The cable of an elevator in a building has the ability to withstand a tension (s

Question

The cable of an elevator in a building has the ability to withstand a tension (stretching force) of 15,000 N. If a number of students pile into the elevator so that the total mass of students plus elevator is 1,000 kg, what maximum acceleration (in m/s^2) can the elevator sustain during its motion? A. 0 B. 5 C. 10 D. 15 E. 25 A projectile is fired into the air and it follows' a parabolic path (in the absence of air resistance), At any instant, the projectile has a velocity v and an acceleration a. Which one or more of the following drawings could HOT represent the directions for v (thin arrow) and a (thick arrow) at some point of the trajectory? A) A B) B C) C D) D E) A & B F) A & C G. none of the previous

Explanation / Answer

here,

1)

maximum tension , T = 15000 N

the mass of students plus elevator , m = 1000 kg

let the maximum accelration be a

T - m * g = m * a

15000 - 1000 * 10 = 1000 * a

a = 5 m/s^2

the accelration of the motion is B) 5 m/s^2

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