A worker kicks a flat rock lying on a roof. The rock slides up the incline 10.0 m to the apex of the roof, and flies off the roo

Answer:

The ratio of mass that is discarded is determined by this equation:

M - m = (3a/2)/(g²- (a²/2) - (ag/2))

Explanation:

The force acting on an object in motion is defined by the equation:

F = ma

Additionally, there is a gravitational force consistently acting downwards on the object, defined as g = 9.8 ms⁻²

For convenience, we will utilize a positive notation for downward acceleration and a negative notation for upward acceleration.

Case 1:

The hot air balloon has mass = M

Acceleration = a

Upward thrust from hot air = F = constant

Gravitational force acting downward = Mg

The net force on the balloon can be expressed as:

Ma = Gravitational force - Upward Force                              

Ma = Mg - F                      (since the balloon moves downward, that means Mg > F)

F = Mg - Ma

F = M (g-a)

M = F/(g-a)

Case 2:

After releasing the ballast, the new mass becomes m. The new upward acceleration is -a/2:

The net force is expressed as:

-m(a/2) = mg - F        (The balloon is moving upwards, hence F > mg)

F = mg + m(a/2)

F = m(g + (a/2))

m = F/(g + (a/2))

Determining the fraction of the mass initially dropped:

Response/Clarification:

Each of us receives 2 versions of a gene from our parents, with one inherited from the mother and one from the father.

Both our mother and father possess 2 versions of every gene. Therefore, the specific version we inherit is determined randomly, much like the outcome of a coin flip. This applies to both parents.

For instance, if the mother has one variant causing thick ears (A) and another for thin ears (a), she is Aa.

Similarly, the father also has these variants and is Aa as well.

The father can transfer either A or a, while the mother can also transfer either A or a.

As a result, their offspring can be AA, Aa, or aa. An AA genotype results in thick ears, while aa results in thin ears. The Aa genotype produces ears of intermediate thickness, akin to bunny B. This demonstrates the concept of incomplete dominance

The light's wavelength absorbed during the transition is 459 nm. Energy difference between the 5-d and the 6-s sub-levels in gold is expressed as ΔE. Let the wavelength associated with the electron's transition from the 5-d to the 6-s state be λ. The relationship that describes the connection between energy and wavelength is defined as: E = hc/λ, where E stands for photon energy, h represents Planck's constant, c is the speed of light, and λ denotes the wavelength of the photon. Therefore, the absorption wavelength in this transition stands at 459 nm.

Answer:

h = 10 m

Explanation:

Given,

mass of the platform = 50 Kg

Kinetic energy = 5000 J

height from which the diver dove =?

Taking the acceleration due to gravity as 10 m/s²

Using the conservation of energy principle

Kinetic energy is transformed into potential energy

K.E = P.E

K.E = m g h

5000 = 50 x 10 x h

500 h = 5000

    h = 10 m

The height from which the diver dove is equal to h = 10 m