False
Explanation:
A positive magnification means the image is erect compared to the object. Magnifications with values greater than one represent images that are smaller than the object. A magnification of 1 (plus or minus) means that the image is the same size as the object. If m has a magnitude greater than 1 the image is larger than the object, and an m with a magnitude less than 1 means the image is smaller than the object. If the magnification is positive, the image is upright compared to the object; if m is negative, the image is inverted compared to the object.
Answer: 132.02 J
Explanation:
By definition, the kinetic energy is written as follows:
KE = 1/2 m v²
In our question, we know from the question, the following information:
m = 0.1434 Kg
v= 42.91 m/s
Replacing in the equation for KE, we have:
KE = 1/2 . 0.1434 Kg. (42.91)² m²/s² ⇒ KE = 132.02 N. m = 132.02 J
Answer:
The linear velocity is represented by the following expression:
Explanation:
From Rotation Physics we know that linear velocity of a point moving with uniform circular motion is:
(Eq. 1)
Where:
- Radius of rotation of the particle, measured in meters.
- Angular velocity, measured in radians per second.
- Linear velocity of the point, measured in meters per second.
But we know that angular velocity is also equal to:
(Eq. 2)
Where:
- Angular displacement, measured in radians.
- Time, measured in seconds.
By applying (Eq. 2) in (Eq. 1) we get that:
(Eq. 3)
From Geometry we must remember that circular arc (), measured in meters, is represented by:
The linear velocity is represented by the following expression:
Answer:
06 Hours
Explanation:
As per the details given in the question it self, the neutron star X-1 is revolving around its companion star. The orbital period is 1.7 years which means it will complete the revolution in 1.7 years. During the movement in the orbit we will be able to detect the x-rays except for the time when it goes behind the companion star and eclipsed by it as seen from Earth.
Since the x-rays disappear completely for around 6 hours. This clearly means that eclipse period is 06 hours.
Answer:
The time for the change in the angular velocity to occur is 14.08 secs
Explanation:
From the question,
the angular acceleration is - 4.46 rad/s²
Angular acceleration is given by the formula below
Where is the angular acceleration
is the final angular velocity
is the initial angular velocity
is the final time
is the initial time
From the question
= - 4.46 rad/s²
= 0 rad/s (starting from rest)
= -31.4 rad/s
= 0 s
Now, we will determine t
From , then
t = 7.04 secs
This is the time spent in one direction,
Since the angular displacement of the wheel is zero ( it returned to its initial position), then the time required for the change in the angular velocity will be twice this time, that is 2t
Hence,
The time is 2×7.04 secs = 14.08 secs
This is the time for the change in the angular velocity to occur.
Answer:
vf = 30 m/s : (the magnitude of the velocity of the stone just before it hits the ground)
Explanation:
Because the stone moves with uniformly accelerated movement we apply the following formulas:
vf²=v₀²+2*g*h Formula (1)
Where:
h: displacement in meters (m)
v₀: initial speed in m/s
vf: final speed in m/s
g: acceleration due to gravity in m/s²
Free fall of the stone
Data
v₀ = 10 m/s
vf = 30.0 m/s
g = 9,8 m/s²
We replace data in the formula (1) to calculate h:
vf²=v₀²+2*g*h
(30)² = (10)² + (2)(9.8)*h
(30)²- (10)²= (2)(9.8)*h
h =( (30)²- (10)²) /( 2)(9.8)
h = 40.816 m
Semiparabolic movement of the stone
Data
v₀x = 10 m/s
v₀y = 0 m/s
g = 9.8 m/s²
h= 40.816 m
We replace data in the formula (1) to calculate vfy :
vfy² = v₀y² + 2*g*h
vfy² = 0 + (2)(9.8)( 40.816)
The magnitude of the velocity of the stone just before it hits the ground is 30 m/s.
The given parameters;
initial vertical velocity of the stone, = 10 m/s
final vertical velocity of the stone, = 30 m/s
The height traveled by the stone before it hits the ground is calculated as;
If the the stone is projected horizontally with initial velocity of 10 m/s;
the initial vertical velocity = 0
Final vertical velocity of the stone is calculated as follow;
The horizontal velocity doesn't change.
the final horizontal velocity, = initial horizontal velocity = 10 m/s
The resultant of the final velocity of the stone before it hits the ground;
Thus, the magnitude of the velocity of the stone just before it hits the ground is 30 m/s.
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