Astudent is her teacher move a 9.5 kg box of books. what net sideways force must she exert on the box to slide it across the floor so that is accelerates at 1.0m/s2?

As we know that mass of the box is given as

m = 9.5 kg

acceleration of the box is given as

so by Newton's II law we can say

now we can substitute all the values in it

So it required 9.5 N force to slide it

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s