A man pulls himself up the 30^o incline by the method shown in figure. If the combine mass of the man and cart is 100 kg, determine the acceleration of the cart if the man exerts a pull of 250 N on the rope. Neglect all friction and the mass of the rope, pulleys and wheels.

2.5 m/s²

a = \(\frac{3T - mg sin \theta}{m}\)

a = \(\frac{3 * 250 - 100*10*sin 30}{100}\)

a = 2.5 m/s²