A small weather rocket weighs 15.5 N. The rocket is carried up by the balloon. The rocket is released from the balloon and fired, but its engine exerts an upward force of 11.0 N. What is the acceleration of the rocket?
thrust=ma+mg
Hmmmm. So the upward force is less than the pull of gravity, meaning a is downward.
11=15.5/9,8 a + 15.5
a= 4.5*g/15.5 downward.
Yes if the upward force is less than gravitythen the acceleration would be downward, but it wouldn't be negative as it's not a deacceleration. :)
Devon :
a = F / m
Effective F = upward force - downward force (weight)
= 11- 15.5
= 4.5 downward
a = 4.5/ (15.5/9.8)
= 2.8 m/s downwards.
(I'm pretty sure anyway)
To find the acceleration of the rocket, we need to use Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
1. First, we need to determine the net force acting on the rocket. The net force is calculated by subtracting the downward force of gravity from the upward force exerted by the rocket's engine.
Force net = Force engine - Force gravity
The upward force exerted by the rocket's engine is 11.0 N, and the weight of the rocket (which is the force of gravity acting on it) is 15.5 N. Note that weight is given by the equation:
Force gravity = mass × gravitational acceleration
On Earth, the gravitational acceleration is approximately 9.8 m/s^2.
Substituting the known values into the equation, we have:
Force gravity = mass × 9.8
2. Next, we need to find the mass of the rocket. We can determine the mass using the equation:
mass = weight / gravitational acceleration
Substituting the values we have:
mass = 15.5 N / 9.8 m/s^2
3. Now that we have the mass, we can find the net force acting on the rocket:
Force net = 11.0 N - (mass × 9.8 m/s^2)
4. Finally, we can calculate the acceleration using Newton's second law:
Force net = mass × acceleration
Rearranging the equation to solve for acceleration:
acceleration = Force net / mass
Substituting the values we have:
acceleration = (11.0 N - (mass × 9.8 m/s^2)) / mass
Plug in the values for the mass, as calculated in step 2. This will give you the acceleration of the rocket.