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Answer:
The cross-sectional area of the larger piston is 800 cm².
Explanation:
Given;
mass of the automobile, m = 4000 kg
force applied on the small piston, F₁ = 500 N
area of the smaller piston, A₁ = 10 cm²
load lifted by the larger piston, F₂ = 4000 x 10 = 40,000 N
Pressure experienced by each piston is given as;
Where;
A₂ is the cross-sectional area of the larger piston
Therefore, the cross-sectional area of the larger piston is 800 cm².
Explanation:
Given that,
Mass of the shopping cart,
Initial speed of the shopping cart,
Mass of the box,
Initial speed of the box, (at rest)
They stick together and continue moving at a new velocity. It is a case of inelastic collision.
(a) The momentum of the shopping cart before the collision is given by :
(b) The momentum of the box before the collision is given by :
(c) The velocity of the combined shopping cart/box wreckage after the collision is given by using the conservation of momentum as :
Hence, this is the required solution.