LAWS OF MOTION

Q) A small wedge of Mass M slides on the bigger wedge initially on the smooth horizontal ground as shown in figure . The mass of the bigger wedge is 6M. When the smaller wedge reaches the base of the bigger wedge , the distance moved by the bigger wedge is

A) L B) 4L/5 C) 2L/3 D) 3L/7

ans ---------- >D

10 Answers

1
Manmay kumar Mohanty ·

please help karo [7][7]

1
ajoy abcd ·

I am getting distance =3l/7 using the principal of conservation of linear momentum between two blocks.
M*3l={M+6M}*l'--------
so l'=3l/7 ???

1
radhika roy ·

The force of buoyancy exerted by the atmosphere on a balloon is B in the upward direction and remains constant . The force of air resistance on the balloon acts opposite to the direction of the velocity and is proportional to it. The ballon carries a mass M and is found to fall down near the earth's surface with a constant velocity v. How much mass should be removed from the balloon so that it may rise with a constant velocity v????

1
SURYA RAMKUMAR ·

2[M - B/g]???

1
SURYA RAMKUMAR ·

see case one[downward motion]

forces are
1.weight Mg down.
2.B upwards
3.air resitance kv[k=some constant]

so Mg=B+kv............(i)

case two[upward motion]

1.weight (M-m)g down
2.air resistance kv dwonwards
3.B upwards

so now,B=(M-m)g+kv

substitute value of kv from equation no. (i)

which gives m=2[M-B/g]

1
varun.tinkle ·

these sum is simple just simply use vector relations n u cn solve it
assumiforce acting in the downwards direction as +ve

therfore
mg-B-kv=0 kv is the air resistance force which acts always opp 2 the direcction of motion

n let the new mass be m1
m1g+kv-B=0

adding both the equations
m1g+mg=2B
g(m1+m)=2b
2b/g=m-mdropped+m
therfore m drobpped
=2(m-B/g)

1
SURYA RAMKUMAR ·

i m getting answer as 3l/7 is it right??

1
varun.tinkle ·

man looks like i typed 4 min late

1
SURYA RAMKUMAR ·

@varun so shud i delete my post???

1
varun.tinkle ·

no dude it was just a cool statement
cheers

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