Advertisements
Advertisements
प्रश्न
Multiple Choice Question.
A hydraulic lift is designed to lift heavy objects of maximum mass 2000 kg. The area of cross-section of piston carrying the load is 2.25 × 10-2 m2. What is the maximum pressure the smaller piston would have to bear?
विकल्प
0.8711 × 106 N/m2
0.5862 × 107 N/m2
0.4869 × 105 N/m2
0.3271 × 104 N/m2
उत्तर
0.8711 × 106 N/m2
Explanation:
Apply Newton’s second law of motion to find the force:
F = mg
Substitute the value mass as m = 2000 kg and acceleration due to gravity as g = 9.81 m/s2 to find the force exerted by the piston.
F = mg
F = 2000 kg × 9.81 m/s2
F = 19620 N
Use the law of pressure
p = `F/A`
Substitute the value of force as F = 19620 N, and area as A = 2.25 × 10–2m2 to calculate the maximum pressure the hydraulic lift can bear.
Pmax = `(19620N)/(2.25 xx 10^-2m^2)`
Pmax = 0.8711 × 106Pa
APPEARS IN
संबंधित प्रश्न
Explain why Hydrostatic pressure is a scalar quantity even though the pressure is force divided by area.
Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill up to a particular common height. Is the force exerted by the water on the base of the vessel the same in the two cases? If so, why do the vessels filled with water to that same height give different readings on a weighing scale?
Pressure is the thrust acting on a surface of ........... area.
The unit of pressure is
State the unit of thrust
Define the term ‘pressure’ and state its unit.
Figure shows a brick of weight 2 kgf and dimensions 20 cm x 10 cm × 5 cm placed in three different positions on the ground. Find the pressure exerted by the brick in each case.
The pressure in a liquid at two points in the same horizontal plane are equal. Consider an elevator accelerating upward and a car accelerating on a horizontal road. The above statement is correct in
Consider the situation of the previous problem. Let the water push the left wall by a force F1 and the right wall by a force F2.
Water flows through a horizontal tube of variable cross section. The area of cross section at A and B are 4 mm2 and 2 mm2 respectively. If 1 cc of water enters per second through A, find (a) the speed of water at A, (b) the speed of water at B and (c) the pressure difference PA − PB.
An air bubble of radius 0.2 mm is situated just below the water surface. Calculate the gauge pressure. Surface tension of water = 7.2 × 10−2 N/m.
Consider the statement given below and choose the correct option.
Assertion: Sharp knives are used to cut the vegetables.
Reason: Sharp edges exert more pressure.
Consider the statement given below and choose the correct option.
Assertion: Broad straps are used in bags.
Reason: Broad straps last for long.
A chapatti maker is a machine which converts balls of dough into chapattis. What effect of force comes into play in this process?
It is difficult to cut cloth using a pair of scissors with blunt blades. Explain.
The total force exerted by a body normal to the surface is called ______.
If the same force is made to act on a larger area, the pressure ______.
At higher altitudes, atmospheric pressure is ______.
Explain the variation of the pressure exerted by liquid with respect to the following factors.
- Amount of liquid
- Depth
- Shape and size of the container
What is an Artisan aquifer?
Scuba divers wear special suits to withstand ______.
The net force in a particular direction is called ______.
The shape and size of the solids do not easily change.
Define thrust.
Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi = 0.917 g cm–3?
A vessel filled with water is kept on a weighing pan and the scale adjusted to zero. A block of mass M and density ρ is suspended by a massless spring of spring constant k. This block is submerged inside into the water in the vessel. What is the reading of the scale?
