A rocket of mass 100,000 kg undergoes an acceleration of 2 m/s2. Show that the net force acting on it is 200,000 N.
Sure, let me do some quick math here... Ah, here we go! So, we know that the mass of the rocket is 100,000 kg, and it undergoes an acceleration of 2 m/s².
Now, remember Newton's second law of motion: F = m * a. Time to plug in our values!
F = (100,000 kg) * (2 m/s²)
F = 200,000 kg·m/s²
And there you have it! The net force acting on the rocket is 200,000 N. But hey, don't worry, I'm sure the rocket won't let it go to its head!
To solve this problem, 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.
Given:
Mass of the rocket (m) = 100,000 kg
Acceleration (a) = 2 m/s^2
According to Newton's second law, the net force (F) acting on the rocket can be calculated using the formula:
F = m * a
Substituting the given values into the formula:
F = 100,000 kg * 2 m/s^2
F = 200,000 kg⋅m/s^2
Since 1 N (Newton) is equal to 1 kg⋅m/s^2, we can convert the unit kg⋅m/s^2 to Newtons (N):
200,000 kg⋅m/s^2 = 200,000 N
Therefore, the net force acting on the rocket is 200,000 N.
To show that the net force acting on the rocket is 200,000 N, 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. Mathematically, the equation is:
net force (F) = mass (m) x acceleration (a)
Given:
Mass of the rocket (m) = 100,000 kg
Acceleration of the rocket (a) = 2 m/s^2
Substituting the given values into the equation, we get:
F = 100,000 kg x 2 m/s^2
Performing the multiplication, we find that the net force acting on the rocket is:
F = 200,000 N
Thus, we have shown that the net force acting on the rocket is 200,000 N.
Use Newton's second law:
F=ma=100000kg * 2 m/s²
= 200000 N