The car will have traveled further than the truck
Explanation:Note that:
The distance of a velocity-time graph is determined by the area under the graph
By considering the areas under the curve:
The distance covered by the car = Area of a rectangle
The distance covered by the truck = Area of a triangle
This means that the distance covered by the car is double the distance covered by the truck.
Therefore, the car will have traveled further than the truck
A properly exposed photograph is taken at f/16 and 1/120s. What lens opening is required if the shutter speed is 1/60s
Answer:
f / 8
Explanation:
The f-number is the ratio of the lens's focal length to its diameter and is a measure of the intensity of the light reaching the CCD. The smaller the greater the intensity of the light
I = D / f
f-number = f / D
I = 1 / f-number
the energy deposited in the CCD is proportional to the intensity of the light and the exposure time (Δt)
E = I Δt
E = 1 /f-number Δt
in the exercise they indicate that the system is well exposed (the image is sharp and clear) for fo-number = f / 16
Δt = exposure time = 1/120 s
E = \(\frac{1}{120} \ \ \frac{1}{fo-number}\)
indicate that the exposure time has been changed to Δt = 1/60 s, which should be the f₁-number
E = \(\frac{1}{60} \ \ \frac{1}{f_1-number}\)
the energy deposited must be the same per location we can equal the expressions
\(\frac{1}{120} \ \frac{1}{f_o-number} = \frac{1}{60} \ \frac{1}{f_1-number}\)
f₁-number = \(\frac{60}{120} \ \ \frac{1}{fo-number}\)
f₁-number = ½ 16
f₁-number = 8
so the system should be set to f / 8
State any five (5) clinical uses of heat enery .
The therapeutic effects of heat include increasing the extensibility of collagen tissues; decreasing joint stiffness; reducing pain; relieving muscle spasms; reducing inflammation, edema, and aids in the post acute phase of healing; and increasing blood flow.
What is the role of heat energy in the body?In the process of ATP production by cells throughout the body, approximately 60 percent of the energy produced is in the form of heat used to maintain body temperature. Thermoregulation is an example of negative feedback.
Why is heat used as a treatment during health care?
Heat treatments should be used for chronic conditions to help relax and loosen tissues, and to stimulate blood flow to the area. Heat is a great treatment option for chronic conditions caused from old injuries or even arthritis. Heat can be applied before participating in activities to help limber up.
So we can conclude that heat is one of the most important form of energy for our daily life.
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A light, inextensible cord passes over alight, frictionless pulley with a radius of15 cm. It has a(n) 18 kg mass on the left and a(n) 2.6 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 1.5 m apart.The acceleration of gravity is 9.8 m/s².
At what rate are the two masses accelerating when they pass each other answer in units of m/s^2
Answer:
quizlet
Explanation:
they help
2. You are traveling along a highway at night at a speed of 100 km/h when you spot an object directly in front of you in the road at the limit of your headlights. (10 Marks)
a) If the maximum braking deceleration that your car can provide is 7 m/s2, and if your headlights extend out to a range of 30 m, will you hit the object before coming to a stop?
b) How long will it take to stop?
a) To determine if the car will hit the object before coming to a stop, we need to calculate the distance required to stop the car, assuming maximum braking deceleration. We can use the following formula:
d = (v^2) / (2a)
where:
d = distance required to stop
v = initial velocity
a = acceleration/deceleration
In this case, v = 100 km/h = 27.78 m/s (converted from km/h to m/s)
a = -7 m/s^2 (negative sign indicates deceleration)
We know that the car's headlights extend out to a range of 30 m, so if the distance required to stop the car is greater than 30 m, the car will hit the object before coming to a stop.
Plugging in the values to the formula, we get:
d = (27.78^2) / (2 x -7) = 108.61 m
Since 108.61 m is greater than 30 m, the car will hit the object before coming to a stop.
b) To calculate the time required to stop, we can use the following formula:
t = v / a
where:
t = time required to stop
v = initial velocity
a = acceleration/deceleration
Plugging in the values, we get:
t = 27.78 / 7 = 3.97 s
Therefore, it will take 3.97 seconds to stop the car.
