A force of 20 N , acting on a mass of m1 produces an accleration of 4 m/s2.The same force when applied to a mass m2, gives an accleration of 0.5 m/s2.What accleration would the same force produce, when both masses are tied together ?

Asked by Vikas | 6th Jul, 2017, 12:48: PM

Expert Answer:

begin mathsize 12px style We space first space calculate space the space mass space straight m subscript 1 space and space straight m subscript 2 space using space the space realtion space straight F space equals space ma
bold For bold space bold mass bold space bold m subscript bold 1 bold colon
straight m subscript 1 space equals space straight F over straight a space equals space 20 over 4 space
rightwards arrow space straight m subscript 1 space equals space 5 space kg space
bold For bold space bold mass bold space bold m subscript 2 bold colon
straight m subscript 2 space equals space straight F over straight a space equals space fraction numerator 20 over denominator 0.5 end fraction space
rightwards arrow space straight m subscript 2 space equals space 40 space kg space
bold When bold space bold m subscript bold 1 bold space bold and bold space bold m subscript bold 2 bold space bold are bold space bold tied bold space bold together bold colon
straight M space equals space straight m subscript 1 space plus space straight m subscript 2 space equals space 5 space plus space 40 space equals space 45 space kg
Acceleration space straight a space equals space straight F over straight M space equals space 20 over 45 space equals space 0.44 space straight m divided by straight s squared space space end style

Answered by Yashvanti Jain | 6th Jul, 2017, 01:21: PM