What is the distance required to stop (i.e., braking distance) of a passenger car when brakes are applied on a 2% downgrade if that vehicle is traveling at 40 mph
Answer:
The value is [tex]d = 161 \ ft[/tex]
Explanation:
From the question we are told that
The gradient is G = 2% = 0.02
The initial speed of the vehicle is u = 40 mph
Generally the breaking speed is mathematically represented as
[tex]d = \frac{u^2}{30 [\frac{a}{g} - G ]}[/tex]
Here [tex]\frac{a}{g}[/tex] is equal to longitudinal friction coefficient which has a value of
[tex]\frac{a}{g} = 0.35[/tex]
So
[tex]d = \frac{40^2}{30 [0.35 - 0.02 ]}[/tex]
=> [tex]d = 161 \ ft[/tex]
A completely inelastic collision occurs between two balls of wet putty that move directly toward each other along a vertical axis. Just before the collision, one ball, of mass , is moving upward at and the other ball, of mass , is moving downward at . How high do the combined two balls of putty rise above the collision point
Complete question is;
A completely inelastic collision occurs between two balls of wet putty that move directly toward each other along a vertical axis. Just before the collision, one ball, of mass 3.0 kg, is moving upward at 20 m/s and the other ball, of mass 2.0 kg, is moving downward at 12 m/s. How high do the combined two balls of putty rise above the collision point? (Neglect air drag.)
Answer:
2.64 m
Explanation:
We are told the collision between the two balls is completely inelastic. This means that they will stick together after collision.
Since momentum is conserved and they stick together after collision, the formula for inelastic collision is;
m1•v1 + m2•v2 = (m1 + m2)v
Where v is the velocity after Collision.
We are given;
m1 = 3 kg
v1 = 20 m/s
m2 = 2 kg
v2 = -12 m/s (negative because it's moving downwards)
Thus, plugging into the equation, we have;
(3 × 20) + (2 × -12) = (3 + 2)v
60 - 24 = 5v
36 = 5v
v = 36/5
v = 7.2 m/s
To find the height that the combined two balls of putty rise above the collision point, we will use the formula;
v² = u² + 2gh
After the collision, initial velocity is the one they moved with after colliding. Thus, u = 7.2 m/s and final velocity is v = 0 m/s
Making h the subject and Plugging in relevant values, we have;
h = (v² - u²)/2g
Since gravity is acting in a direction opposite to the motion, then g = -9.81 m/s²
Thus;
h = (0² - 7.2²)/(2 × -9.81)
h = -51.84/-19.62
h = 2.64 m
4300 seconds is equal to:
a. 1 hour, 11 minutes, 40 seconds
b. 2 hours, 10 minutes, 0 seconds
c. 11 hours, 56 minutes, 40 seconds
d. 71 hours, 40 minutes, 0 seconds
Answer:
A
Explanation:
4300 ÷ 60 = 71.6666 minutes
60 mins = 1 hour
71.6666 - 60 = 11.6666
1 hour and 11 mins
A swimmer swims 20 m in 40 s. What is swimmer’s average speed?
Answer:
s = d/t = 20 m/40 s = 0.5 m/s
Explanation:
A swimmer swims a distance of 20 m in a time of 40 seconds, then the speed of the swimmer is 0.5 m/s.
What is Speed?The speed of an entity, which is a scalar quantity in regular usage and kinematics, can be defined as the size of the change in direction per unit time or the size of the change in position over time for an object. The initial speed is the upper limit of maximum pace as the duration of a time interval gets closer to zero.
The average pace of the object over an amount of time is computed by subtracting its distance traveled by the length of the interval. Velocity and speed are not the same.
As per the given data provided by the question,
Distance, d = 20 meters
Time, t = 40 seconds
Then average speed, s = d/t
s = 20/40
s = 0.5 m/s.
Therefore, the average speed of the swimmer is 0.5 m/s.
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What is the maximum torque on a 213-turn square loop of wire 18.0 cm on a side that carries a 65.0-A current in a 1.60-T field
Answer:
The maximum torque on the loop is 717.73 N.m
Explanation:
Given;
number of turns, N = 213 turns
side of the square loop, L = 18 cm = 0.18 m
current in the loop, I = 65 A
magnetic field though the loop, B = 1.6 T
Area of the loop, A = L² = (0.18 )² = 0.0324 m²
The maximum torque on the loop is given by;
τ = NBIA
Substitute the given values and solve for maximum torque (τ);
τ = (213)(1.6)(65)(0.0324)
τ = 717.73 N.m
Therefore, the maximum torque on the loop is 717.73 N.m
The compass of an airplane indicates that the airplane is heading north. The airplane is moving at an airspeed of 230 km/h. The wind is blowing east at 55 km/h.
1.What is the speed of the plane with respect to the ground?
