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Byju's Answer

Standard IX

Physics

Hydraulic Lift and Brakes

In the given ...

Question

In the given figure, there are two pistons A and B. The area of the piston A( $A_{A}$ ) is 50 $c m^{2}$ and area of the piston B( $A_{B}$ ) is 4000 $c m^{2}$ . Find the external input force $F$ required to lift the car of 16000 N.

100 N

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200 N

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300 N

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400 N

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Solution

The correct option is B
200 N

Given, the weight of the car( $F_{B}) = 16000$ N, Area of the piston A( $A_{A}) = 50 c m^{2} = \frac{50}{10000} m^{2} = 0.005 m^{2}$ , Area of the piston B( $A_{B}) = 4000 c m^{2} = \frac{4000}{10000} m^{2} = 0.4 m^{2}$ and force on piston A is F.

According to Pascal's law,

$\frac{F}{A_{A}} = \frac{F_{B}}{A_{B}}$

$= \frac{F}{0.005} = \frac{16000}{0.4}$

$\Rightarrow F = 0.005 \times \frac{16000}{0.4} = 200$ N

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In the given figure, there are two pistons A and B. The area of the piston A(AA) is 50 cm2 and area of the piston B(AB) is 4000 cm2. Find the external input force F required to lift the car of 16000 N.

The correct option is B 200 N Given, the weight of the car(FB)=16000 N, Area of the piston A(AA)=50 cm2=5010000 m2=0.005 m2, Area of the piston B(AB)=4000 cm2=400010000 m2=0.4 m2 and force on piston A is F. According to Pascal's law, FAA=FBAB =F0.005=160000.4 ⇒F=0.005×160000.4=200 N

In the given figure, there are two pistons A and B. The area of the piston A( $A_{A}$ ) is 50 $c m^{2}$ and area of the piston B( $A_{B}$ ) is 4000 $c m^{2}$ . Find the external input force $F$ required to lift the car of 16000 N.