Question

Suppose the rocket is coming in for a vertical landing at the surface of the earth. The captain adjusts the engine thrust so that rocket slows down at the rate of 2.45m/s2 . A 8.50-kg instrument is hanging by a vertical wire inside a space ship. Find the force that the wire exerts on the instrument.

Answer 1

The wire exertsa force of 62.475 N on the instrument.

Step-by-step explanation:

The two forces acting on the the instrument are the Tension in the wire & the weight of the body and the resultant of this gives the force causing motion, ma

W = mg = 8.5 × 9.8 = 83.3 N

T - mg = ma

T = mg + ma

a = - 2.45 m/s²

T = 83.3 + (8.5 × -2.45) = 62.475 N