A cannon is mounted on the back of an ice sled. Together, the cannon and sled have a mass of 4.0 x 10^3 kg. If a 50.0 kg shell is now loaded into the cannon and fired horizontally at 150 m/s, what is the speed of the sled after firing the cannon?

The first-order reaction a→2b+c has rate constant 0.538 s−1. if the initial concentration of a is 0.867 mol l−1, what is the half-life of the reaction in seconds? remember to use correct significant figures in your answer (round your answer to the nearest hundredth). do not include units in your response.