Five lamp, each labbled "6V,3W" are operated at normal brightness. What is the total energy supplied to the lamps in five seconds.
Answer:
E = 75 J
Explanation:
First, we will calculate the total power consumed by the five lamps:
\(Total\ Power = P = (5)(Power\ of\ one\ lamp)\\P = (5)(3\ W)\\P = 15\ W\)
Now, the energy supply can be calculated as follows:
\(E = Pt\)
where,
E = Energy = ?
t = time = 5 s
Therefore,
E = (15 W)(5 s)
E = 75 J
A Ferris wheel rotates three times each minute. It carries each car around a circle with the diameter of 19.0m. What force, magnitude (in N) and direction (in degrees), does the seat exert on a 35.0-kg child when the rider is halfway between the top and the bottom?
The forces acting on the child are the force of gravity and the normal force, which is the force exerted by the seat on the child. the force exerted by the seat on the child has a magnitude is Fn = 342.5N. the direction of the normal force is 45 degrees from the horizontal in the upward direction.
The Ferris wheel's speed can be calculated as follows: v = distance / time v = πd / tv = (3.14 * 19.0 m) / 1 min v = 60.66 m/min
The acceleration of the Ferris wheel can be calculated as follows: a = (v²) / ra = (60.66 m/min)² / (19.0 m / 2)a = 194.6 m/min²
The forces acting on the child are the force of gravity and the normal force, which is the force exerted by the seat on the child.
The magnitude of the normal force is equal to the sum of the weight of the child and the centripetal force acting on the child.
In this case, the child is halfway between the top and the bottom, so the angle between the normal force and the vertical direction is 45 degrees (90 degrees divided by 2).
As a result, the force exerted by the seat on the child has a magnitude of:
Fn = Fg + Fcf = maFn = (35.0 kg) * (9.8 m/s²) + (35.0 kg) * (194.6 m/min²)Fn = 342.5 N
The direction of the normal force is perpendicular to the seat, which is horizontal.
Since the angle between the normal force and the vertical direction is 45 degrees, the angle between the normal force and the horizontal direction is also 45 degrees.
Therefore, the direction of the normal force is 45 degrees from the horizontal in the upward direction.
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Find the force in free space between two like point charges of one coulomb each placed one metre apart
Explanation:
\({ \rm{force = \frac{q _{1}q _{2} }{4\pi \phi \: {r}^{2} } }} \\ \)
q is charge4πQ is 1 / (9 × 10^9)r is separation distance\({ \rm{force = \frac{1 \times 1 \times 9 \times {10}^{9} }{ {1}^{2} } }} \\ \\ { \boxed{ \rm{force = 9 \times {10}^{9} \: newtons }}}\)
Which layer of the atmosphere is most likely to protect life on Earth from ultraviolet radiation
Answer:
ozone layer
Explanation:
The ozone layer forms a thin shield in the upper atmosphere protecting life on earth from UV rays. Ozone is a naturally occurring gas that is found in two layers of the atmosphere
How does the release of energy during fusion provide evidence of mass-energy equivalence?
The release of energy during fusion because the mass of the resulting single nucleus is smaller than the combined mass of the two initial nuclei, the process produces energy. Remaining mass is converted to energy.
what is Nuclear fusion?
A reaction known as nuclear fusion occurs when two or more atomic nuclei fuse to create new atomic and subatomic particles.
Mass energy equivalence describes the relation between mass and energy when system is in rest frame. According to Einstein's equation, mass and energy can be transformed into one another (E=mc2).
when energy is lost the mass of the system will also decrease in proportion. The energy and mass can be discharged into the environment as heat energy or radiant energy like light.
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This means that the release of energy from a nuclear reaction creates enough of a mass difference to be measured.
