Locke said that under natural law, all people have the right to life, liberty, and private property; under the social contract, the people could instigate a revolution against the government when it acted against the interests of citizens, to replace the government with one that served the interests of citizens.
Answer:
3.48076 m
Explanation:
= Pressure difference = 35 kPa
= Density of water = 1025 kg/m³
g = Acceleration due to gravity = 9.81 m/s²
h = Depth of water
Pressure difference is given by
The depth at which this pressure difference occurs is 3.48076 m
In a force diagram set-up, we name the angle of inclination theta, g as the acceleration due to gravity. In this case, the forces acting on the box going down is the weight itself impeded by the friction between the box and the inclined plane.
The weight of the box is expressed as mg sin theta
The frictional force is expressed as the normal force times the coefficient of friction that is expressed as mu g cos theta.
By Newton's second law of motion, F = ma = mg sin theta - mu g cos theta
Thus, a = g (sin theta - u cos theta
Answer:
Explanation:
(a)
Applying the conservation of energy for cube,
i.e the initial kinetic energy of the body = its final potential energy
1/2mv² = mgh
h1 = v²/2g -------------------- (1)
and For cylinder,
the initial kinetic and rotational energy equals the final potential energy
1/2 mv² + 1/2 Iω² = mgh
here I = momentum of inertia of the cylinder
I = 1/2 m R²
∴ 1/2 mv² + 1/2 (1/2mR²)v²/R² = mgh
1/2 mv² + 1/4mv² = mgh
h2 = 3v²/4g -------------- (2)
From equations (1)&(2);
therefore the cylinder will go the greater distance up the incline.
(b)
h1-h2 = v²/2g - 3v²/4g
= 0.25 v²/g
the difference between the maximum distances the objects travel up the incline is 0.25*v²/g.
(c)
here we are taking into account of rotational energy.
So obviously the 20N pulls more than the 5N. Friction opposes direction of motion, so the 5N opposes the 20N and the two forces are against each other.
Net force would be in the direction of the 20N force: 20N - 5N = 15N.
Force = mass*acceleration
15 = (5)*acceleration
acceleration = 3m/s^2