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An acrobat with a mass of 41-kg jumps on a trampoline. What force does a trampoline have to apply to accelerate her straight up at 7.5 m/s2 in Newtons?

Question

An acrobat with a mass of 41-kg jumps on a trampoline.

 What force does a trampoline have to apply to accelerate her straight up at 7.5 m/s2 in Newtons?
 
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Step 1

Given:

Mass of acrobat, m  = 41 kg

Acceleration of acrobat, a = 7.5 m/s2

Acceleration due to gravity, g = 9.8 m/s2

Let force applied by trampoline be R.

Step 2
Y
R
a
ma
X
mg
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Image Transcriptionclose

Y R a ma X mg

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Step 3

There is no force acting along X- axis.

From Newton’s s...

(Fue); 3 та,
R- mg 3 тa
та
R%3D та + mg
m(a+g)
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Image Transcriptionclose

(Fue); 3 та, R- mg 3 тa та R%3D та + mg m(a+g)

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