Mass-Energy EquivalenceAccording to mass-energy equivalence, mass is merely concentrated energy. The formula E=mc2 was created by Albert Einstein for his special relativity theory. Mass contains a huge quantity of energy. The energy in a 20g marble is equivalent to a 500 kiloton hydrogen bomb, but it is incredibly difficult to unleash. When matter and antimatter come together, a process known as matter-antimatter annihilation, it can be liberated. Because of the changes in mass, it is evident why nuclear processes produce so much more energy than chemical ones.To learn more about Mass-Energy Equivalence refer:
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When the temperature is expected to drop below freezing, a farmer places large tubs of water in an unheated food storage shed. Write two or three sentences explaining why the farmer uses this technique to protect the produce from freezing. Hint: Remember that liquid water has more potential energy than ice.
The farmer uses this technique to protect the produce from freezing because as the water in the tubs begins to freeze, it releases heat. This heat can help to keep the surrounding air in the shed above freezing, protecting the produce from freezing as well. Additionally, as the water in the tubs freezes, it releases latent heat of fusion, which is the energy required to change a substance from a solid to a liquid. This energy is also released in the form of heat, further helping to keep the produce from freezing.
a particle weighing 250N accelerates from 8.5m/s when a force of 125N acts on it. Find the velocity after 5.5sec
The velocity of the particle after 5.5 seconds is 11.25 m/s.
To find the velocity of the particle after 5.5 seconds, we can use the equation of motion:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Given:
u = 8.5 m/s (initial velocity)
a = F/m = 125 N / 250 N = 0.5 m/\(s^2\) (acceleration)
t = 5.5 sec (time)
substitute the values:
v = 8.5 m/s + (0.5 m/\(s^2\))(5.5 sec)
v = 8.5 m/s + 2.75 m/s
v = 11.25 m/s
Therefore, the velocity of the particle after 5.5 seconds is 11.25 m/s.
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the object that emit light when they are hot called.......
If you double the compression of a spring it’s elastic potential energy will do what
Answer:
When you stretch or compress a spring you work against the restoring force of the spring. This work is stored as elastic potential energy in the spring. The more you stretch or compress the spring, the more work is done by you and more energy is stored.
This is also evident from the expression of the potential energy ( U ) -
U=(1/2)kx2
Where x is the displacement from the unstretched position of the spring. Greater is the x. more is the energy stored.
How would speed change if the wave period increase
Answer:
The greater the period the faster the wave moves (Figure 10.5).
Explanation:
WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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Question 4
Why do some competitive swimmers shave their heads and bodies?
А
To decrease weight
B.
to increaase blood flow
C
to decrease friction
D
to increase buoyancy
Answer:
C
Explanation:
It takes the elevator in a skyscraper 4.0 s to reach its cruising speed of 10 m/s. A 60 kg passenger gets aboard on the ground floor.
1. What is the passenger's apparent weight before the elevator starts moving?
2. What is the passenger's apparent weight whilethe elevator is speeding up?
3. What is the passenger's apparent weight afterthe elevator reaches its cruising speed?
Answer:
1. 588 N
2. 738 N
3. 588 N
Explanation:
time, t = 4 s
initial velocity, u = 0
final velocity, v = 10 m/s
mass, m= 60 kg
1.
Weight of passenger before starts
W =m g = 60 x 9.8 = 588 N
2.
When the elevator is speeding up
v = u + a t
10 = 0 + a x 4
a = 2.5 m/s2
Now the weight is
W' = m (a + g) = 60 (9.8 + 2.5) = 738 N
3.
When he reaches the cruising speed, the weight is
W = 588 N
Define in your own words what Economics is about?
Answer:
Economics definition, the science that deals with the production, distribution, and consumption of goods and services, or the material welfare of humankind.
Flow between Coaxial Cylinders (10) The space between two coaxial cylinders is filled with an incompressible fluid with constant temperature. The radii of the inner and outer wetted surfaces are kappa R and R, respectively. The angular velocities of rotation of the inner and outer cylinders are Ohm_1 and Ohm_0. Determine the velocity distribution in the fluid, the torque exerted by the inner cylinder on the fluid, and the torque exerted by the outer cylinder on the fluid. List and number all assumptions you made. Label each cancelled term in the equations of change with the number corresponding to the assumption used.
u=2yy2, where u is the force in m/s at a range of y m above the plate, gives the flow rate for the flow above a flat plate.
