Answered

Get expert advice and community support for all your questions on IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

A lamp hangs vertically from a cord in a descending elevator that decelerates at 2.9 m/s2. (a) If the tension in the cord is 52 N, what is the lamp's mass

Sagot :

LammettHashidn

The lamp descends with the elevator so its acceleration is also 2.9 m/s². Take downward to be the positive direction. Then the net force on the lamp is

∑ F = w - t = ma

where w = mg = weight of lamp, t = tension in the cord, m = mass of lamp, and a = acceleration. Then

mg - t = ma

mg - ma = t

m (g - a) = t

m = t / (g - a)

so that the lamp's mass is

m = (52 N) / (9.8 m/s² - 2.9 m/s²) ≈ 7.5 kg

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.