Problem $4(10p)$ : A cart is accelerated from zero velocity to a speed of $v_1=36k\frac{m}{h}.$ The rolling resistance coefficient between the wheels of the cart and the ground is $C_{rr}=0\mathrm{.}015.$ The mass of the cart is $m=10\mathrm{.}194t$ and acceleration takes $t=2$min. Find the acceleration, and the accelerating force. Calculate the kinetic energy of the cart at full speed, the work required to accelerate the cart, and the work against the rolling resistance force.

$\backslash$table$[[a(\frac{m}{s^2})(1p),F(N)(2p),E_{\text{k}\text{i}\text{n}}(kJ)(2p),W_{\text{a}\text{c}\text{c}\text{e}\text{l}\text{.}}(kJ)(2p),W_{rr}(kJ)(3p)$