Answer:
Acceleration is 2.55m/s²
Step-by-step explanation:
Force(F)=mass of object(m) ×acceleration(a)
in the scenario above,a force of 15N is used to push the box and because the floor is not having a smooth surface,frictional force(8N) will oppose the 15N used to push the box thereby decreasing the acceleration. so the actual force moving the box is 7N.
Force =Normal Force - Frictional Force
F= 15N - 8N
F= 7N
therefore the 7N is the actual force causing the box to move.
To find the acceleration,insert the mass of the box and the actual force into the formula (F=m×a)
F=m×a
7N =2.75kg × a
make a the subject by dividing both sides of the equation by 2.75kg.
7/2.75 = (2.75×a)/2.75
a= 7/2.75
therefore a= 2.55m/s²,where a is the Acceleration.