11. A cart with a mass M=1/2 kg is connected
by a string to a weight of mass m= 200 g.
At the initial moment the cart moves to the
Left along a horizontal plane at a speed
Vo =7 ms-1. Find the magnitude and
Direction of the cart, the place where it
Will be and the distance covered by
It in t=5s.

Question

11.	A cart with a mass M=1/2 kg is connected 
by a string to a weight of mass m= 200 g.  
At the initial moment the cart moves to the 
Left along a horizontal plane at a speed
Vo =7 ms-1.  Find the magnitude and 	
Direction of the cart, the place where it 
 Will be and the distance covered by
It in t=5s.

vishweshshrimali5 · Answer

from where u take all these questions

anonymous · Answer

first of all this is mechanics and not math but  we'll call the initial speed of the cart Vo=7 m/s as there is no friction and the weight is not in the air the mass have no meaning for us if it was in the air we would have used newtons second low and say ma=mg - T (T is the tension in the string) and with the cart Ma=T and we would have found the acceleration of the system. as its not the case we will just use kinematics: so as I said Vo=7 (m/s) , a=0 (m/s^2) , Xo=0 (m) . from this data we get that the carts speed stay the same through out the whole ride --> V(5) = 7 (m/s). the distant  is:
 X = Xo + Vo*t - 2at^2 --> put the data in and you'll get X = 7*5 = 35 (m) to left of where it started.