Question

When landing after a spectacular somersault, a 50.0 kg gymnast decelerates by pushing straight down on the mat. Calculate the force (in N) she must exert if her deceleration is 7.00 times the acceleration of gravity.

Answer 1

the force is 3924 N

Step-by-step explanation:

Given data

mass = 50 kg

7.00 times the acceleration of gravity

to find out

the force

solution

we know that net force is equal to force exerted - mg

so we have say net force is mass× acceleration

now find force exerted

force exerted = ma + mg

force exerted = m( a + g)

as given in question 7.00 times the acceleration of gravity

force exerted = 50 ( 7g + g)

force exerted = 50 ( 8g)

force exerted = 50× 8(9.81)

force exerted = 3924

the force is 3924 N