Question

5N to the left and 20 N to the right. If the couch has a mass of 45 Kg determine its acceleration

A) 3m/s2 to the right
B) 1.8 m/s2 to the right
C) 2.2 m/s to the right
D) 0.33 m/s2 to the right

Answer 1

D) 0.33 m/s² to the right

Step-by-step explanation:

Apply Newton's second law. Take right to be positive and left to be negative.

∑F = ma

20 N − 5 N = (45 kg) a

a = 0.33 m/s²

The couch accelerates at 0.33 m/s² to the right.

Answer 2

Answer: acceleration = 0.33m/s² to the right.

Explanation: when two forces act in opposite direction along same axis thier resultant direction is always with that force of higher magnitude in this case 20N

Resultant force F = -5N + 20N = 15N to the right.

But

F = Mass * acceleration

acceleration = F/ mass

= 15N/45kg

= 0.33N/kg

Which is also 0.33m/s² to the right.