Answer:
It would be 2.2 if you have to round the five to the one but if your not rounding the number, it'd be 2.1.
Explanation:
A motorbike is traveling to the left with a speed of 27.0\,\dfrac{\text m}{\text s}27.0 s m 27, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction when the rider slams on the brakes. The bike skids 41.5\,\text m41.5m41, point, 5, start text, m, end text with constant acceleration before it comes to a stop. What was the acceleration of the motorbike as it came to a stop?
Answer:
[tex]\frac{729\frac{m^{2} }{s^{2} } }{83m}[/tex]≈8.8[tex]\frac{m}{s^{2} }[/tex]
Explanation:
Lee skated 36 miles in 3h. What was the speed in which lee stated.
Answer: 12 mph
Explanation: 36 miles divided by 3 hours would be 12 mph
The period of a pendulum T depends on a constant g and the length of the pendulum ????in a relation given by
Answer:
The relation is [tex]T = 2\p \sqrt{\frac{l}{g} }[/tex]
Explanation:
Generally the mathematically relation showing the relationship between the period(T), the constant (g) and the length(l) is
[tex]T = 2\p \sqrt{\frac{l}{g} }[/tex]
You are driving at 25 m/s with your cruise control on when you see a fallen tree in the road. It takes you 0.30 s to put on the brakes, your car decelerates at a rate of 5.0 m/s2, and the tree is 75 m ahead. Will you hit the tree? Choose the correct answer and reason below.
Explanation:
Given data
velocity v= 25m/s
The time it takes to put on brake t= 0.3s
the distance covered when the brake was put on is
v=s/t
s= v*t
s= 25*0.3s
s= 7.5m
hence the distance covered is 7.5m
Also the rate of decrease in aceleration is 5m/s^2
we can also calculate the distance covered at this rate
v^2=u^2+2as
25^2= 0+2*5*s
625=10s
divide both sides by 10
s=625/10
s= 62.5m
The total distance covered between putting on the brakes and decelareation is 7.5+62.5= 70m
Given that the tree is 75m ahead, the car would not hit the tree
Solving with the Speed equation: v= d/t
(add to notes if desired)
3. Juan has ridden his bike a total distance of 20 km. If his average speed was 15km/h,
how much time did he ride for?
a)
What is given in the problem? (Circle)
b) What are we trying to find? (Square)
What will be the units to our solution?
d) Plug into the speed equation and solve.
Answer:
Explanation:
time= distance/speed
20km/ 15km/h
= 1 1/3 hours (4/3 in mixed fraction)
examples of electrostatic force
Answer:
When we run a piece of paper with the oil in our head with the help of a comb produces electrostatic force.
Balloons get attracted to another balloon when one of them are rubbed with hair.
Explanation:
Those are 2 examples of electrostatic force.
Which is not a piece of evidence that most scientists use to prove the origin of our universe?
A. Movement of the galaxies (expansion)
B. Cosmic microwave background
C. Presence of hydrogen and helium in the
correct percentages throughout the
universe
D. The contraction of objects in space
Answer:
D) The contraction of objects in space
Explanation:
A) Expansion of the universe as originated from the Big Bang is an important evidence, as B) the Cosmic microwave background which is thought to be left over from the Big Bang. The right proportion of hydrogen and helium as unprocessed material that has been detected as the basic elements from where the universe started.
The only out of context option is option D
One of the following statements is incorrect. (a) The car traveled around the circular track at a constant velocity. (b) The car traveled around the circular track at a constant speed. Which statement is incorrect and why?
Answer:
A
Explanation:
It is deemed to be incorrect because velocity deals with displacement. Or in more simple terms, distance in a specified direction.
While moving round the track, the direction keeps changing, so to say and the velocity vector changes constantly.
Speed on the other hand, is a scalar quantity that doesn't bother about nor depends on the direction being taken by the car.
that's all, I hope you understand it all
Small blocks A and B are held at rest on a smooth plane inclined at 30° to the horizontal. Each is held in equilibrium by a force of magnitude 18 N. The force on A acts upwards parallel to a line of greatest slope of the plane, and the force on B acts horizontally in the vertical plane containing a line of greatest slope (see diagram). Find the weight of A and the weight of B.
