The maximum compression of the spring is 0.6 m.
<h3>
Spring constant</h3>
The spring constant of the spring is calculated as follows;
F = kx
k = F/x
k = (5)/(0.1)
k = 50 N/m
<h3>Maximum compression of the spring</h3>
The maximum compression of the spring is calculated as follows;
U = K.E
¹/₂kx² = ¹/₂mv²
x² = (mv²)/(k)
x = √(mv²)/(k)
x = √(4.5 x 2²)/(50)
x = 0.6 m
Thus, the maximum compression of the spring is 0.6 m.
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Answer:
<em>The car will be moving at 5.48 m/s at the bottom of the hill</em>
Explanation:
<u>Principle of Conservation of Mechanical Energy</u>
In the absence of friction, the total mechanical energy is conserved. That means that
is constant, being U the potential energy and K the kinetic energy
U=mgh
When the car is at the top of the hill, its speed is 0, but its height h should be enough to produce the needed speed v down the hill.
The Kinetic energy is then, zero. When the car gets enough speed we assume it is achieved at ground level, so the potential energy runs out to zero but the Kinetic is at max. So the initial potential energy is transformed into kinetic energy.
We are given the initial potential energy U=45 J. It all is transformed to kinetic energy at the bottom of the hill, thus:
Multiplying by 2:
Dividing by m:
Taking square roots:
v = 5.48 m/s
The car will be moving at 5.48 m/s at the bottom of the hill
In order to answer this, we will set up a simple ratio as such:
1 calorie = 4.184 joules
1 kilocalorie = 1000 calories
1 kilocalorie = 4,184 joules
250 kilocalories = x joules
Cross multiplying the second and third equations, we get:
x joules = 4,184 * 250
250 kilocalories are equivalent to 1,046 kJ
Allele frequencies are unaffected by assortative mating, but genotype frequencies .
<h3>Assortative mating: </h3>
Individuals with similar phenotypes and genotypes mate with others more frequently than is anticipated under a random mating pattern in assortative mating, which is a mating pattern and a type of sexual selection.
<h3>Frequencies of genotypes:</h3>
A population's genotype frequency is calculated by dividing the number of people having a particular genotype by the overall population size. The genotype frequency in population genetics is the frequency or ratio (i.e., 0 f 1) among genotypes inside a population.
<h3>The frequency for alleles in biology:</h3>
The term "allele frequency" describes the prevalence of an allele in a population. It is calculated by calculating the number of times the allele occurs in the population and dividing by the sum of all the gene copies.
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Answer:
a) 43.20V
b) 2.71W/s
c) 40.25s
d) 7.77Nm
Explanation:
(a) The emf of a rotating coil with N turns is given by:
N: turns
B: magnitude of the magnetic field
A: area
w: angular velocity
the emf max is given by:
(b) the maximum rate of change of the magnetic flux is given by:
(c) 
(d) The torque is given by:
