(a)
A = (75.0 cm) (cos(30°) i + sin(30°) j)
A = (75.0 cm) (√3/2 i + 1/2 j)
A ≈ (64.95 i + 37.5 j) cm
The x component is the coefficient of the i unit vector, while the y component is the coefficient of the j unit vector.
(b) "points along the negative axis" in other words means that B makes an angle of 180° with the positive x-axis in the counterclockwise direction. In particular this tells you that B is parallel to the x-axis, so its y component would be zero.
B = (25.0 cm) (cos(180°) i + sin(180°) j)
B = (25.0 cm) (-1 i + 0 j)
B = (-25.0 i) cm
(c) If the negative x-axis corresponds to 180°, then 45° below this would make an angle of 180° + 45° = 225° with the positive x-axis.
C = (40.0 cm) (cos(225°) i + sin(225°) j)
C = (40.0 cm) (-1/√2 i - 1/√2 j)
C ≈ (-28.28 i - 28.28 j) cm
(d) The sum A + B + C has components that are the sums of the components of each of A, B, and C.
A + B + C ≈ (11.67 i + 9.22 j) cm
(e) The magnitude of the vector sum is
||A + B + C|| = √((11.67 cm)² + (9.22 cm)²) ≈ 14.87 cm
(f) Since both components of the vector sum are positive, you know that it's a vector that terminates in the first quadrant of the x,y-plane, so it makes an angle with the positive x-axis of
arctan(9.22/11.67) ≈ 38.3°
Which of the following biogeochemical cycles moves water through the atmosphere, surface, and crust of Earth?
A. Carbon cycle
B. Hydrologic cycle
C. Nitrogen cycle
D. Phosphorus cycle
which part of vernier caliper is used to measure internal diameter of cylinder
Answer:
Circled in Red...plus the scales, of course.
Explanation:
School PlanSchool Plannerner
The most suitable unit for expressing nuclear radius is
A) micro B) nanometre
C) fermi D) angstrom
Answer:
Fermi is used to express nuclear radius
Answer:
the most suitable unit for expressing nuclear radius is Fermi.
Suppose 2kg of glycerine have a temperature of 30°C. Heat is supplied to a steady rate of 100W. The temperature after 35 minutes is 75°C.
Calculate the specific heat capacity of glycerine.
Answer:
210000.................
The specific heat capacity of glycerine is 2333.3 J/(kg·K).
We can use the formula for heat (Q) absorbed by a substance:
Q = mcΔT
Where Q is the heat absorbed, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
We know the mass of glycerine (m = 2 kg), the time for which heat is supplied (t = 35 minutes = 2100 seconds), the rate of heat supply (P = 100 W), the initial temperature (T1 = 30°C = 303 K), and the final temperature (T2 = 75°C = 348 K).
First, we need to calculate the total heat absorbed by the glycerine:
Q = Pt
Q = 100 W × 2100 s
Q = 210000 J
Next, we can calculate the change in temperature:
ΔT = T2 - T1
ΔT = 348 K - 303 K
ΔT = 45 K
Finally, we can calculate the specific heat capacity of glycerine:
c = Q/(mΔT)
c = 210000 J/(2 kg × 45 K)
c = 2333.3 J/(kg·K)
Therefore, the specific heat capacity (c) = 2333.3 J/(kg·K).
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What product is formed by a reaction in which the hydrogen atoms of an acid are replaced by
the atoms of a metal?
A base
An oxide
A salt
An acid
The reaction of Acids with most metals and, when they do, a salt is produced without water.
4. The modern particle theory of matter was generally accepted
in what century? Whose concept of matter was overturned by
this revolution in science?
Answer:
the modern particle theory of matter was accepted in the mid-ninteenth century. Aistotle's continoues theory of matter was overturned. They gave matter order and determine many of its properties. your welcome :)
When an object of mass 200g is submerged in methanol, its apparent weight is 1.052N. When submerged in benzene its apparent weight is 0.951N. If the density of methanol is 0.8g/cm^3, What is the density of benzene?
When the object is submerged in methanol, it displaces an amount of methanol with weight 1.052 N, i.e. with mass = (1.052 N)/g ≈ 107.347 g. With a density of 0.8 g/cm³, this means the displaced methanol and hence the object itself have a volume of
v ≈ (107.347 g) / (0.8 g/cm³) ≈ 134.184 cm³
Likewise, when submerged in benzene, the object displaces 0.951 N of benzene, whose mass is (0.951 N)/g ≈ 97.041 g with the same volume as the object. So the density d of benzene is
d ≈ (97.041 g) / (134.184 cm³) ≈ 0.723 g/cm³
Why is the level of glycerin initially decreases when heated ?
