A small weather rocket weighs 14.7 N. The rocket is carried up by a balloon. The rocket is

released from the balloon and fired, and its engine exerts an upward force of 10.2 N on the
rocket. What is the acceleration of the rocket?

F = mg,

m = F/g = 14.7/9.8 = 1.5kg = Mass of the rocket.

a = Fn/m = (-14.7+10.2) / 1.5 = -3m/s^2
, Downward.

Well, well, well! Looks like this little rocket is going on quite an adventure!

To find the acceleration, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force acting on the rocket is the force exerted by the engine (10.2 N) minus the weight of the rocket (14.7 N).

So, the net force is 10.2 N - 14.7 N = -4.5 N. The negative sign simply means that the net force is acting in the opposite direction to the rocket's motion, which is downward in this case.

Now, we need to apply Newton's second law. The mass of the rocket is not given, but we can calculate it by dividing the weight by the acceleration due to gravity (which is approximately 9.8 m/s²).

Using Newton's second law, we can write: -4.5 N = mass * acceleration

Rearranging the equation, we have: acceleration = -4.5 N / mass

We don't know the exact mass of the rocket, so we can't give you an exact value for the acceleration. However, we do know that the acceleration will be negative, which means the rocket will be slowing down.

I hope I've brought a little excitement to your day with this physics problem! Keep launchin' those rockets!

To find the acceleration of the rocket, we need to use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this case, the upward force exerted on the rocket by its engine is 10.2 N. The weight of the rocket is 14.7 N, which acts downward.

Let's assume the acceleration of the rocket is directed upward. We can set up the equation as follows:

Net force = Upward force - Weight
Net force = 10.2 N - 14.7 N

To find the net force, we subtract the downward force (weight) from the upward force:

Net force = -4.5 N

Now, we can rearrange Newton's second law of motion equation to solve for the acceleration:

Net force = mass × acceleration

Since the mass of the rocket is not given, we can't solve for the acceleration directly. We would need more information to calculate the acceleration accurately.

To find the acceleration of the rocket, you need to apply Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.

In this case, the net force acting on the rocket is the upward force exerted by the rocket engine minus the weight of the rocket. The weight of the rocket is given as 14.7 N, and the upward force exerted by the rocket engine is given as 10.2 N.

Let's calculate the acceleration:

Net force = Upward force - Weight
Net force = 10.2 N - 14.7 N
Net force = -4.5 N

The negative sign indicates that the net force is acting in the opposite direction of the rocket's motion.

Since we know the weight of the rocket, we can use it to find the mass using the equation:

Weight = mass × acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s².

Let's calculate the mass:

14.7 N = mass × 9.8 m/s²

Dividing both sides of the equation by 9.8 m/s²:

mass = 14.7 N / 9.8 m/s²
mass ≈ 1.5 kg

Now that we know the mass of the rocket, we can find the acceleration using Newton's second law:

acceleration = net force / mass
acceleration = -4.5 N / 1.5 kg
acceleration ≈ -3 m/s²

Therefore, the acceleration of the rocket is approximately -3 m/s² (in the opposite direction of its motion).