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.

the force is 3924 N

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

no. dot product   =0 when vecs at right angles