Answer:
v = 19.33 m / s South
Explanation:
To solve this exercise we must use the conservation of momentum, for which we must define a system formed by the two cars, therefore the forces during the collision are internal and therefore the moment is conserved.
Since it is a vector quantity, we are going to work on each axis, the x axis is in the East-West direction
initial instant. Before the crash
p₀ = m 0 + M v₂ₓ
final instant. Right after the crash
p_f = (m + M) vₓ
p₀ = 0_pf
M v₂ₓ = (m + M) vₓ
In this case m is the mass of the car and M the mass of the SUV
vₓ = [tex]\frac{M}{m+My}[/tex] v₂ₓ (1)
in the Y axis (North - South direction)
initial instant
p₀ = m v_{1y} + M 0
final moment
p_f = (m + M) v_y
p₀ = p_f
m v_{1y} + M 0 = (m + M) v_y
v_y = [tex]\frac{m}{m+M} \ v_{1y}[/tex] (2)
With these speeds we can use the relationship between work and the variation of kinetic energy, in this part the two cars are already united.
W = ΔK
friction force work is
W = - fr d
the friction force is described by the equation
fr = μ N
Newton's second law
N-W = 0
N = W
we substitute
W = - μ (m + M) g d
as the car stops the final kinetic energy is zero and
the initial kinetic energy is
K₀ = ½ (m + M) v²
we substitute
- μ (m + M) g d = 0 - ½ (m + M) v²
μ g d = ½ v²
v² = 2 μ g d
the distance traveled can be found with the Pythagorean theorem
d = [tex]\sqrt{x^2+y^2}[/tex]
d = [tex]\sqrt{5.48^2 + 6.37^2}[/tex]
d = 8.40 m
let's calculate the speed
v² = 2 0.75 9.8 8.40
v = √123.48
v = 11.11 m / s
this velocity is in the direction of motion so we can use trigonometry to find the angles
tan θ = y / x
θ = tan⁻¹ y / x
θ = tan⁻¹ (-5.48 / -6.37)
θ = 40.7º
Since the two magnitudes are negative, this angle is in the third quadrant, measured from the positive side of the x-axis in a counterclockwise direction.
θ'= 180 + 40.7
θ’= 220.7º
In the exercise they indicate the the sedan moves in the y-axis, therefore
sin θ'= v_y / v
v_y = v sin 220.7
v_y = 11.11 sin 220.7
v_y = -7.25 m / s
the negative sign indicates that it is moving south
To find the speed we substitute in equation 2
v_y = [tex]\frac{m}{m+M} \ v_{1y}[/tex]
v_{1y} = v_ y [tex]\frac{m+M}{m}[/tex]
let's calculate
v_{1y} = -7.25 [tex]\frac{1500+2500}{1500}[/tex]
v_{1y} = - 19.33 m/s
therefore the speed of the sedan is v = 19.33 m / s with a direction towards the South
if you dropped your cell phone from a height of 1.20 m above the ground, with what speed would it strike the ground
ωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωωZ?
Answer: 11.8 m/s
Explanation: Multiply the height, 1.20 m by 9.8. This is because on earth free falling objects have a speed of 9.8 m/s^2 downward.
who is Dr. Wu Lien-teh
Answer:
my mom
Explanation:
she gave birth to me!
Answer: Wu Lien-teh, was a Malayan physician renowned for his work in public health, particularly the Manchurian plague of 1910–11.
Explanation:
X_X
I need help with these questions please help
25 points
Answer:
A) 0.12 m
B) 11.5 degrees
A) Two convex lenses
D) Amplitude
A) 491.8 m
B) 2.92 m
C) 9.677 MHz
I couldn't see the options for number eight, so I'm unsure if this is correct, but I got 507.7 K in my calculations.
Can you please answer these ASAP!
I will give brainliest to the person who answers it first and it must be an actual answer,
PLZ!!
Answer:
Let's explain this briefly.
Suppose that we have a piece of ice (this is, solid water) now we give energy to the piece of ice, so the temperature of the ice increases. There is a point where the piece of ice will start a change of phase, at this point the temperature of the ice stops increasing because all the energy we give to the ice is used in the change of phase.
Once we have a complete change of phase, the temperature can increase again, and now we will have liquid water.
If we keep increasing the temperature we will see this happen again, when we have the transition from liquid to gas.
(and a similar thing happen when we have a material in a given phase and we remove heat from the material).
In the images we can see the different changes of phase of water.
1) In the first image we can see the circle in a part where the temperature is constant, so the temperature does not change in this part, which means that there is a change of phase happening.
2) Here we have the circle in a diagonal line, so here the temperature is changing, meaning that we have an increase of temperature in this region.
3) Here we want to know what the x-axis represents, this should rerpesent the energy that is being given to the material (so in some parts we see that the temperature increases and in other parts we see that the material changes of phase)
Then here the correct option is heat over time.
4) The freezing point is the temperature in which the change of phase from liquid to solid happens (or solid to liquid).
In the graph we can see that this change of phase happens at the temperature T = -210°C
Then the correct option is -210°C (The last option)
magnetism is an example of:
A. contact force
B. non-contact force
C.friction
Answer:
The answer is Non contract force
pick the correct answer there are three correct answers
15. If a dog pulls a 5 kg sled with a force of 70 N, what is its acceleration?
Answer:
14 m/s^2
Explanation:
We have to use the equation F=ma because the question is a Newton's second law question.
First, list known values
F (force) = 70 N
m (mass) = 5 kg
a (acceleration) = ? (we have to solve for this)
Second, plug in known values into equation.
F=ma
70=5a
Third, solve. To solve this all you have to do is divide both sides by 5
70/5=5/5a
Fourth, your answer will be 14 meters per second squared (m/s^2)
I hope this answer helps and have a great day!
