Question

16 A 20-pewton force daurected west and a 5 newton force directed north act concurently on a 5 kg object. Draw the resultant vector of the two forces, calculate its magnitude, and determine the acceleration of the object

Answer 1

Answer:

20.62 N

4.123 m/s^2

Explanation:

A = 20 N west

B = 5 N North

m = 5 kg

Both the forces acting at right angle

Use the formula of resultant of two vectors.

Let r be the magnitude of resultant of two vectors.

$R = \sqrt{A^{2} + B^{2} + 2 A B Cos\theta}$

$R = \sqrt{20^{2} + 5^{2} + 2 \times 20 \times 5 \times Cos90}$

R = 20.62 N

Let a be the acceleeration.

a = Net force / mass = R / m = 20.62 / 5

a = 4.123 m/s^2