What is velocity, simply put?The pace at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. The definition of velocity is the determination of a moving object's speed and direction (for example, 60 km/h to the north).
Assumptions:
1. The fluid is incompressible and has a constant temperature.
2. The fluid's velocity is axisymmetric.
3. The flow is consistent.
4. The flow pattern is laminar.
5. The velocity is zero at the inner and outer wetted surfaces.
6. The gravitational effects are insignificant.
7. The fluid's dynamic viscosity is constant.
The Navier-Stokes equations' coefficients are constant.
9. The cylinder sides are smooth.
10. The gradient of pressure is radial.
Velocity Distribution:
The velocity distribution in the fluid is given by the following equation:
U(r) = Ohm_1*kappa*R + (Ohm_0 – Ohm_1)*(r-kappa*R)/(R-kappa*R)
Torque Exerted by Inner Cylinder:
The torque exerted by the inner cylinder on the fluid is given by the following equation:
T_1 = 2*pi*R*mu*(Ohm_1*kappa*R + (Ohm_0 – Ohm_1)*(r-kappa*R)/(R-kappa*R))^2
Torque Exerted by Outer Cylinder:
The torque exerted by the outer cylinder on the fluid is given by the following equation:
T_2 = 2*pi*R*mu*(Ohm_0*R + (Ohm_1 – Ohm_0)*(r-R)/(kappa*R-R))^2
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Ô tô chuyển động trên đường cong có bán kính R = 300(m). Nếu vận tốc ôtô tăng đều từ v1 =
20(m/s) đến v2 = 35(m/s) trong thời gian t = 5(s). Xác định độ lớn gia tốc của ôtô khi vận tốc của ôtô là
v3 = 30(m/s)
Answer:
Mc ,12,4
Explanation:
An object floats with half its volume beneath the surface of the water. The volume of the object is 3.5 m. What is the weight of the object? The density of water is 1000 kg/m3
Answer:
Since the object is floating, the buoyant force equals the weight of the water displaced:
W = d g v where d is the density of water and v = V/2 where v is the volume of the water displaced and v = V/2 where V is the volume of the object.
W = 1000 kg/m^3 * 9.8 m/s^2 * (3.5 /2 m^3)
W = 17150 kg m / s^2 = 17150 N
When an object floats with half its volume beneath the surface of the water. If the volume of the object is 3.5 m,then the weight of the object would be 17167.5 N if the density of water is 1000 kg/m3
What is density?It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.
The density is the reciprocal of the specific volume of any substance.
The mathematical formula for density is given below
ρ =m /V
where ρ is the density of the substance
m is the mass of the substance
V is the volume of the substance
As given in the problem an object floats with half its volume beneath the surface of the water. The volume of the object is 3.5 m
The density of water is 1000 kg/m3
According to the Archimedes principle, the buoyancy force acting on the floating object is equal to the weight of the fluid displaced by it
W = ρ g V
Given the object floats with half its volume beneath the surface of the water means the volume of the water displaced is half of the volume of the object
V=3.5/2 m³
W = 1000×9.81×3.5/2
= 17167.5 N
Thus, the weight of the object is 17167.5 N
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If it takes Tanya 9.4 hours to get to her cousin's house while driving an average of 40 mph, how far away does her
cousin live?
Answer:
376 miles
Explanation:
speed = distance / time
therefore distance = speed * time
distance = 40 miles/hr * 9.4 hr
then
distance = 375 miles
How does the time of flight differ between an object launched from a height parallel to ground and an object launched from the ground with an angle of elevation ?
Answer:
Y = Vy t - 1/2 g t^2 height Y after time t
Y1 = -1/2 g t^2 object launched with no vertical velocity
Y2 = Vy t - 1/2 g t^2 object launched with vertical speed Vy
Obviously Y2 is greater than Y1
Y1 will reach a given negative vertical height sooner than Y2
4
What is a mechanical wave? Give an example.
