Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the information below to answer the two questions that follow. a bl…

Question

use the information below to answer the two questions that follow.
a block hangs from the ceiling by a light - weight string. a second block is attached to the first block and hangs below it on another piece of light string. the bottom block has a mass of 5.31 kg. the tension in the top rope is 137 n. all blocks are at rest (at least for now).

  1. what is the tension in the bottom rope?

Explanation:

Step1: Identify force on bottom block

The bottom block is in equilibrium, so the tension in the bottom rope equals the weight of the bottom block. The weight formula is $W = m \cdot g$, where $g = 9.8\ \text{m/s}^2$.

Step2: Calculate tension in bottom rope

Substitute $m = 5.31\ \text{kg}$ and $g = 9.8\ \text{m/s}^2$ into the formula.
$T = 5.31\ \text{kg} \times 9.8\ \text{m/s}^2$

Answer:

$52.038\ \text{N}$