Answer :
Answer: 32 N
Explanation:To calculate the force applied to the object, we can use the formula that relates force, mass, change in velocity, and distance:
Force
=
mass
×
(
final velocity
2
−
initial velocity
2
)
2
×
distance
Force=
2×distance
mass×(final velocity
2
−initial velocity
2
)
Given:
Mass (
m) = 2 kg
Initial velocity (
v
i
) = 6 m/s
Final velocity (
v
f
) = 14 m/s
Distance (
d) = 5 m
Let's substitute the given values into the formula:
Force
=
2
×
(
1
4
2
−
6
2
)
2
×
5
Force=
2×5
2×(14
2
−6
2
)
Calculate the values inside the parentheses first:
1
4
2
=
196
14
2
=196
6
2
=
36
6
2
=36
Now, subtract to find
2
−
2
v
f
2
−v
i
2
:
196
−
36
=
160
196−36=160
Now substitute back into the force formula:
Force
=
2
×
160
10
Force=
10
2×160
Force
=
320
10
Force=
10
320
Force
=
32
N
Force=32 N
Therefore, the force applied to the object is
32
32 Newtons.
