You work at a garden store for the summer. You lift a bag of fertilizer with a force of 122 N, and it moves upward with an acceleration of 0.760 m/s2.
What is the mass of the bag of fertilizer?
Mass = Force / Acceleration
Mass = 122 N / 0.760 m/s2
Mass = 160 kg
To find the mass of the bag of fertilizer, 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.
The formula for Newton's second law of motion is:
F = m * a
Where:
F is the force (122 N),
m is the mass (unknown),
a is the acceleration (0.760 m/s^2).
To find the mass, we need to rearrange the formula to solve for m:
m = F / a
Now we can substitute the given values:
m = 122 N / 0.760 m/s^2
m = 160.53 kg
Therefore, the mass of the bag of fertilizer is approximately 160.53 kg.
To solve this problem, you need to use Newton's Second Law of Motion, which states that the net force acting on an object is equal to the product of its mass and acceleration. Here are the steps to find the mass of the bag of fertilizer:
Step 1: Determine the net force acting on the bag of fertilizer.
The net force can be calculated using the following equation:
Net force = mass × acceleration
Step 2: Rearrange the equation to solve for mass:
mass = net force / acceleration
Step 3: Substitute the given values into the equation:
mass = 122 N / 0.760 m/s^2
Step 4: Calculate the mass:
mass = 160.53 kg
Therefore, the mass of the bag of fertilizer is approximately 160.53 kg.