Answer :
Final Answer:
62.5 N is the weight of a 6.36 kg backpack, 1.57 m/s² is the acceleration of the backpack if a net force of 10.0 N is applied. Therefore, the correct option is a) 62.5 N, 1.57 m/s².
Explanation:
To answer this question, we need to consider two parts: the weight of the backpack and the acceleration due to the applied force.
1. Weight of the Backpack:
The weight of an object is defined as the force exerted on it due to gravity. It can be calculated using the formula: weight = mass × gravity. Given the mass of the backpack is 6.36 kg, we can find its weight by multiplying it with the acceleration due to gravity, which is approximately 9.81 m/s².
Weight = 6.36 kg × 9.81 m/s²
Weight = 62.494 N
Rounding off to two decimal places, the weight of the backpack is approximately 62.5 N.
2. Acceleration of the Backpack:
Acceleration is the rate at which an object changes its velocity. To find the acceleration of the backpack, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (Fnet = m × a).
Given the net force acting on the backpack is 10.0 N, we can find the acceleration by rearranging the formula:
a = Fnet / m
Substituting the values:
a = 10.0 N / 6.36 kg
a ≈ 1.57 m/s²
So, the acceleration of the backpack due to the applied net force of 10.0 N is approximately 1.57 m/s².
In conclusion, the weight of the 6.36 kg backpack is 62.5 N, and its acceleration due to a net force of 10.0 N is 1.57 m/s². Therefore, the correct option is a) 62.5 N, 1.57 m/s².
