1) your nephew rides a kiddy train at the local carnival. the train, which has
a mass of 1000 kg, rounds a curve with a radius of 5.0 m. the rails can
exert a maximum force of 2000 n in the radial direction. what is the
maximum speed of the train without derailing?

Velocity is 1 m/s

We are given;

We are required to determine the maximum speed of the train.

Therefore, the maximum speed of the train is 1 m/s

"you start with 15.67 g mgco3-xh2o, when heated and all the water is removed, you are left with 7.58 g mgco3 only.

therefore, you had 15.67 - 7.58 = 8.09g h2o  

moles of each :

7.58g mgco3 = ? moles = 7.58g / 83.4g/mole = 0.09moles  

8 09g h2o = ? moles = 8.09g / 18g/mole = 0.44moles  

molar ratio between the two by dividing both numbers by the smallest number :

0.09 / 0.09 = 1  

0.44 / 0.09 = 4.8  

mgco3-5h2o"

the product of the pressure and volume is also constant