Answer:
So if the half-life is two days, four half-lives is 8 days. Suppose a sample has a count rate of 3,200 Becquerel (Bq) at the start, then its count rate after 8 days would be 1/16th of 3,200 Bq = 200 Bq.
vector u has a magnitude of 20 and direction of 0°.vector v has amagnitude of 40and a direction of 60°.find the magnitude and direction of the resultant
Addition of vectors:
vector u
has a magnitude of 20 and a direction of 0º with respect to the horizontal, vector v has a magnitude of 40 and a direction of 60º with respect to the horizontal.
a) Find the magnitude and direction of the resultant to the nearest whole
number.
Vector Sum:
The resultant of two vectors is simply the vector sum of the vectors. There are a handful of ways to present the resultant factor; the notation that shows the vector magnitude and direction is called the polar vector notation. An example of a vector presented in polar vector notation is
a∠θ where a is the magnitude and θis the angle that the vector makes with the horizontal axis.
Answer and Explanation:
Let's first present the vectors in rectangular vector notation.
For the vector →u of magnitude 20 and direction 0∘ to the horizontal axis, the vector is →u=^i20.
For the vector →v
of magnitude 40 and direction 60∘ to the horizontal axis, the vector is →v=^i40cos60∘+^j40sin60∘.
The resultant vector →w is the vector sum of the vectors, i.e.
→w=→u+→v
=^i20+^i40cos60∘+^j40sin60∘
=^i(20+40cos60∘)+^j(40sin60∘)
=^i40+^j20√3
For a vector ^ix+^jy, the magnitude of the vector is √x2+y2 and the direction above the horizontal axis is θ=tan−1(yx).
Let's use the formulas:
|→w|∠θ=√(40)2+(20√3)2∠tan−1(20√340)≈52.9∠40.9∘
The magnitude of the vector is about 53 units in the direction 41-degrees above the horizontal axis.
The magnitude of the resultant vector would be 60 units, and its direction will be 0°.
To find the magnitude and direction of the resultant vector when adding vectors u and v, we can use vector addition formulas:
Magnitude of the Resultant Vector (R):
R = √(u^2 + v^2 + 2uv * cosθ)
where:
u = magnitude of vector u (20)
v = magnitude of vector v (40)
θ = angle between vectors u and v (60°)
Plugging in the values:
R = √(20^2 + 40^2 + 2 * 20 * 40 * cos(60°))
≈ √(400 + 1600 + 1600)
≈ √3600
= 60
Direction of the Resultant Vector (θR):
Use the Law of Cosines to find the angle θR between the resultant vector R and vector u:
cosθR = (v^2 + R^2 - u^2) / (2 * v * R)
Plugging in the values:
cosθR = (40^2 + 60^2 - 20^2) / (2 * 40 * 60)
= (1600 + 3600 - 400) / 4800
= 1
Since cos(0°) = 1, we have θR = 0°.
So, the magnitude of the resultant vector is 60 units, and its direction is 0°.
To know more about magnitude
https://brainly.com/question/25302603
#SPJ3
People who are exceptionally tall (like seven feet and over) often have a disorder that causes them to keep growing past the age most people do in their late teens. What gland would this disorder be associated with?
A.
adrenal
B.
thyroid
C.
pituitary
D.
pancreas
Answer:
C is the answer
Explanation:
The pituitary gland also known as the Master gland controls and regulates secretion of most hormones, when taller people usually grow past expected height this is normally due to the Pituitary gland not properly regulating and it secretes too many growth hormones causing "gigantism."
Which statement best describes a physical change?
A. Changes can occur to certain chemical properties of the substance, but the overall shape of the substance will remain the same.
B. Changes can occur to certain physical properties of the substance, but the overall shape of the substance will remain the same.
C. Changes can occur to physical properties of a substance, but the chemical composition of the substance remains the same.
D. Changes can occur to chemical properties of a substance, but the chemical composition of the substance remains the same.
Answer:
c. changes can occur to certain physical properties
Explanation:
got it right on test
answer me fast. Find velocity in Acceleration Time Graph.
Explanation:
hmmm all of u stay safe
4301154259
Pas 1234
What force is represented by the vector?
O friction
O gravity
O normal force
O push
Someone pls help
Answer:
gravity
Explanation:
because it acts on a particular direction that is towards the ground
brainliest plz
You throw an orange out a widow at a height of 12 meters upwards at an angle of 32 to the horizontal with an initial velocity of 3.5m/s.How long will the orange be in flight before it hits the ground? Round the answer to the nearest tenth.__ Seconds
Answer:
3 meters
Explanation:
add up dum boi
Chauncy is driving down the hill that descends at an angle a 4.5° below horizontal. After driving 4.60 kilometers along the road, how much elevation has chauncy lost?
Answer:
360 m
Explanation:
Explanation is given in the attached image below.
