Answer:
2.76 N
Explanation:
m = mass of the object = 1.5 kg
v₀ = initial velocity at t = 0, = 0 i + 5 j
v = final velocity of the object at t = 5, = 6 i + 12 j
t = time interval = 5 sec
a = acceleration of the object = ?
Acceleration of the object is given as
[tex]a = \frac{v - v_{o}}{t}[/tex]
inserting the values
a = ((6 i + 12 j) - (0 i + 5 j))/5
a = (6 i + 7 j)/5
a = 1.2 i + 1.4 j
magnitude of the acceleration is given as
|a| = √((1.2)² + (1.4)²)
|a| = 1.84 m/s²
magnitude of the resultant force is given as
|F| = m |a|
|F| = (1.5) (1.84)
|F| = 2.76 N