Question #106437
The aeroplane lands at a speed of 80m/s
After landing, the aeroplane takes 28 s to decelerate to a speed of 10m/s
The mean resultant force on the aeroplane as it decelerates is 750 000N
Calculate the mass of the aeroplane in kg
1
Expert's answer
2020-03-25T10:59:58-0400

The acceleration of the aeroplane 


a=vfvit=108028=2.5m/s2.a=\frac{v_f-v_i}{t}=\frac{10-80}{28}=-2.5\:\rm m/s^2.

The Newton's second law states


ma=F.ma=F.

Hence, the mass of the aeroplane


m=Fa=7500002.5=300000kg.m=\frac{F}{a}=\frac{750\: 000}{2.5}=300\:000\:\rm kg.


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