Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if a 10kg object is suspended by a rope, what is the tension in the rop…

Question

if a 10kg object is suspended by a rope, what is the tension in the rope? a. 100n b. 98n c. 10n d. 80n

Explanation:

Step1: Determine the force acting on the object

The object is acted upon by gravity, \(F = mg\), where \(m = 10\space kg\) and \(g=9.8\space m/s^{2}\).

Step2: Calculate the force due to gravity

\(F=mg = 10\times9.8=98\space N\).

Step3: Analyze the tension in the rope

Since the object is in equilibrium (suspended and not accelerating), the tension \(T\) in the rope is equal to the force due to gravity. So \(T = F=98\space N\).

Answer:

B. 98N