Question

use the information below to answer the three questions that follow.
a 4.05 kg bucket of water is raised upward from a well by a rope attached to the bucket. the upward acceleration of the bucket is 1.17 m/s/s.

1. what is the weight of the bucket?

1. what is the net force experienced by the bucket?

1. what is the tension in the rope?

Explanation:

Step1: Calculate bucket weight

Weight formula: $W = m \cdot g$, where $m=4.05\ \text{kg}$, $g=9.81\ \text{m/s}^2$
$W = 4.05 \times 9.81 = 39.7305\ \text{N}$

Step2: Calculate net force

Net force formula: $F_{\text{net}} = m \cdot a$, where $a=1.17\ \text{m/s}^2$
$F_{\text{net}} = 4.05 \times 1.17 = 4.7385\ \text{N}$

Step3: Calculate rope tension

Tension formula: $T = W + F_{\text{net}}$
$T = 39.7305 + 4.7385 = 44.469\ \text{N}$

Answer:

1. The weight of the bucket is $\boldsymbol{39.7\ \text{N}}$ (rounded to 3 significant figures)
2. The net force experienced by the bucket is $\boldsymbol{4.74\ \text{N}}$ (rounded to 3 significant figures)
3. The tension in the rope is $\boldsymbol{44.5\ \text{N}}$ (rounded to 3 significant figures)