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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.
Answer:
1. C
2.C
Explanation:
1. The rod is perpendicular to every axis and forces are acting on every location. If the torque on the left side is zero, this indicates that forces with respect to their distance on the left side is zero and doesn't account for the net force at a point.
2. If the net torque about every point on every axis is zero, the rod will be rotational because each axis will yield a magnitude of zero which obeys the principle of rotation at a point.
(BELOW YOU CAN FIND ATTACHED THE IMAGE OF THE SITUATION)
Answer:

Explanation:
For this we're going to use conservation of mechanical energy because there are nor dissipative forces as friction. So, the change on mechanical energy (E) should be zero, that means:
(1)
With
the initial kinetic energy,
the initial potential energy,
the final kinetic energy and
the final potential energy. Note that initialy the masses are at rest so
, when they are released the block 2 moves downward because m2>m1 and finally when the mass 2 reaches its maximum displacement the blocks will be instantly at rest so
. So, equation (1) becomes:
(2)
At initial moment all the potential energy is gravitational because the spring is not stretched so
and at final moment we have potential gravitational energy and potential elastic energy so
, using this on (2)
(3)
Additional if we define the cero of potential gravitational energy as sketched on the figure below (See image attached),
and we have by (3) :
(4)
Now when the block 1 moves a distance d upward the block 2 moves downward a distance d too (to maintain a constant length of the rope) and the spring stretches a distance d, so (4) is:

dividing both sides by d


, with k the constant of the spring and g the gravitational acceleration.