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Grace [21]
3 years ago
11

A helicopter is lifting two crates simultaneously. One crate with a mass of 2.800 × 102 kg is attached to the helicopter by a ca

ble. The second crate with a mass of 1.700 × 102 kg is hanging below the first crate and attached to the first crate by a cable. As the helicopter accelerates upward at a rate of 1.39 m/s2, what is the tension in each of the two cables?
Physics
1 answer:
allochka39001 [22]3 years ago
8 0

Explanation:

It is given that,

Mass of crate 1, m_1=2.8\times 10^2\ kg

Mass of the crate 2, m_2=1.7\times 10^2\ kg

It is also mentioned that the second crate is hanging below the first crate and attached to the first crate by a cable.

The acceleration of the helicopter, a=1.39\ m/s^2 (upwards)

The tension in the cable 1 is given by :

T_1=m_1(a+g)

T_1=2.8\times 10^2(1.39+9.8)

T_1=3133.2\ N

The tension in the cable 2 is given by :

T_2=(m_1+m_2)(a+g)

T_2=(2.8\times 10^2+1.7\times 10^2)\times (1.39+9.8)

T_2=5035.5\ N

Hence, this is the required solution.

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