Question

You work at a garden store for the summer. You lift a bag of fertilizer with a force of 112 N, and it moves upward with an acceleration of 0.790 m/s^2.

a. What is the mass of the fertilizer bag?
b. How much does the fertilizer bag weigh?

Answer 1

The mass of the fertilizer bag is approximately 141.77 kg, and it weighs about 1389.36 N. This is determined using Newton's second law of motion with the given force and acceleration.

Step-by-step explanation:

To determine the mass of the fertilizer bag that you lift with a force of 112 N and which moves upward with an acceleration of 0.790 m/s2, we can apply Newton's second law of motion, which states that the force (F) applied on an object is equal to the mass (m) of the object multiplied by the acceleration (a) of the object (F = ma). Therefore, we can rearrange the equation to solve for mass (m = F/a).

Using the given values:
Calculate mass: m = F / a = 112 N / 0.790 m/s2 ≈ 141.77 kg

Calculate weight (Weight = mass x acceleration due to gravity, which is typically 9.8 m/s2 on Earth): Weight = m x g = 141.77 kg x 9.8 m/s2 ≈ 1389.36 N

Therefore, the mass of the fertilizer bag is approximately 141.77 kg, and it weighs approximately 1389.36 N.

Answer 2

Given :

Force provided, F = 112 N.

Acceleration of the bag, a = 0.79 m/s².

To Find :

a. What is the mass of the fertilizer bag?

b. How much does the fertilizer bag weigh?

Solution :

We know, force is given by :

F = ma

m = F/a

m = 112/0.79 kg

m = 141.77 kg

Now, weight is given by :

W = mg

W = 141.77 × 9.8 N

W = 1389.35 N

Therefore, the mass of fertilizer bag is 141.77 kg and weight us 1389.35 N.