First of all, See the attachment for better understanding[tex].[/tex]
_________________________________
❂ Weight of block A :
➝ mg sin30° = 18
➝ W (1/2) = 18
➝ W = 18×2
➝ W = 36N
❂ Weight of block B :
➝ N sin30° = 18
➝ (Mg cos30°) sin30° = 18
➝ W' (√3/2)(1/2) = 18
➝ W' (√3/4) = 18
➝ W' = 72/√3
➝ W' = 41.61N
5.3 two 30 kg children in a 20 kg cart are stationary at the top of a hill. They start rolling down the 80 m tall hill and they are travelling at 30 km h-1 when they reach the bottom. how muvh work was done on the cart by friction during it's travel down the hill
Answer:
60008.4 J
Explanation:
The mass of each kid = 30 kg
mass of the cart = 20 kg
The speed of the cart down the hill = 30 km/hr = 30 x 1000/3600 = 8.33 m/s
The height of the hill = 80 m
The potential energy of the boys at the top of the hill = mgh
where
m is the total mass of the kids and the cart = (30 x 2) + 20 = 80 kg
g is the acceleration due to gravity = 9.81 m/s^2
h is their height above the ground = 80 m (on the top of the hill)
substituting, we have
potential energy PE = 80 x 9.81 x 80 = 62784 J
At an instance at the bottom of the hill
their kinetic energy = [tex]\frac{1}{2} mv^2[/tex]
where
v is their velocity = 8.33 m/s
m is their total mass = 80 kg
substituting, we have
kinetic energy KE = [tex]\frac{1}{2}*80*8.33^2[/tex] = 2775.6 J
Total work done on the cart is equal to the energy lost by the cart when it reached the bottom of the hill
work done by friction = PE - KE = 62784 - 2775.6 = 60008.4 J
A car travels north along a straight highway at an average speed of 85 km/h. After driving 2.0 km, the car passes a gas station and continues along the highway. What is the car’s position relative to the start of its trip 0.25 h after it passes the gas station?
Answer:
x_total = 23250 m
Explanation:
This is a uniform motion exercise, the equation that describes the motion is
v = x / t
the position is
x = v t
let's reduce the magnitude to the SI system
v = 85 km / h (1000 m / 1km) (1h / 3600 s) = 23.61 m / s
t = 0.25 h (3600 s / 1h) = 900 s
let's calculate
x₁ = v t₁
x₁ = 23.61 900
x₁ = 21250 m
The distance from the origin is
x_total = x_station + x₁
x_total = 2000 + 21250
x_total = 23250 m
Machines
A pulley system having 5 pulleys is used to
raise a 450 N load. Find the Mechanical
advantage and hence the effort if the
efficiency is 75%.
Explanation:
Hey there!!
Here, Given is,
Efficiency = 75%
VR = no. of pulleys = 5
Now,
[tex]effeciency = (\frac{ma}{vr} ) \times 100\%[/tex]
[tex]75\% = \frac{ma}{5} \times 100\% [/tex]
100% ma = 75%×5
[tex]ma = \frac{75\% \times5}{100\%} [/tex]
[tex]ma = \frac{375\%}{100\%} [/tex]
Therefore, MA is 3.75.
Hope it helps...
Answer:
MA=3.75
Explanation:Given that, E=75%, VR=no. of pulley=5
NOW,
E=(MA/VR)*100%
75%=(MA/5)*100%
MA=(75%*5)*100%
MA=375%/100%
∵MA=3.75
Calculate the workdone by a bricklayer who lifted cement block of mass 10kg from the floor to the height of 3cm g=9.8m
Answer:
The work done is 2.94 Nm.
Explanation:
First, you have to find the force of a brick layer using the formula, Force = mass×gravity :
[tex]f = m \times g[/tex]
[tex]let \: m = 10,g = 9.8[/tex]
[tex]f = 10 \times 9.8[/tex]
[tex]f = 98N[/tex]
Given that the force of a brick layer is 98N. Next, you have to apply work done formula, Work done = force×distance :
[tex]w.d = f \times d[/tex]
[tex]let \: f = 98,d = 0.03m[/tex]
[tex]w.d = 98 \times 0.03[/tex]
[tex]w.d = 2.94Nm[/tex]
A car drives 30 meters north, then turns around and drives 50 meters south. What was its distance?
