Question

A constant force FA is applied to an object of mass M, initially at rest. The object moves in the horizontal x-direction, and the force is applied in the same direction. After the force has been applied, the object has a speed of vf. Which mathematical routines can be used to determine the time in which the force is applied to the object of mas

Answer 1

t =
`( v \ F)/( m)`

Step-by-step explanation:

The question is a bit strange, for this exercise we must use the mathematical relationship of Newton's second law to find the acceleration of the body

F = m a

a = F / m (1)

with this acceleration the mathematical relations of kinematics of accelerated motion must be used

v = v₀ + a t

with the body starting from rest its initial velocity is zero

v = a t

t = v / a (2)

if we substitute the equation 1 in 2

t =
`( v \ F)/( m)`

this is the final mathematical expression that allows to find the time based on the data of the problem