After a 69.5 kg parachutist opens her parachute, she experiences a constant drag force of 307 N. What is the magnitude of her acceleration at that point?
Well, well, well, looks like we have a parachuting dilemma here! Let's calculate the magnitude of her acceleration, shall we?
Now, we know that the drag force experienced by our brave parachutist is a whopping 307 N. Considering the parachute slows her down, we can assume this force is in the opposite direction of her motion.
So, if we apply Newton's second law (F = m * a), where F is the drag force and m is the mass of our skydiver (69.5 kg), we can solve for a, the magnificent magnitude of her acceleration:
307 N = 69.5 kg * a
Now, let's do some math magic! Dividing both sides of the equation by her mass:
a = 307 N / 69.5 kg
And voila! The magnitude of her acceleration is approximately 4.42 m/s^2. Keep calm and parachute on!
To calculate the magnitude of the acceleration, we can use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = m * a).
Given:
- Mass (m) of the parachutist = 69.5 kg
- Drag force (F) experienced by the parachutist = 307 N
Using Newton's second law, we can rearrange the formula to solve for acceleration (a):
a = F / m
Substituting the given values:
a = 307 N / 69.5 kg
Now, we can calculate the magnitude of the acceleration:
a ≈ 4.42 m/s²
Therefore, the magnitude of the parachutist's acceleration at that point is approximately 4.42 m/s².
To find the magnitude of the parachutist's acceleration, 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).
In this case, the force acting on the parachutist is the drag force, which is given as 307 N. The mass of the parachutist is 69.5 kg. We can substitute these values into the equation to find the acceleration:
F = m * a
307 N = 69.5 kg * a
To solve for a, we divide both sides of the equation by the mass of the parachutist:
a = 307 N / 69.5 kg
Using a calculator, we can evaluate this expression to find the value of acceleration.
a ≈ 4.42 m/s²
Therefore, the magnitude of the parachutist's acceleration is approximately 4.42 m/s².