A container used to hold or carry things, typically made from interwoven strips

Question

A container used to hold or carry things, typically made from interwoven strips of cane or wire of red apples with the mass 4.2 kg is hanging from a spring scale that is held by a human riding an elevator. Starting from rest at the bottom floor, the elevator ascends, attaining its maximum speed of 1.95 m/s in 1.01 s. It travels with this constant speed for the next 6.40 s. The elevator then slows down for 1.85 s and comes to rest at the top level.

a) What is the acceleration of the apple basket during the first 1.01 s? Answer in units of m/s2 and use the upward direction as positive.

b) How many forces act on the apple basket during this elevator ride?

c) What does the spring scale register in N during the first 1.01 s?

d) What does the spring scale register in N during the 6.40 s period?

e) What does the spring scale register in N during the 1.85 s period?

Explanation / Answer

a)

acceleration = a = v/t = 1.95/1.01 = 1.93 m/s^2

(b)

gravitational force

spring elastic force

(c)

W = mg + ma = m*(g+a) = 4.2*(9.8+1.93) = 49.3 N

(d)

a = 0

W = mg = 41.16 N

(e)

a = -v/t = -1.95/1.85 = 1.05 m/s^2

W = mg + ma = 4.2*(9.8-1.05) = 36.75 N

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