A mechanical wave propagates through a medium by physical motion. Example: sound wave or seismic wave.
A mechanical wave is a kind of wave that multiplies through a medium, similar to a solid, liquid, or gas, through real development of the particles of the medium. The development of the particles makes a disturbance in the medium, which then, makes some separation from the wellspring of the exacerbation as a wave. A delineation of a mechanical wave is a sound wave, which is made by the vibration of air particles. Right when a sound is conveyed, it causes a disrupting impact in the enveloping air, making areas of stuffed and slim air that development away from the wellspring of the sound as a wave. Another representation of a mechanical wave is a seismic wave, which is made by a tremor and goes through the ground.
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3. A 1.23 kg object slides down a 1.25 m incline of 35º. Use the data table to construct a graph for force due to gravity vs. distance. Trial 1 Trial 2 Trial 3 Averages Distance (m) 1.25 1.32 1.28
4. Based on the graph in #3, calculate the work done by gravity. Assume work is constant for this data.
5. Using the data from #3, construct a free body diagram and calculate work done by gravity. Explain how this value compare to the value determined graphically in #4.
Remember that this object is on an angle. You'll need to multiply the value for work by cos0
Keep in mind that you'll need to use the angle that forms between the force of gravity and distance.
Answer:
Explanation:
To construct a graph of force due to gravity vs. distance, we need to collect data for force due to gravity (Fg) and distance (d) and plot the data points on a graph. From the information given, we have the mass of the object (1.23 kg) and the angle of the incline (35º), but we do not have any data for force due to gravity or distance. Without this data, it is not possible to construct a graph for force due to gravity vs. distance.
Since we don't have the data for force due to gravity or distance, it's not possible to calculate the work done by gravity using the data table.
Without the data for force due to gravity, distance, or time it's not possible to construct a free-body diagram or calculate work done by gravity. Also, we don't have the angle of the incline, so we cannot calculate the work done by gravity by multiplying it by the cosine of the angle.
It's important to note that work done by gravity (W) = force due to gravity (Fg) x distance (d) x cos(theta), where theta is the angle between the force of gravity and the distance.
It's also important to remember that work is a scalar quantity and not a vector, and it's the angle between the force and the displacement that is important to calculate the work done by gravity, not the angle of the incline.
Does a basketball, baseball, tennis ball, or marble MOST LIKELY have the smallest volume?
Answer: tennis ball
Explanation:
What units must be used for mass in
the calculation of kinetic energy?
Answer:
The units of kinetic energy are mass times the square of speed, or kg⋅m2/s2 kg ⋅ m 2 /s 2. But the units of force are mass times acceleration, kg⋅m/s2 kg ⋅ m/s 2, so the units of kinetic energy are also the units of force times distance, which are the units of work
Explanation:
EDGE 2021
Please do help me. Nonsense answers will be reported.
An object is thrown horizontally with a speed of 30 m/s from the top of a building. Complete the table below for the indicated time interval. Use g≈ 10 m/s²)
The time that was taken for the movement of the item is observed as 3 seconds.
How do you use the equations of motion?The equations of motion describe the motion of objects in terms of their position, velocity, acceleration, and time.
For the equation;
v = u + at
This equation relates the final velocity (v) of an object to its initial velocity (u), acceleration (a), and time (t). If three of these variables are known, the equation can be rearranged to solve for the unknown variable.
We know that;
v = u - gt
We know that the object would come to rest after being thrown.
0 = 30 - 10t
-30 = - 10t
t = 3 seconds
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PLEASE HELP
What is the change in internal energy if 80 J of thermal energy is released
from a system, and 30 J of work are done on the system? Use AU = Q-W.
Answer: Delta U = 30 - 80; -50 jules
Explanation:
The system is losing 80 J, but it is also gaining 30 J because the surroundings are doing work on it. So the net change in energy is -50 J
Example 7.1
. A thunder was heard 4 s later after the lightning is seen. If the distance of the
lightning is 1396 m away from the observer, what is the speed of sound at
that temperature?