Question

What is the weight of a 6.36 kg backpack? (a)
A) 63.6 N
B) 6.36 N
C) 0.636 N
D) 9.81 N
What is the acceleration of the backpack if a net force of 10.0 N is applied? (b)
A) 1.57 m/s²
B) 0.625 m/s²
C) 10.0 m/s²
D) 16.67 m/s²

Answer 1

Answer:

a) option (A) 63.6 N is the closest.

b) the correct answer is option (A) 1.57 m/s².

Explanation:

To solve these problems, we can 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 its acceleration (F = ma).

(a) Weight of the backpack:

We know that weight (W) is the force exerted on an object due to gravity, and it's calculated as the product of mass and the acceleration due to gravity (W = mg).

Given:

Mass (m) = 6.36 kg

Acceleration due to gravity (g) ≈ 9.81 m/s² (standard value on Earth)

Substitute the values into the equation:

$\[ W = mg = (6.36 \, \text{kg})(9.81 \, \text{m/s}^2) \]\[ W \approx 62.4516 \, \text{N} \]$

So, the weight of the backpack is approximately 62.45 N. However, none of the provided options match this value exactly, but option (A) 63.6 N is the closest.

(b) Acceleration of the backpack:

We can rearrange Newton's second law to solve for acceleration:

$\[ a = \frac{F}{m} \]$

Given:

Net force (F) = 10.0 N

Mass (m) = 6.36 kg

Substitute the values into the equation:

$\[ a = \frac{10.0 \, \text{N}}{6.36 \, \text{kg}} \]\[ a \approx 1.57 \, \text{m/s}^2 \]$

So, the acceleration of the backpack is approximately 1.57 m/s². Therefore, the correct answer is option (A) 1.57 m/s².