the net force acting on it. The equation for net force is:

Net Force = Force Up - Force Down

In this case, the force up is given as 25 N. To calculate the force down, we need to use the weight of the rocket. Weight is the force of gravity acting on an object and can be calculated using the formula:

Weight = Mass x Acceleration due to Gravity

Given that the weight is 20.5 N, we can rearrange the formula to solve for the mass of the rocket:

Mass = Weight / Acceleration due to Gravity

The standard acceleration due to gravity on Earth is approximately 9.8 m/s^2.

Let's plug in the values to calculate the mass:

Mass = 20.5 N / 9.8 m/s^2
Mass ≈ 2.09 kg

Now that we know the mass of the rocket, we can calculate the force down:

Force Down = Mass x Acceleration due to Gravity
Force Down = 2.09 kg x 9.8 m/s^2
Force Down ≈ 20.47 N

Now we have both the force up (25 N) and the force down (20.47 N). To find the net force, we subtract the force down from the force up:

Net Force = Force Up - Force Down
Net Force = 25 N - 20.47 N
Net Force ≈ 4.53 N

Finally, we can calculate the acceleration using Newton's second law of motion:

Net Force = Mass x Acceleration

Rearranging the formula to solve for acceleration:

Acceleration = Net Force / Mass

Plugging in the values:

Acceleration = 4.53 N / 2.09 kg
Acceleration ≈ 2.17 m/s^2

Therefore, the acceleration of the rocket when an upward force of 25 N is applied is approximately 2.17 m/s^2.