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Question

An 80kg person is parachuting and is experiencing a downward acceleration of 2.8ms-2. The mass of the parachute is 5kg. The upward force on the open parachute is (take, g=9.8ms-2)


A

595N

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B

675N

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C

456N

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D

925N

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Solution

The correct option is A

595N


Step 1: Given Data and assumptions:

Mass of person, M=80kg

Mass of parachute, m=5kg

Downward acceleration, a=2.8ms-2

Acceleration due to gravity, g=9.8ms-2

Let, the upward force act on the parachute is F

Fg is taken as positive because it is the force acting due to gravitation. So it is acting in the downward direction.

Fa is taken as negative because it is the force acting in the upward direction.

Step 2: Formula used:

Newton's 2nd law,

F=ma

Where, F=the net force acting on the body

m=mass of the body

a=acceleration of the body

Step 3: Calculating the force:

M+mg-F=M+ma

80+5×9.8-F=80+5×2.8

F=85×9.8-85×2.8

=85×9.8-2.8

=85×7

=595N

Hence, option A is the correct answer.


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