Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The torque produced by the pile of rocks is
b
The distance of the single for equilibrium to occur is
Explanation:
From the question we are told that
The mass of the left rock is
The mass of the rock on the right
The distance from fulcrum to the center of the pile of rocks is
Generally the torque produced by the pile of rock is mathematically represented as
Substituting values
Generally we can mathematically evaluated the distance of the the single rock that would put the system in equilibrium as follows
The torque due to the single rock is
At equilibrium the both torque are equal
Making the subject of the formula
Substituting values
Answer:
0.75 seconds
Explanation:
Given information
Inflow=0.6 cfm
Density of air entering= 0.075 lbm/ft3
Bicycle’s inflated volume= 0.040 ft3
density of air in the inflated tire= 0.4 lbm/ft3
Mass of air pumped=density*volume=0.075*0.04=0.003 lbm
This mass of air pumped is same as mass of air in the inflated tire
Volume of inflated tire=mass/density=0.003/0.4=0.0075 ft3
Time=0.0075/0.6= 0.0125 mins
0.0125*60=0.75 seconds
Answer:
Explanation:
We apply Newton's second law:
∑F = m*a (Formula 1)
∑F : algebraic sum of the forces in Newton (N)
m : mass in kilograms (kg)
a : acceleration in meters over second square (m/s²)
Problem development
M1 free body diagram : Look at the attached graphic
∑F = m₁*a
W₁ -T= m₁*a
W₁ - m₁*a = T Equation 1
M2 free body diagram :Look at the attached graphic
∑F = m₂*a
T-W₂= m₂*a
W₂ + m₂*a = T Equation 2
Equation 1 = Equation 2
W₁ - m₁*a = W₂ + m₂*a
W₁ - W₂ = m₁*a + m₂*a
m₁*g -m₂*g = a* (m₁ + m₂)
a = (m₁*g -m₂*g) / (m₁ + m₂)
Calculation of the tension in the rope (T)
We replace a in the equation 2
W₂ + m₂*a = T
W₂ + m₂*g*(m₁ -m₂) / (m₁ + m₂) = T
m₂*g + m₂*g*(m₁ -m₂) / (m₁ + m₂) = T
m₂*g( (1+ (m₁ -m₂)) / (m₁ + m₂) = T
m₂*g (1+m₁ -m₂) / (m₁ + m₂) = T
Answer:
The reason is because both are exposed to a virtually infinite heat sink, due to the virtually infinite mass and of the surrounding environment, compared to the sizes of either the cup or the kettle such that the equilibrium temperature, reached is the same for both the cup and the kettle as given by the relation;
Due to the large heat sink, T₂ - T₁ ≈ 0 such that the temperature of the kettle and that of the cup will both cool to the temperature of the environment
Explanation:
Answer:
Explanation:
A concave mirror is a curved mirror that is coated outwards. The outer part of the mirror is always coated. The nature of image formed by an object placed in front of a concave mirror can be real or virtual depending on the distance of the object on the axis from the mirror. The only time the object produces a virtual image is when it is placed between the focus and the pole of the mirror. The virtual image formed is a "MAGNIFIED and upright image"
For a convex mirror, the inner part is always coated and the nature of the image formed by the object doesn't depend on the distance between the image and the mirror. No matter where the object is placed, the image formed will always be virtual, upright and DIMINISHED. This means that magnification is always less than 1.
For a plane mirror, the nature of the image produced by a plane mirror also virtual because it is always formed behind the mirror. The size of the image formed is always THE SAME as that of the object. This means that the magnification is always equal to 1.
a) In summary, the difference between virtual images produced by concave, plane, and convex mirrors is that virtual images produced by concave mirror are MAGNIFIED, virtual images produced by plane mirror are THE SAME SIZE as that of the object and virtual images produced by convex mirrors are always DIMINISHED.
b) Magnification is defined as the ratio of the image distance to the object distance. Mag = v/u
Note that object distances are always positive, hence it is only the image distance that can either be positive or negative which in turn affects the magnification causing it to be positive or negative.
Negative image distance shows that the image is virtual while positive image distance shows that the image is real.
A negative magnification therefore shows that the nature of the image is a virtual image.