2.How many degrees east of north is the plane’s velocity with respect to the ground?
Answer:
Explanation:
airspeed is speed with respect to air .
Let speed of airplane with respect to ground be V .
wind is blowing east at 55 km/h
airplane is heading north with speed V
Resultant of V and 55 km /h is 230 km/h
V² + 55² = 230²
V² = 52900 - 3025
V = 223.32 km/h
Let θ be the required angle
Tanθ = 55 / 223.32 = .246
θ = 14⁰ .
Describe how carbon and oxygen form carbon dioxide
enter your answer in the space provided
Answer:
Carbon and oxygen can integrate to form gases. whilst combustion of carbon is complete, i.e. inside the presence of masses of air, the product is particularly carbon dioxide.
Explanation:
your welcome
sound intensity varies inversely as the square of the distance from the sound source. if you are in a movie theater and you change your seat to one that is eight times as far from the speakers, how does the new sound intensity compare with that of your original seat
Answer:
[tex]\dfrac{1}{64}[/tex] as loud.
Explanation:
The sound intensity varies inversely as the square of the distance from the sound source. Mathematically,
[tex]I=\dfrac{k}{d^2}[/tex]
You change your seat to one that is eight times as far from the speakers, d' = 8d.
New sound intensity is :
[tex]I'=\dfrac{k}{d'^2}\\\\I'=\dfrac{k}{(8d)^2}\\\\I'=\dfrac{1}{64}\times \dfrac{k}{d^2}\\\\I'=\dfrac{1}{64}\times I[/tex]
So, the new intensity is (1/64) times of the initial sound intensity.
Compared with falling on a stone floor, a wine glass may not break when it falls on a carpeted floor because the
Answer: The question is incomplete, options are not given and here are the options from another website.
A. Carpeted floor provide small impulse.
B. stopping time is shorter on the carpet.
C. stopping time is longer on the carpet.
D. carpet provides a smaller impulse and a longer time.
The correct option is C.
A wine glass may not break when it falls on carpet floor because the stopping time on carpet floor is longer to that of stone floor.
Explanation:
A wine glass may not break when it falls on carpet floor because the stopping time on carpet floor is longer to that of stone floor because the change in glass momentum is the same for both stone and carpet flow, therefore the impulses that is supplied by both carpet and stone floor is the same. Therefore,there is longer stopping time by the carpet floor because there is smaller force that act on it compared to stone floor which lead to less damage.
please help explain how to do this
Answer:
= 72640 [gramm]
Explanation:
Yes, in fact we are only going to use one conversion factor.
1 lb = 454 g
Therefore using the conversion factor we can find the value.
[tex]160lb*454\frac{gramm}{1lb}\\ = 72640 [gr][/tex]
Is stakeboarding a closed or open system? Pls help
Answer:
It is a closed system.
Explanation:
The nergy can be transferred, but matter cant be transferred. A skateboarder starts at the top of a long, steep incline. As they skate down the incline, they frequently angles the wheels to decelerate.
At its peak, a tornado is 73.0 m in diameter and carries 395-km/h winds. What is its angular velocity in revolutions per second
Answer:
The angular velocity of the tornado at its peak is 0.478 revolutions per second.
Explanation:
Let consider that tornado rotates at constant speed. From Rotation Physics we get the following relationship between linear ([tex]v[/tex]) and angular speeds ([tex]\omega[/tex]), measured in meter per second and radians per second, respectively.
[tex]\omega = \frac{v}{R}[/tex] (Eq. 1)
Where [tex]R[/tex] is the radius of the tornado, measured in meters.
If we know that [tex]v = 109.722\,\frac{m}{s}[/tex] and [tex]R = 36.5\,m[/tex], then the angular speed of the tornado at its peak is:
[tex]\omega = \frac{109.722\,\frac{m}{s} }{36.5\,m}[/tex]
[tex]\omega = 3.006\,\frac{rad}{s}[/tex] [tex]\left(0.478\,\frac{rev}{s} \right)[/tex]
The angular velocity of the tornado at its peak is 0.478 revolutions per second.
Newton's law of restitution
Answer:
Explanation:
Newton's law of restitution states that when two bodies collide, the speed with which they move after the collision actually depends on the material from which they are made. The Coefficient of Restitution (e) tells us about the bounciness, or elasticity, of the collision.
A student is analyzing the forces on a 400 kg car driving at a constant velocity of 20 m/s. They draw the following diagram:
dawg im doin dat same quiz for ms matthews.
Explanation:
.
If the car is moving at a constant velocity, no force is acting on it therefore, there should be no arrows.
According to Newton's first law of motion which is also called the law of inertia, a body will remain at rest or in a state of uniform motion unless it is acted upon by a net force.
