Question

a piston of cross sectional area 100cm2 is used in a hydralic press to exxert a force of 10 dyne on the water the cross sectional area of the other piston which supports a truck of mass 200kg is​

Answer 1

Answer:

By Pascal's law, the pressure increased using one piston is communicated everywhere in the fluid. Thus, the same pressure acts on the other piston.

Cross-sectional area of piston 1 is A

1

=100 cm

2

=0.01 m

2

Force on piston 1 is F

1

=10

7

dyne=100 N

Force on piston 2 is F

2

=2000 kg wt=2000×10=2×10

4

N

Let the cross-sectional area of Piston 2 be A

2

=A.

By Pascal's law, P

1

=P

2

⇒

A

1

F

1

=

A

2

F

2

⇒A

2

=

F

1

F

2

A

1

⇒A=

100

2×10

4

×0.01

=2 m

2

=2×10

4

cm

2