Answer:
The total distance moved by the car is 80 metres
Explanation:
Given
North = 30 meters
South = 50 meters
Required
Determine the distance
Distance is a scalar quantity and hence, the total distance is the summation of distance moved in both directions
i.e.
[tex]Total\ Distance = North + South[/tex]
[tex]Total\ Distance = 30\ metres + 50\ metres[/tex]
[tex]Total\ Distance = 80\ metres[/tex]
Hence;
The total distance moved by the car is 80 metres
What is groups of organs that work together to complete a process in the body
Answer:
A System
Explanation:
There are many systems including the circulatory and nervous system where multiple organs work together to perform a job.
A hot–air balloon is moving at a speed of 10.0 meters/second in the +x–direction. The balloonist throws a brass ball in the +x–direction at a velocity of +4 meters/second with respect to himself. If the ball lands after 30 seconds, about how far does it land horizontally from the point at which it was released?
A. 120 meters
B. 125 meters
C. 300 meters
D. 420 meters
Answer:
Option (D) is correct.
Explanation:
The balloon lands horizontally at a distance of 420 m from a point where it as released.
Velocity of air balloon along +X axis =10 m/s
velocity of ball=4 m/s along + X axis
the velocity of balloon gets added to the velocity of ball. So the resultant velocity of the balloon=10+4 = 14 m/s
time taken= 30 s
The distance traveled is given by d= v t
d= 14 (30)
d= 420 m
Thus the balloon lands horizontally at a distance of 420 m from a point where it as released.
Question 5 of 10
Which option is an example of a conceptual model?
A. A clay ball with a slice cut out, showing the layers of Earth
B. A mental image of gas molecules as tiny balls
C. A diagram of a flagpole and its shadow with measurements
provided to calculate the length of the shadow
D. A weather map created by Doppler radar
Answer:
B. A metal image of gas molecules as tiny balls
Answer:
B. A mental image of gas molecules as tiny balls
Two students want to determine if the acceleration of an object in free fall depends on the mass of the object. They conduct the following experiment to investigate this question: They drop a balled up sheet of paper (0.005 kg), a notebook (0.4 kg), and their physics book (5 kg) from a height of one meter. If air resistance is ignored, which of the following best predicts which object will experience the greatest acceleration?
Answer:
All the objects experience the same acceleration
Explanation:
According to Newton's law of universal gravitation, we have the gravitational force F given by the relation;
[tex]F=G \times \dfrac{M_1 \times m_{2}}{R^{2}}[/tex]
Where;
G = The universal gravitational constant
M₁ = The mass of the Earth
m₂ = The mass of the object in the Earths gravitational field
R = The radius of the Earth
Therefore, we have;
[tex]F= m_2 \times a = G \times \dfrac{M_1 \times m_{2}}{R^{2}}[/tex]
Which gives;
[tex]a = G \times \dfrac{M_1 }{R^{2}} \ which \ is \ a \ constant = 9.80665 \ m/s^2, \ known \ as \ g, \ which \ is \ \\the \ (acceleration \ due \ to \ gravity)\\[/tex]Therefore, based on the above calculation, all three object will have the same acceleration due to gravity, g, when air resistance is ignored.
Define the problem. Look around your house or outside. Is there anything that you're wondering about or have questions about?
Answer:
Water
Explanation:
How do we have water at our disposal, like that's crazy.
what is the mass of 1 litter of liquid in grams, if the density of liquids is 13.6g/ cm^3
Explanation:
1 L = 1000 cm³
m = ρV
m = (13.6 g/cm³) (1000 cm³)
m = 13,600 g
When you stand outside your are standing in the, Stratosphere. Troposphere. Mesosphere no
A toy car is moving across a table with a velocity of 7.0 m/s and drives off the end. The table is 1.8 m tall. How long will the car be in the air before it crashes on the floor? a 0.6 seconds b 0.8 seconds c 0.4 seconds d 0.2 seconds
Answer:
Option D - 0.2 s
Explanation:
We are given;
Initial velocity; u = 7 m/s
Height of table; h = 1.8m
Now,since we want to find the time the car spent in the air, we will simply use one of Newton's equation of motion.