At a race car driving event, a staff member notices that the skid marks left by the race car are
10.99 m long as it comes to a stop. The very experienced staff member knows that the
deceleration of a car when skidding is -42.61 m/s2. What can the staff member estimate for
the original speed of the race car if it came to a stop during the skid?
A car that experiences a deceleration of -41.62 m/s² and comes to a stop after 10.99 m has an initial velocity of 30.60 m/s.
A car experiences a deceleration (a) of -41.62 m/s² and comes to a stop (final velocity = v = 0 m/s) after 10.99 m (s).
We can calculate the initial velocity of the car (u) using the following kinematic equation.
[tex]v^{2} = u^{2} + 2as\\\\u = \sqrt[]{v^{2}-2as} = \sqrt[]{(0m/s)^{2}-2(-42.61m/s^{2} )(10.99m)} = 30.60m/s[/tex]
A car that experiences a deceleration of -41.62 m/s² and comes to a stop after 10.99 m has an initial velocity of 30.60 m/s.
Learn more: https://brainly.com/question/14851168
To improve your flexibility you can do which of the following
Answer:
Stretching
Explanation:
Stretching is a great way to improve your flexibility!
A basketball is tossed upwards with a speed of 5.0 m/s. We can ignore air resistance. What is the maximum height reached by the basketball from its release point? (Answer using a coordinate system where upward is positive.)
Answer:
the maximum height is 1.276 meters
what is his angular displacement during a 1.0 s time interval?
Answer:
The angular velocity is: (2π radians) ⁄ (4.3 sec) = 1.461 rad/sec
The angular displacement is: (1.461 rad/sec)(1 sec) = 1.461 radians
Explanation:
Hey guys <3
I need some help with this performance task,, physics isn’t my strongest subject so help is much appreciated :)
(2/9 parts)
Answer:
2)Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field. Electric charge can be positive or negative (commonly carried by protons and electrons respectively)
quỹ đạo chuyển động của vật là đường thẳng?
Explanation:
what is your language i don't no
If you decrease how much you push or pull on an object what happens to the acceleration experienced by that object?
Answer:
copy and paste
Explanation: As the power following up on an object increases, the speed of acceleration is increased. As the mass of the article is expanded, the speed increase of the item is diminished.
what is the term for the matter through which a mechanical wave travels?
it is safe to smoke smarties
Answer:
no it is not safe to smoke
Answer:
well its not affecting you lungs or anything. the only way it will affect you is if you eat to much smarties or you choke on it. so yeah it is safe to smoke smarties
Explanation:
what is the prefix of 10^10
PLEASE BE FAST :)
Which of the following would require more energy to heat it from 10°C to 20°C?
a. 200 kg of water
b. 200 kg of aluminum
C. 100 kg of steel
Answer:200kg of water
Explanation:
Which statement explains whether or not a person should use an experiment of a ball rolling down a hill as evidence that the force of gravity pulls objects straight down?(1 point) They should use it. Any experiment on Earth involving natural motion will provide direct evidence that gravity pulls objects straight down. They should use it. Any experiment on Earth involving natural motion will provide direct evidence that gravity pulls objects straight down. They should not use it. The experiment has several dimensions of motion, including one parallel to the ground, so the motion of the ball does not directly test the force of gravity. They should not use it. The experiment has several dimensions of motion, including one parallel to the ground, so the motion of the ball does not directly test the force of gravity. They should use it. The experiment shows the ball falls toward the bottom of the hill, so it provides direct evidence that gravity pulls an object downward. They should use it. The experiment shows the ball falls toward the bottom of the hill, so it provides direct evidence that gravity pulls an object downward. They should not use it. Gravity should be tested in space, and this experiment could only be tested on Earth.
The ball raised up the hill is given gravitational potential energy, which
causes it to roll spontaneously down the hill.
The statement that explains whether the ball rolling down the hill
experiment should be used is; The experiment shows the ball falls toward
the bottom of the hill, so it provides direct evidence that gravity pulls an
object downward. They should use it.
Reason:
The equation for the velocity of a ball falling down a hill is [tex]v = \sqrt{\dfrac{10}{7} \cdot g \cdot h}[/tex]
Therefore, by increasing the height from which the ball rolls down the hill,
the velocity of the ball increases, which indicates that the ball is
accelerating, and therefore, being acted on by a force, the force of gravity.
Therefore;
Given that the ball falls or moves with increasing speed towards
the bottom of the hill, which shows that the motion is due to Earth's pull
known as the gravitational force, the experiment should be used.
Learn more here:
https://brainly.com/question/3175380
Ce unitate de masura are indicele de REFRACTIE?
Answer:se obesrva ca indicele de refractie NU are unitate de masura, este adimensional. Se exprima print-un raport, de exemplu 4/3, 1,5 etc.
Explanation:
An object is travelling at a velocity of 5m/s to the right for 5 seconds. If NO forces are applied to the object, what will the velocity of the object be after 5 seconds.
