Let,
T =tension in the string,
a= acceleration in the direction of force F.
m1=10 kg and m2= 20 kg
Therefore,common acceleration
Now the tension T in the string is
A trolley of mass 200 kg moves with a uniform speed of 36 km/h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 m relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley?
Mass of troly M = 200Kg
mass of child m = 20Kg
speed of trolley v = 36Km/hr=36 x 5/18 = 10m/s
Let v' be the final velocity of the trolley with respect to the ground.
Final velocity of the boy with respect to the ground =
from conservation of linear momentum
Helium is a monoatomic gas.(CV = 1.5R)
change in internal energy
Total length after expansion = 30 + 0.013 = 30.013m
length, l = 4.234 m
breadth,b = 1.005 m
thickness, t = 2.01 cm = 2.01 × 10-2 m
volume = l × b × t
=> V = 4.234 × 1.005 × 0.0201 = 0.0855289 = 0.0855 m3 (Significant Figures = 3)