A material point weighing 1 kg moves under the action of two mutually perpendicular forces 8H and 6H. Point acceleration is?

The forces acting on a material point are mutually perpendicular, which means that you can find the resultant force using the Pythagorean theorem:
F ^ 2 = F1 ^ 2 + F2 ^ 2, where F1 = 8 H, F2 = 6 N.
F = sqrt (F1 ^ 2 + F2 ^ 2) = sqrt (8 ^ 2 + 6 ^ 2) = sqrt (64 + 36) = sqrt (100) = 10 N
According to Newton’s second law:
F = m * a
a = F / m = 10/1 = 10 m / s ^ 2
Answer: 10 m / s ^ 2