A model rocket has a mass of 0.435 kg. It is mounted vertically and launches directly up with a thrust force of 13.1 N.

a) What is the weight of the rocket?
b) Determine the net force on the rocket as it is launched.
c) What is the acceleration of the rocket at lift-off?

weight= mass*g=.435*9.8 N

net force= thrust-weight
acceleration= net force/mass

a) The weight of the rocket can be calculated using the equation W = mg, where m is the mass of the rocket and g is the acceleration due to gravity (approximately 9.8 m/s^2). So, W = (0.435 kg)(9.8 m/s^2) = 4.263 kg·m/s^2. But let's not weigh too heavily on this matter, as rockets are supposed to be weightless in space!

b) The net force on the rocket is the total sum of all forces acting on it. In this case, the only force acting on the rocket is the thrust force of 13.1 N. Therefore, the net force on the rocket is 13.1 N. It looks like this rocket has no forceful competition!

c) The acceleration of the rocket at lift-off can be determined using Newton's second law of motion, F = ma, where F is the net force and m is the mass of the rocket. In this case, the net force is 13.1 N and the mass is 0.435 kg. So, a = (13.1 N)/(0.435 kg) = 30.115 m/s^2. This rocket is really pushing for a fast start!

To answer these questions, we need to make use of Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma).

a) The weight of the rocket can be calculated using the formula W = mg, where W represents weight, m represents mass, and g represents the acceleration due to gravity (which is approximately 9.8 m/s² on Earth).

Plugging in the given values, the weight of the rocket is:

W = (0.435 kg)(9.8 m/s²) = 4.263 kg·m/s² or 4.263 N

b) The net force acting on the rocket can be calculated by subtracting the weight from the thrust force:

Net force = Thrust force - Weight
Net force = 13.1 N - 4.263 N
Net force = 8.837 N

c) The acceleration of the rocket at lift-off can be determined by rearranging the formula F = ma to solve for acceleration:

F = ma
a = F/m

Plugging in the given values, the acceleration of the rocket at lift-off is:

a = (8.837 N)/(0.435 kg)
a = 20.3 m/s²

Therefore:
a) The weight of the rocket is 4.263 N.
b) The net force on the rocket as it is launched is 8.837 N.
c) The acceleration of the rocket at lift-off is 20.3 m/s².

To answer these questions, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. We can also use the definition of weight, which states that weight is equal to mass multiplied by the acceleration due to gravity.

a) To determine the weight of the rocket, we need to calculate the force of gravity acting on it. The force of gravity can be found by multiplying the mass of the rocket (0.435 kg) by the acceleration due to gravity (9.8 m/s^2). Using this formula, we can find the weight:

Weight = mass x acceleration due to gravity
Weight = 0.435 kg x 9.8 m/s^2

b) The net force on the rocket can be calculated using Newton's second law of motion. We know the thrust force acting on the rocket (13.1 N), and we can subtract the force of gravity (weight) to find the net force:

Net force = Thrust force - Weight

c) The acceleration of the rocket at lift-off can be calculated using Newton's second law of motion. We know the net force acting on the rocket, and we can divide it by the mass of the rocket to find the acceleration:

Acceleration = Net force / mass

To get the final answer, we need to plug in the given values into the equations and perform the calculations.