A car that is moving at constant velocity is in a state of uniform motion and this will not change unless the car is acted upon by a net force. No net force is acting on the car as long as it remains in a state of uniform motion hence the diagram is wrong. There should be no forward arrow in the diagram. The forces acting on the car are exactly balanced.
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Air at 20 Celsius and 483 kPa (70 psig) gauge expands to atmospheric pressure (79 kPa). If the process is isentropic, what is the final temperature in Celsius? Present answer using three significant digits.
Answer:
Explanation:
Process is isentropic that means the process is adiabatic .
[tex]PV^\gamma = constant \\P^{(1 -\gamma)}\times T^\gamma = constant[/tex]
[tex]\frac{T_1}{T_2} = \frac{ P_1 ^ {(\gamma-1) }}{P_2^{(\gamma-1 )}}[/tex]
For air
[tex]\gamma = 1.4[/tex]
[tex]\frac{293}{T_2} = \frac{ 483^ {(1.4-1) }}{79^{(1.4-1 )}}[/tex]
[tex]\frac{293}{T_2} = 2.06[/tex]
[tex]T_2 = 142 K[/tex]
= - 131 ⁰C .
Which event is associated with convergent boundaries
A. Formation of island chains
B. Creation of mid-ocean ridges
C. Creation of convection currents
D. Formation of rift valleys
The even that is associated with convergent boundaries is formation of islands. The correct option is A.
What are convergent boundaries?A convergent boundary occurs whenever two plates come around each other.
The implications of colliding plates can cause one or both plates' edges to buckle up into mountain ranges, or one plate to bend down into a deep seafloor trench.
A chain of islands, also renowned as an archipelago, is a group of islands that are evenly distributed in lakes, oceans, and rivers inside a defined area. The Islands are connected by a convergent boundary.
The Mariana Islands and Japan are examples of island chains that share convergent boundaries.
Thus, here one can conclude that the event that is associated with convergent boundaries is the formation of Island chains means the option A is correct.
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A projectile is fired horizontally with a velocity of 48 m/s from the hill 294 m high. Find the time taken to reach the ground.
A. 7.75 s
B. 10.0 s
C. 60.5 s
D. 15.2 s
Which in NOT a type of muscle?
a
Smooth
b
Flat
c
Cardiac
d
Skeletal
Answer:
flat lol, that's the answer
Check all the answers that apply. Energy is the ability to
A. Change temperature
B. Change speed
C. Do work
D. Change direction
Answer:
D. Do work
Explanation:
Answer:
c: do work and b: change speed
Explanation:
How would you describe energy transfers
Answer:
Energy is transferred from one object to another when a reaction takes place.
Explanation:
A 25.0-g object moving to the right at 20.0 cm/s overtakes and collides elastically with a 10.0-g object moving in the same direction at 15.0 cm/s. Find the velocity of each object after the collision.
Answer:
v₁ = 17.1 cm/s
v₂ = 22.1 cm/s
Explanation:
From the principle of linear momentum, the momentum is conserved
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where m₁ = mass of first object = 25.0 g
u₁ = initial velocity of first object = 20 cm/s
m₂ = mass of second object = 10.0 g
u₂ = initial velocity of second object = 15.0 cm/s
v₁ = final velocity of first object
v₂ = final velocity of second object
25 * 20 + 10 * 15 = 25 * v₁ + 10 * v₂
650 = 25v₁ + 10v₂ ----(1)
Also in an elastic collision, Kinetic energy is conserved and sum of initial and final velocities is conserved
u₁ + v₁ = u₂ + v₂
20 + v₁ = 15 + v₂
v₂ = 5 + v₁
Substitute v₂ = 5 + v₁ in (1)
650 = 25v₁ + 10(5 + v₁)
90 = 25v₁ + 10v₁ + 50
35v₁ = 600
v₁ = 600/35
v₁ = 17.1 cm/s
Therefore, v₂ = 5 + 17.1 cm/s
v₂ = 22.1 cm/s
The motion with respect to the direction is called velocity. The change of velocity is known as acceleration.
According to the question. The value is as follows:-[tex]25 * 20 + 10 * 15 = 25 * v_{1} + 10 * v_{2}[/tex]
[tex]650 = 25v_{1} + 10v_{2} ----(1)[/tex]
Also in an elastic collision, Kinetic energy is conserved and the sum of initial and final velocities is conserved
[tex]u_{1} + v_{2} = u_{1} + v_{2}[/tex]
After putting the value:- [tex]20 + v_{1} = 15 + v_{2}[/tex]
Hence:- v₂ = 5 + v₁
After solving both the equation, the value of V will be
v₁ = [tex]\frac{600}{35}[/tex]
Hence the value of V is 17.1 cm/s
Therefore, v₂ = 5 + 17.1 cm/s
v₂ = 22.1 cm/s
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What is the difference between nuclear fission and nuclear fusion? ?
