The engine in an imaginary sports car can provide constant power to the wheels over a range of speeds from 0 to 70 miles per hou
1 answer:
Answer:
Part A
it would take 6 sec
it would take 3 sec
Explanation:
We are told that the power supplied to the wheel is constant which means that the sport car is gaining energy i.e
Hence if power is constantly supplied energy constantly increase
From the formula of the Kinetic energy
we can see that as the speed doubles from 29 mph to 58 mph the energy needed is = 4 times of the energy from the formula
Also the time needed would also be 4 times because energy i directly proportional to time
Hence to reach 58mph the time that it would take is
=
We are told that the ground pushes the car with a constant force and
F = ma
this means that the acceleration is also constant
now from newtons law
v = u +at
Looking at it we see that final velocity is directly proportional with time
hence it would take twice the time to reach twice the final velocity
Time to reach 58mph = 3 s
since time to reach 29 mph() =(
)1.5 s
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The magnitude of the magnetic moment due to the electron's motion is .
The magnetic pull and direction of a magnet or other object that produces a magnetic field are referred to as the magnetic moment in electromagnetism. Things that have magnetic moments include electromagnets, permanent magnets, various compounds, elementary particles like electrons, and a number of celestial objects (such as many planets, some moons, stars, etc).
The term "magnetic moment" really refers to the magnetic dipole moment of a system, which is the portion of the magnetic moment that can be represented by an equivalent magnetic dipole or a pair of magnetic north and south poles that are only very slightly apart. The magnetic dipole component is adequate for sufficiently small magnets or over sufficiently large distances.
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radius=
velocity=
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=
=
M=
=
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Answer:
b) = 4.88 cm
, c)
’= 1/M (m₁ d₁ + m₃ d₃) and d)
’= 1.88 cm
Explanation:
The definition of mass center is
= 1/M ∑ xi mi
Where mi, xi are the mass and distance from an origin for each mass and M is the total mass of the object.
Part b
Apply this equation to our case.
Body 1
They give us the mass (m₁ = 24 g) and the distance (d₁ = 1.1 cm) from the origin at the far left
Body 2
They give us the mass (m₂ = 12.g) and the distance relative to the distance of the body 1, let's look for the distance from the left end (origin)
D₂ = d₁ + d₂
D₂ = 1.1 + 1.9
D₂ = 3.0 cm
Body 3
Give the mass (m₃ = 56 g) and the position relative to body 2, let's find the distance relative to the origin
D₃ = D₂ + d₂
D₃ = 3.0 + 3.9
D₃ = 6.9 cm
With this data we substitute and calculate the center of mass
M = m₁ + m₂ + m₃
M = 24 + 12 + 56
M = 92 g
= 1/92 (1.1 24 + 3.0 12 + 6.9 56)
= 1/92 (448.8)
= 4,878 cm
= 4.88 cm
This distance is from the left end of the bar
Par c)
In this case we are asked for the same calculation, but the reference system is in the center marble, we have to rewrite the distance with the reference system in this marble.
Body 1
It is at d1 = -1.9 cm
It is negative for being on the left and the value is the relative distance of 1 to 2
Body 2
d2 = 0 cm
The reference system for her
Body 3
d3 = 3.9 cm
Positive because that is to the left of the reference system and is the relative distance between 2 and 3
Let's write the new center of mass (xcm')
’= 1/M (m₁ d₁ + m₂ d₂ + m₃ d₃)
’= 1/M (m₁ d₁ + m₃ d₃)
Part d) Let's calculate the value of the center of mass
’= 1/92 ((24 (-1.9) +56 3.9)
’= 1/92 (172.8)
’= 1.88 cm
This distance is to the right of the central marble
Answer:
(C) 16
Explanation:
Given:
The amplitude of first wave (s₁) = 20 mm
The amplitude of second wave (s₂) = 5 mm
Intensity of first wave = Iₓ
Intensity of second wave =
The intensity associated with a wave depends on the amplitude of the wave.
The intensity (I) is directly proportional to the square of the amplitude (s) of the wave and is expressed as:
Now, the intensities of the two waves are given as:
Dividing both the intensities, we get:
Therefore, the option (C) is correct.