a0.60kg cart is attatched to the end of a horizontal spring and ismoving in simple harmonic motion with amplitude 0.45m on africtionless surface. as the cart passes through its equillibriumposition, a 0.12kg mads is dropped onto the cart from a shortheight and starts to move together with the cart. the springconstant is 2.3 N/m. A) find the velocity of the cart alone at theequillibrium position before the mass is added. B) find thevelocity of the cart after the mass is added to the cart at theequillibrium position. C) find the new amplitude of the motion ofthe cart after the mass is added to the cart.