You are working at a garden centre for the summer. You lift a bag of fertilizer with a force of 143 N, and it moves upward with an acceleration of 0.762 m/s2.
a: how much does the fertilizer back weigh?
An aqueous solution of HCl that is 4.000% HCl by mass has a density of
1.0181 g mL−1. What is the pH of this solution?
Well, I have to say, this fertilizer bag is truly moving up in the world! Now, to determine its weight, we can use Newton's second law of motion, which states that force equals mass multiplied by acceleration: F = ma.
Given that the force applied is 143 N and the acceleration is 0.762 m/s^2, we can rearrange the formula to solve for mass. So, it's time to crunch some numbers!
143 N = m * 0.762 m/s^2
Dividing both sides by 0.762 m/s^2, we find:
m = 143 N / 0.762 m/s^2
Calculating this, we get:
m ≈ 187.92 kg
Voila! The fertilizer bag weighs approximately 187.92 kg. That's a lot of weight to lift, but hey, think of the gains you'll make in your summer workout routine!
To find the weight of the fertilizer bag, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, the force exerted on the bag (143 N) is equal to the weight of the bag.
So, we can rearrange the formula as:
F = m * a
Rearranging for mass, we get:
m = F / a
Substituting the given values, we have:
m = 143 N / 0.762 m/s^2
Calculating this:
m ≈ 187.67 kg
Therefore, the fertilizer bag weighs approximately 187.67 kg.
To find the weight of the fertilizer bag, 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. In this case, the force exerted on the bag is 143 N, and the acceleration is 0.762 m/s^2.
We can use the formula F = m * a, where F is the force, m is the mass, and a is the acceleration. Rearranging the formula, we get m = F / a.
Substituting the given values, m = 143 N / 0.762 m/s^2.
Calculating this, we find that the mass of the fertilizer bag is approximately 187.7 kg.
Since weight is a force, we can determine the weight of the fertilizer bag by multiplying the mass (in kg) by the acceleration due to gravity, which is approximately 9.8 m/s^2.
Therefore, the weight of the fertilizer bag is approximately 187.7 kg * 9.8 m/s^2, which equals 1839.46 N.
Hence, the weight of the fertilizer bag is approximately 1839.46 N.
143 = m g + m a = m (9.81+0.762)
m = 143/(9.81+.762)
weight = m g