Question

When landing after a spectacular somersault, a 40.0-kg gymnast decelerates by pushing straight down on the mat. Calculate the force she must exert if her deceleration is 7.00 times the acceleration due to gravity. Explicitly show how you follow the steps in the Problem-Solving Strategy for Newton’s laws of motion.

Answer 1

`F=3139.2N`

Step-by-step explanation:

Mass
`m=40.0kg`

Acceleration
`a=7g=68.67m/s^2`

With g as 9.81

Generally the equation for Force is mathematically given by

`F_net=F-w\\\\F-w=ma\\\\F=ma-w\\\\`

`F=ma-mg\\\\F=m(a+g)`

Therefore

`F=m*8g`

`F=40*8*9.81`

`F=3139.2N`