Displacement vs. Time
80.0
60.0
40.0
20.0
Displacement (m)
0.0
-20.0
-40.0
-60.0
4.0
6.0
18.0
22.0
0.0 2.0
8.0 10.0 12.0 14.0 16.0 20.0
Time (s)
What is the velocity of the objected represented by the graph between 0.0 s and 4.0 s?
O 7.5 m/s
240 m/s
15 m/s
120 m/s
Please find attached photograph for your answer. Hope it helps. Please do comment. The option is c. 15m/s.
(a) A pendulum that has a period of 3.00000 s and that is located where the acceleration due to gravity is 9.79m/s2 is moved to a location where the acceleration due to gravity is 9.82m/s2. What is its new period
I assume this is the motion of the simple pendulum
T = 2π × [tex]\sqrt{\frac{L}{g } }[/tex]
=> [tex]\frac{T1}{T2 }[/tex] = [tex]\sqrt{\frac{g2}{g1} }[/tex]
Given T1= 3s g1= 9.79 g2= 9.82
=> T2 = 3.00459 s
If the magnetic flux through a certain region is changing with time: _________
a. a current must flow around the boundary
b. a magnetic field must exist at the boundary
c. an electric field must not exist at the boundary
d. an emf must exist around the boundary energy must be dissipated as heat
Answer:
It's option d. an emf must exist around the boundary
Explanation:
The Faraday's law states that an emf must exist around the boundary whenever there is a change occurring in the flux of a magnetic field.
Two falling inflated balls of different masses
land at the same time.
Answer:
-The air resistance statement goes with the pieces of paper statements
-The force of gravity statement goes with the dog statements
-The acceleration due to gravity goes with the two inflated balls
Convert using chain link method 5.3 MIN/m² to N/mm²
Answer:
hohdoqjqwfojiqjwiojdq
Explanation:
huehqofjoiqjdoiwjqiojfiwjfiojeqojefiqjojeqiojoiewqdqwwqdwqd
A car travels 40 kilometers at an average speed of 80km/h and then travels 40 kilometers at an average speed of 40km/h. The average speed of the car for this 80-km trip is
Speed = distance / time
Part 1: 40 km at 80 km per goir = 0.50 hours
Part 2: 40 km at 40 km per hour = 1 hour
The time of the trip was 1.5 hours
Total distance was 40 + 40 = 80 ins.
Speed = distance / time = 80/1.5 = 53.33 km/he ( round answer as needed)
A lot of energy is not stored in biomass, but is used for biological processes instead. Which process
releases thermal energy?
Explanation:
Respiration releases energy - it is an exothermic process. This means it releases heat energy.
The process which releases thermal energy is respiration.
What is thermal energy?The energy which increase the temperature is called the thermal energy.
Biomass energy is created but can not be stored. Same way, the respiration process which releases heat in form of air from nose or mouth. This process is exothermic.
Thus, Respiration releases thermal energy.
Learn more about thermal energy.
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in complete sentnces write down everything you know about maps. What are they for?
how Do you use them?
maps are for locating an area or a country
Explanation:
they are really beneficial because u will have the advantage to know every country and its location and lines of longitude and latitudes
What is the speed of a vehicle with a distance of 88 miles and a time of 4 hours????
The answer you are looking for is 22 mph.
Solution:
s=speed
d=distance
t=time
Setting up the formula for the speed of an object with distance and time:
s=d/t
Substituting the given values,
s=88 miles/4 hours
So, therefore, the final answer is 22 mph.
I hope this helped answer your question for you. Good day to you.
Answer:
352 miles answer
Explanation:
guessing that he kept going in a constant speed of 88 miles first you multiyply 88x4 which gives you 352 hoped it helped
Help, I really need to solve this right away!!
Answer:
can you like zoom in i cant see that much.
Explanation:
Question 1 of 10
Rays bend as they pass through a boundary between two media. This is
called:
A. indention.
B. reflection.
C. refraction.
D. diffraction.
The length, breadth and height of a box is 50cm, 20cm and 10cm respectively then find surface area of its base and volume.
I just hope this pic will help you
Two cars next to each other start moving in the same direction from rest, car A accelerates at m/s2 4 for 10 s and then travels at a constant speed, while car B accelerates at m/s2 5 until it reaches 25 m/s and then maintains This speed. What is the distance between the two cars when t = 15s?
50 POINTS!
Motion Diagrams: Observe each motion and describe how to object is moving. If the motion diagrams show more than one kind, highlight and label each kind. Please thoroughly explain. Thank you so much!
No:1
The object is moving with constant or uniform acceleration and in average speed
No:-2The object is de accelerating
No:-3The object deaccelerated and came to rest so fast.
No:-4The object moves slowly first then accelerated.