A
Nuclear fusion explodes the nucleus of an atom, while nuclear fission harnesses
the atom's kinetic energy.
B
Nuclear fission splits an atom apart, while nuclear fusion fuses two atoms
together.
с
Nuclear fission creates electrical energy, while nuclear fusion creates chemical
energy.
D
Nuclear fusion splits hydrogen atoms apart, while nuclear fission fuses uranium
atoms together.
Answer: ITS B
Explanation:
BECAUSE I GOT IT WRONG AND IT WAS ACTUALLYT B F IN THE CHAT FOR ME
IF U GIVE ME HEART FOR HELPING THAT WOULD BE GREAT, THANKS......
Answer: The answer is B. Nuclear fission splits an atom apart, while nuclear fusion fuses two atoms together.
Explanation:
Calculating Acceleration
A football player kicks a 0.94 kg football with a force of 2.4 N.
Calculate the acceleration of the football as the player kicks the ball. Round your answer to the nearest tenth of a m/s2.
Explanation:
[tex]a = \frac{force}{mass } = \frac{2.4}{0.94} = 2.5 \frac{m}{ {s}^{2} } [/tex]
Was it helpful?
Answer: 2.6 m/s²
Explanation: acceleration = f/m
Force = 2.4 N
Mass = 0.94 kg
Acceleration = ?
Acceleration = 2.4 N/0.94 kg = 2.5531914894 (or 2.6).
How to round it: round to the nearest tenth of a m/s²; look at the tenth place, which is 2.(5), it's greater than 5, so you wanna change it into a 6.
Hope this helped.
Have a good day. :)
Write the following numbers in standard notation:
a. 9 x 103
b. 7.7 x 10-5
c. 4.99 x 10-9
d. 2.25 x 1010
Answer:
23
Explanation:
When did Kentucky host its first national cluster meeting?
Answer:
1988
Explanation:
in Louisville
Energy conversion in an electric circuit consisting of a battery and a load
is.............
A. Heat Energy→ Electrical Energy → Potential Energy
B. Potential Energ → Electrical Energy → Heat Energy
C. Electrical Energy → Potential Energy→ Chemical Energy
D. Potential Energy → Heat Energy→ Electrical Energy
please please please i need heeelp
Answer:
[tex]option \: c. \: is \: correct[/tex]
Explanation:
[tex]C. \\ Electrical \: Energy → Potential \: Energy→ Chemical \: Energy[/tex]
♨Rage♨
Answer:
B that is Potential Energy → Electrical Energy → Heat Energy because, the energy is always stored in the form of potential energy because it is not in static form, so in this case it is going to be in a form of CHEMICAL POTENTIAL ENERGY now when it is connected with the load, the energy stored in the battery will move in the form of electrical energy, now you should remember Electrical energy is a type of kinetic energy caused by moving electric charges, so if it says kinetic energy, you should it is talking about electrical energy. So finally the static electrical energy is converted in the form of heat energy. We could take the EXAMPLE of heater.
In the heater chemical potential energy is converted into Heat Energy.
Suppose that the lab wiring is mistakenly designed so that all the stations are on the same 120Volt circuit. A circuit breaker allows a maximum of 40Amps to be drawn by the lab stations. If each lab station used 550watts or power how many lab stations can be running at once before the circuit breaker cuts off the power
Answer:
9 stations .
Explanation:
All the stations are connected in parallel .
volt at each station = 120 V .
power used at each stations = 550
power = volt x current
550 = 120 x current
current = 4.5833 A
maximum current allowed by circuit breaker = 40 A
no of lab stations possible = 40 / 4.5833
= 8.72 or 9 .
A person throws a shot put from height of 5 feet with an initial vertical velocity of 40 feet per second. Use the vertical motion model, h = -16t^2 + vt + s, where v is the initial velocity in feet per second and s is the initial height in feet, to calculate the amount of time the shot put is in the air before it hits the ground
Answer:
2.6
Explanation:
13. How much water will flow in one minute through 200mm of a tube 1.5mm in diameter if the pressure across the tube is 10 cmHg
Answer:
The volumetric flow rate is 0.00589 cm³ /s
Explanation:
Given;
length of the tube, L = 200 mm = 20 cm
diameter of the tube, 1.5 mm
radius of the tube, r = 0.75 mm = 0.075 cm
Area of the tube is given by;
A = πr²
A = π(0.075)² = 0.0177 cm²
Velocity of water through the tube is given is by;
v = L / t
v = 20 cm / 60 s
v = 0.333 cm / s
Volumetric flow rate of water is given by;
Q = Av
Q = (0.0177 cm²)(0.333 cm / s)
Q = 0.00589 cm³ /s
Therefore, the volumetric flow rate is 0.00589 cm³ /s
When an object moves with 2 dimensional motion, what happens to the vertical velocity?