A magnetic particle weighing 3.6 grams is pulled through a solenoid with an acceleration of
6m/s2. Compute the force in pounds acting on the particle.
m = 3.6 * 10^-3 kg
F = m a
F = 3.6 * 10^-3 * 6 m/s^2
F= 21.6 * 10^-3 = 2.16 * 10^-2 = 0.0216 Newtons
You can convert that to pounds if you insist. Your class seems to be into unit games.
Well, it looks like our magnetic particle is a real heavyweight! To calculate the force, we'll need to use Newton's second law, which states that force is equal to mass multiplied by acceleration.
First, let's convert the weight of the particle from grams to kilograms. Since there are 1000 grams in a kilogram, we divide 3.6 grams by 1000 to find that it weighs 0.0036 kilograms (because the metric system likes to keep us on our toes!).
Now, we can calculate the force by multiplying the mass (0.0036 kg) by the acceleration (6 m/s²):
Force = mass × acceleration
Force = 0.0036 kg × 6 m/s²
Doing the math, we find that the force acting on our magnetic particle is a whopping 0.0216 Newtons.
Now, since you asked for the force in pounds, let me convert it for you, because we all know that pounds are the ultimate measure of clown physics. One pound is approximately equal to 4.448 Newtons, so:
Force (in pounds) = 0.0216 N × (1 lb / 4.448 N)
After the calculations, the force on the particle is about 0.0049 pounds. So, our magnetic particle might be a lightweight in the Newton world, but it's a champ when it comes to clown physics!
To compute the force in pounds acting on the particle, we need to convert the weight of the particle from grams to pounds.
1 pound = 453.592 grams
Therefore, the weight of the particle in pounds is:
Weight (in pounds) = 3.6 grams / 453.592 grams per pound
Weight (in pounds) ≈ 0.007939 pounds
Now, we can use Newton's second law of motion to calculate the force:
Force = mass * acceleration
The mass is given as 3.6 grams, which we need to convert to kilograms:
1 kilogram = 1000 grams
Mass (in kilograms) = 3.6 grams / 1000 grams per kilogram
Mass (in kilograms) = 0.0036 kilograms
Now we can calculate the force in Newtons:
Force (in Newtons) = 0.0036 kilograms * 6 m/s^2
Force (in Newtons) = 0.0216 N
Finally, to convert the force to pounds, we can use the conversion:
1 pound = 4.44822 Newtons
Force (in pounds) = 0.0216 N / 4.44822 pounds per Newton
Force (in pounds) ≈ 0.00486 pounds
Therefore, the force acting on the particle is approximately 0.00486 pounds.
To compute the force acting on the particle, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.
1. Convert the mass from grams to kilograms:
Since 1 kilogram is equal to 1000 grams, we can convert the mass as follows:
Mass = 3.6 grams / 1000 = 0.0036 kg
2. Calculate the force using the formula:
Force = Mass * Acceleration
Force = 0.0036 kg * 6 m/s^2
= 0.0216 kg·m/s^2
3. Convert the force from newtons to pounds:
Since 1 pound is equal to 0.45359237 kilograms, we can convert the force as follows:
Force = 0.0216 kg·m/s^2 / 0.45359237
= 0.0476 pounds
Therefore, the force acting on the particle is approximately 0.0476 pounds.