No:-5The object accelerated at first so fast then move with constant acceleration then again accelerated .
a sound wave of frequency 1210 Hz has a wave speed of 343 m/s. what is the wavelength of the wave?
Answer:
wavelength = 0.28m
Explanation:
wavelength = velocity/ frequency
wavelength = 343/1210 = 0.28m
How do Newton’s laws of motion explain why it is important to keep the ice smooth on a hockey rink so that players can pass a puck as quickly as possible?
Answer:
Newton's first law
Explanation:
Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. Therefore, when the ice is smooth, friction gets lesser, and the force acted on that Puck will be decreased.
Answer:
The first law states that “objects at rest and objects in motion remain in motion in a straight line unless acted upon by an unbalanced force”. Keeping the ice smooth will make sure there is not friction, friction would slow the puck down
Explanation:
The first law states that “objects at rest and objects in motion remain in motion in a straight line unless acted upon by an unbalanced force”. Keeping the ice smooth will make sure there is not friction, friction would slow the puck down
An airplane with a total mass of 950 kg has an engine malfunction, causing it
to provide a constant horizontal force of 3000 N. The pilot, who has a mass
of 65 kg, decides to eject from the airplane. With the reduced total mass,
what is the new approximate acceleration of the airplane?
A. 3.7 m/s2
B. 2.8 m/s2
C. 3.2 m/s2
D. 3.4 m/s2
Answer:
3.4 m/s2
Explanation:
Multiple choice Questions about the statement true and how you can be separated by filtration and the way you treat your business and your business to make your life easier and easier to understand and understand the importance of life and damage
The new approximate acceleration of the airplane will be D. 3.4 m/s2
What is Newton's second law of motion ?
Newton's second law of motion states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Initial mass = 950 kg
mass of piolet = 65 kg
reduced mass = 950 - 65 = 885 kg
according to Newton's second law of motion
force = mass * acceleration
3000 N = 885 kg * acceleration
acceleration = 3000 / 885 = 3.39 m/s^2 = 3.4 m/s^2
correct answer is D. 3.4 m/s2
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Twelve seconds after starting from rest an object falling freely will have a speed of
Answer:
(4.9)×(12)^2 m/s
Explanation:
velocity =1/2 × g× t^2
g=9.8m/s^2
t=12sec
Give reason
It is more difficult to climb a vertical slope than a slanted slope because
Answer:
because in vertical slope force of gravity is more than compared to slanted slope
Answer:
because gravity is always pulling objects down so when you climb upward gravity weighs you down, you have to use effort to move yourself in the opposite direction that gravity is pulling you that is why it is harder to climb up a slope.
Question 4 A car of mass 820 kg has a maximum power of 30 kW and moves against a constant resistance of motion to 910 N. Calculate the maximum speed of the car in the following situation; b)Up an incline (hill) of 8.75° to the horizontal?
Answer:
P = W / t = m g s / t = m g v where work by auto = m g s
30 kw = 30000 watts = 30000 J / s
Work wasted = F v as shown above relating work and power
Work done against incline = m g s sin 8.75 and power against incline
= m g v sin 8.75 = 1222 v Joules / sec
power in moving auto = power available - power lost to friction
power in moving auto = 30000 - resistance = 30000 - 910 v
1222 v = 30000 - 910 v
v = 30000 / 2132 = 14 m/s
Note: constant resistance to motion must mean P = W / t = F s / t = F v
Maximum speed will be v = 14.07 m/s
What is power ?Power is defined time rate of doing work or delivering energy.
Work done = Force * displacement
Power = work done / time
= (Force * displacement ) / time
since , displacement / time = velocity
Power = force * (displacement / time ) = force * velocity
Power = mass * acceleration * velocity ( as force = mass * acceleration)
since , car is travelling up in an incline of 8.75° to the horizontal
hence , it will have two components of velocity
vertical component = v sin (theta ) = v sin(8.75°)
horizontal component = v cos (theta)= v cos (8.75°)
Power = m* a * v sin (theta )
= 820 * 9.8 * v *sin (8.75°) ( a = g = 9.8 m[tex]/s^{2}[/tex])
= 1221.472 v
Power lost due to resistance in motion = 910 * velocity = 910 v
Power = Total power - power lost due to resistance in motion
= 30 * [tex]10^{3}[/tex] - 910 v
30 * [tex]10^{3}[/tex] - 910 v = 1221.472 v
v = 14.07 m/s
Maximum speed will be v = 14.07 m/s
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¿Qué valor de voltaje se requiere para que pasen 35 mA a través de una resistencia de 15 kΩ? Si se aplica ese mismo voltaje a una resistencia de 500Ω, ¿Cuál será la nueva corriente?
Answer:
perdón yo no hablo inglés