Thus;
h = ut + ½gt²
Plugging in the relevant values, we have;
1.8 = 7t + ½(9.8)t²
4.9t² + 7t - 1.8 = 0
Using quadratic formula to find the roots of the equation gives us;
t = -1.65 or 0.22
We can't have negative t value, thus we will pick the positive one.
So, t = 0.22 s
This is approximately 0.2 s
a dictatorship can also be a democracy
GIVING BRAINLIST PLZ HELP The steps below identify the part of the process to become a U.S. citizen, the naturalization process. Use the steps below to answer the following question. 1. Be a legal resident in the U.S. for at least 5 years. 2. Complete an application 3. ? 4. Take the Oath of Allegiance What is missing in the process above? A: Register for Selective Service System B: Interview and pass civics test C: Complete a background check D: Receive an appointment letter is da correct answer B
Answer:
Yes the correct answer is B
Explanation:
Muscle fibers move back and forth during _____.
Answer:
it must move back and forth during sex
A doctor ran 100 meters in 20 seconds a duck slowly waddled 20 feet in 2 minutes some dude flew 100 miles in 2 hours Dave rolled down a hill he rolled 300 meters 30 seconds
Answer:
1. 50 m/s 2. 10 ft/min 3. 50 miles/hour 4. 10 m/s
Explanation:
We are required to calculate the speed in each instant
Since speed = distance/time,
1. For the doctor, speed = distance/time = 100 m/20 s = 50 m/s
2. For the duck, speed = distance/time = 20 feet/ 2 min = 10 ft/min
3. For the dude who flew, speed = distance/time = 100 miles/ 2 hours = 50 miles/hour = 50 mi/h
4. For Dave who rolled down the hill, speed = distance/time = 300 metres/ 30 s = 10 metres/ second = 10 m/s
There is a hot iron nail and a liter of boiling water. Which one has heat energy? Why?
Guys plz answer it fast
Answer:
Boiling Water.
Explanation:
Because there is still kinetic energy in the water. Thus it has heat energy.
How can accuracy be limited?
Answer:
accuracy refers to the deviation of a measurement from a standard or true value of the quantity being measured
Three remote control cars are identical size and weight. The motors installed in the three cars are 100 watts, 150 watts and 200 watts respectively. Describe what will be true about the maximum speed of each car? Explain.
Answer:
The true statement about the maximum speed of each car will be that the power of each car directly proportional to the speed of each car.
Explanation:
Given that,
Power of first car = 100 watt
Power of second car = 150 watt
Power of third car = 200 watt
We know that,
Power :
The power is directly proportional to the cube of speed.
In mathematically,
[tex]P\propto v^3[/tex]
Where, P = power
v = speed
If the power is increased then the speed will be increase.
We need to find the maximum speed of car
According to question,
The power of car is maximum so the speed of car will be maximum.
For first car,
The power of first car is 100 watt.
So, the speed of first car will be 1000000 m/s.
For second car,
The power of second car is 150 watt.
So, the speed of second car will be 3375000 m/s.
For third car,
The power of third car is 200 watt.
So, the speed of first car will be 8000000 m/s.
Hence, The true statement about the maximum speed of each car will be that the power of each car directly proportional to the cube of speed of each car.
how fast does the light travel in a glass refractive index of 1.5?
Answer:
the light travels at a velocity of [tex]2\,\,10^8 \frac{m}{s}[/tex] in the glass
Explanation:
Recall that the refractive index of a material (n) is defined as the quotient between the speed of light in vacuum (c), and the speed of light in the medium (v). Therefore we can solve for the speed of light in the medium if we know the index of refraction it has:
[tex]n=\frac{c}{v} \\v=\frac{c}{n} \\v=\frac{3\,\,10^8}{1.5} \frac{m}{s} \\v=2\,\,10^8 \frac{m}{s}[/tex]