Two man pull on a cart with a mass of 90 kg. if 1 man pulls 140 N to the right and the other man pulls 195 N to the left then find the magnitude and direction of the acceleration for the cart

magnitude : 0.6 m/s²

Direction : Left

Explanation:

m = mass of the cart = 90 kg

Taking force in right direction as positive and force in left direction as negative

F₁ = Force applied by man 1 = 140 N

F₂ = Force applied by other man = - 195 N

a = acceleration of the cart

Force equation for the motion of the cart is given as

F₁ + F₂ = ma

140 + ( - 195) = 90 a

a = - 0.6 m/s²

magnitude of acceleration is 0.6 m/s²

The negative sign indicates the direction of acceleration towards left