The tension T in a string varies partly as the velocity V and partly as the mass of the string m. When the tension is 20N,it attains a velocity of 32m/s and has a mass of 8kg.When the mass of the string increases by 30%,the tension reduces by 15% and attains a velocity of 243m/s.Find leaving your constants and answers to the nearest whole number.
i)the relation between T,v and m.
ii)the value of T when v=16m/s and m=4·8kg .
iii)the value of v when m=20kg and T=48N.
So, we have T = aV + bm
Then they say that
32a + 8b = 20
243a + 8*1.3b = 20*0.85
Now solve for a and b, and then just plug in your numbers.