Answer:
Below
Explanation:
We can use this formula to find the final velocity of the object :
vf = vi + at
Now, because no force is applied to the object, the acceleration of this object will be 0 according to Newton's 1st law!
vf = 5m/s + (0)(5)
vf = 5 m/s
Hope this helps!
A 1,336 kg car drives around a flat 199-m-diameter circular track at 22 m/s. What is the
magnitude of the net force on the car?
Hi there!
This is an example of Uniform Circular Motion, thus:
Net Force = Centripetal force
∑F = mv²/r
Plug in the given values. Remember to convert from diameter to radius, first.
d = 199m
r = d/2 = 199/2 = 99.5 m
∑F = 1336(22²)/99.5 = 6498.73 N
The graph below represents the relationship between velocity and time of travel for a toy car moving in a straight line.the shaded area under the line represents the toy cars
Answer:
Displacement
Explanation:
The definition of speed and the graphical analysis allows to find the result for the question of the meaning of the area under the curve is:
The area corresponds to the displacement of the body.
Velocity is defined as the variation of position with respect to time.
[tex]v = \frac{dx}{dt}[/tex]
Where v is the velocity, x the displacement and t the time.
If we make a graph of speed versus time, see attached, where we have a diagram of the process.
The expression of the velocity for the case of zero acceleration is
[tex]v = \frac{\Delta x}{\Delta t }[/tex]
Δx = v Δt
They indicate that the shaded section is under the curve, therefore it is
Area = Δv Δt
When comparing the two expressions they are equivalent, therefore the area is equal to the distance traveled.
In conclusion, using the definition of velocity and graphical analysis we can find the result for the question of the meaning of the area under the curve is:
The area corresponds to the displacement of the body.
Learn more here: https://brainly.com/question/823079
please help me with this
Answer:
the answer is UV Radiation
NEED HELP!!!! 15 POINTS!!!!!!!
Why is it important to have both long-term and short-term goals?
A.
Short-term goals can get repetitive, so long-term goals help maintain motivation.
B.
Short-term goals are more achievable while long-term goals are more unrealistic.
C.
Long-term goals take planning and are easier to accomplish than short-term goals.
D.
Long-term goals are often inspirational, so they are easier to meet than short term goals.
PLEASE NO LINKS
springs can stretch; so can different materials, including
A 2300-kg car slows down at a rate of 3.0 m/s2 when approaching a stop sign. What is the magnitude of the net force causing it to slow down?
The magnitude of the net force causing the 2300kg car to slow down is 6900N
HOW TO CALCULATE FORCE:
The net force applied on a moving object can be calculated by multiplying the mass of the object by its acceleration. That is;Force (N) = mass (kg) × acceleration (m/s²)According to this question, a 2300-kg car slows down at a rate of 3.0 m/s2 when approaching a stop sign. The net force causing the car to stop can be calculated as follows:F = 2300kg × 3m/s²
F = 6900N
Therefore, the magnitude of the net force causing the 2300kg car to slow down is 6900N.Learn more at: https://brainly.com/question/18109210?referrer=searchResults
which layer of the atmosphere has no definite outer limit?
To solve this, we must be knowing each and everything related to atmosphere. Therefore, thermosphere is the layer of the atmosphere has no definite outer limit.
What is atmosphere?
The atmosphere is more than simply the beautiful sky above. The atmosphere is made up of numerous levels of gases that surround the planet.
The word "atmo," which meaning vapor, smoke, or fog in Greek, is the source of the atmosphere's name. "Sphere" comes from the Greek word sphaira, which meaning ball. The term "atmosphere" refers to a vapor ball. Thermosphere is the layer of the atmosphere has no definite outer limit. The thermosphere is located between 53 miles (85 kilometers) and 375 mile (600 kilometers).
Therefore, thermosphere is the layer of the atmosphere has no definite outer limit.
To know more about atmosphere, here:
https://brainly.com/question/11487214
#SPJ5
The exosphere is the layer of the atmosphere that has no clear outer limit. The exosphere is the Earth's atmosphere's outermost layer, extending from the top of the thermosphere to the edge of space.
The exosphere, unlike the other layers of the atmosphere, gradually transitions into the vacuum of outer space with no clearly defined border.
The density and spread out of gas molecules in the exosphere are exceedingly low.
This area is made up mostly of relatively light gases like hydrogen and helium, and it is where satellites and other spacecraft circle the Earth.
Thus, the progressive reduction in density as the atmosphere merges into space accounts for the lack of a well-defined outer boundary.
For more details regarding atmosphere, visit:
https://brainly.com/question/32358340
#SPJ6
a proton, moving east, enters a magnetic field of a certain strength. because of this field the proton curves downward. what is the direction of the magnetic field?
Answer:
F = q V X B
Using the right hand rule (right hand screw) turn V into B to get direction of force which in this case is down
If V is east and F is down then one can see that B must be directed towards the south - turn V into B (south) and F will be directed downwards.
Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a frequency of 288 Hz and the speed of sound in water is 1450 m/s, what is the wavelength of the sonar signal?