a hot air ballon rises from the ground with a uniform acceleration. after 10 seconds the ballon has attained a height of 25 metres. if the total mass of ballon and its bucket is 250 kg, find the magnitude of the force f

To find the magnitude of the force (F), we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma).

In this case, we need to find the acceleration of the balloon.

Since the balloon rises from the ground with a uniform acceleration, we can use the equation of motion: s = ut + 1/2 at^2, where "s" represents the displacement, "u" represents the initial velocity, "a" represents the acceleration, and "t" represents time.

Given that the displacement (s) is 25 meters and the time (t) is 10 seconds, we can substitute these values into the equation:

25 = u(10) + 1/2 a(10^2)
25 = 10u + 50a

Now, let's consider the forces acting on the hot air balloon. We have the force of gravity (weight), which is equal to the mass of the balloon and its bucket multiplied by the acceleration due to gravity (9.8 m/s^2).

Weight = (mass of balloon + mass of bucket) * acceleration due to gravity
= (250 kg) * (9.8 m/s^2)
= 2450 N

According to Newton's second law, the net force acting on the hot air balloon is equal to the weight of the balloon and the bucket.

Net Force (F) = Weight
= 2450 N

Therefore, the magnitude of the force (F) is 2450 Newtons.