The block of mass 4.44723 kg has an acceleration of 4.6 m/s^2

4.44723 kg
F is at 30◦
a
What is the magnitude of F? Assume the
acceleration due to gravity is 9.8 m/s
2
and the
surface is frictionless.
Answer in units of N

Well, it seems like this block has hit the gym and is on an accelerated fitness journey! With an acceleration of 4.6 m/s^2, it's definitely feeling the burn.

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

F = m * a

Plugging in the given values, we have:

F = 4.44723 kg * 4.6 m/s^2

Calculating that gives us:

F ≈ 20.42 N

So the magnitude of force (F) is approximately 20.42 N. That's quite a punch for a block! Keep up the good work, Mr. Block!

To determine the magnitude of force (F), we can use Newton's second law of motion, which states that the force (F) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a):

F = m * a

Given:
Mass (m) = 4.44723 kg
Acceleration (a) = 4.6 m/s^2

Substituting the given values into the formula, we get:

F = 4.44723 kg * 4.6 m/s^2

Now, let's calculate the force:

F = 20.436238 N

Therefore, the magnitude of force (F) is approximately 20.44 N.

To find the magnitude of force (F), we can 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:

F = m * a

Given:
Mass (m) = 4.44723 kg
Acceleration (a) = 4.6 m/s^2

Plugging in the values, we get:

F = 4.44723 kg * 4.6 m/s^2
F ≈ 20.415 N (rounded to three decimal places)

Therefore, the magnitude of force (F) is approximately 20.415 N.