Newton discovered that sunlight was composed of colors.
True or False
Answer:
True
Newton's Rainbow. In the 1660s, English physicist and mathematician Isaac Newton began a series of experiments with sunlight and prisms. He demonstrated that clear white light was composed of seven visible colors.
Explanation:
Hope it helps
Andres buys a new scooter. He goes 8 Km north from the beach. He then
travels 5 Km to the east. Then chases a friend 8 Km north. What distance
did he cover?
What was Andres's displacement?
Answer:
Distance: 21km
Displacement: ~16.76km
Can someone please explain why the answer to this net torque question is +115 Nm
Answer:
Net torque in positive direction:
Fz = -450 * cos 30 deg * 1.5 = -585 N-M
Fz = 200 * 3.5 = 700 N-M
Net F = 115 N-M
Torque is generally defined as L = R X F
X cross Y = Z normal coordinate system
Note that Z will be out of the page giving the positive value for the torque.
force is measured by: a) ammeter b) spring balance c) two pan balance d) ruler
Answer:
force can also be considered as weight so
Spring balance is used for measuring Force.
Explanation:
The mass of the hanging mass is m and the mass of the cart is M . You can assume that the floor over which the mass hangs has been chosen as the zero point of gravitational potential energy. If the hanging mass is at a height h above the floor, and has not yet been released, what type(s) of energy is/are present in the system
Answer:
Gravitational Potential Energy
Explanation:
Gravitational potential energy is energy an object possesses because of its position in a gravitational field (Hyper Physics). The potential energy is the energy that is stored in an object due to its position relative to some zero position(Physics Classroom).
For a body held at a height (h), the gravitational potential energy is capable to do work once the object is released from the height (h)
HELP URGENT WILL GIVE BRAINLIEST
What is the acceleration of a rocket ship that takes 5.0 seconds to increase its speed from 1240 m/s to 1300 m/s?
Answer:
12 m/s²
Explanation:
Acceleration = change in velocity / time
a = (1300-1240) / 5
a = 60 / 6
a = 12
Answer:
[tex]\boxed{\text{\sf \Large 12 m/s^2 $}}[/tex]
Explanation:
Use acceleration formula
[tex]\displaystyle \text{$ \sf Acceleration=\frac{Change \ in\ velocity}{Time \ taken} $}[/tex]
[tex]\displaystyle a=\frac{1300-1240}{5.0} =12[/tex]
A ball rolls down an inclined plane with a constant acceleration of 2.5 m/s/s. How fast is the ball traveling after 3 seconds
Which statement about acceleration is FALSE?
Group of answer choices
A. A car which is slowing down is accelerating
B. When acceleration and velocity are in opposite directions, acceleration is positive
C. If an object changes its direction of motion, its acceleration changes
D. A car which is speeding up is accelerating
Standing on a skateboard and shoot a paintball gun at your friend
Answer:
ok
Explanation:
Answer:
shooting
Explanation:
i hope you're joking
8. Two perpendicular forces, one of 45.0 N directed upward and the other of 60.0 N directed to the
right, act simultaneously on an object with a mass of 35.0 kg. What is the magnitude of the
resultant acceleration of the object?
a) 2.14 m/s
b) 5.25 m/s
c) 3.00 m/s
d) 1.41 m/s
Answer:
[tex]a=2.14\ m/s^2[/tex]
Explanation:
Force in upward direction = 45 N
Force in right side = 60 N
Mass of the object, m = 35 kg
Net force on the object is given by :
[tex]F=\sqrt{45^2+60^2} \\F=75\ N[/tex]
We know that,
F = ma
Where
a is acceleration of the object
[tex]a=\dfrac{F}{m}\\\\a=\dfrac{75\ N}{35\ kg}\\\\a=2.14\ m/s^2[/tex]
So, the acceleration of the object is [tex]2.14\ m/s^2[/tex].
A ball is thrown vertically upwards with a velocity
of 30 m/s. Find the greatest height attained
A. 40 m B.50 m C.55 m D.45 m
Answer:
Explanation:
The acceleration of gravity is 9.8m/s^2.
So to calculate the time it will take to make the ball stop(which btw means the ball now reach its greatest height), use the formula V1=V0+at. V1 is the final velocity(which is 0), V0 is the starting velocity(which is 30m/s), and the a(cceleration) is 9.8m/s^2.
(You can ignore the fact "at" is -30 instead 30, it's because the directions two velocity travel are opposite. )
We can now know the time it takes to make the ball stop just by the gravitational force is about 3 sec.
Use another formula S=1/2at^2, to find out the S(height) is 1/2*9.8*3^2=44.1, which is approximately D.45m .
Is the intensity of light directly or inversely proportional to the concentration according to Beer-lambert's law?
Answer:
directly proportional
Explanation:
The Beer-Lambert law states that the quantity of light absorbed by a substance dissolved in a fully transmitting solvent is directly proportional to the concentration of the substance and the path length of the light through the solution.
is the force on a dropped ball.
Ogravity
O acceleration
Answer:
The force applied to any falling object would be gravity. An object cannot fall if there is not gravity; it would simply float.
pick the correct answer
You are designing a ski jump ramp for the next Winter Olympics. You need to calculate the vertical height h from the starting gate to the bottom of the ramp. The skiers push off hard with their ski poles at the start, just above the starting gate, so they typically have a speed of 2.0 m/s as they reach the gate. For safety, the skiers should have a speed of no more than 30.0 m/s when they reach the bottom of the ramp. You determine that for a 77.0 kg skier with good form, friction and air resistance will do total work of magnitude 4000 J on him during his run down the slope.
Required:
What is the maximum height h for which the maximum safe speed will not be exceeded?
Answer:
h = 40.37 m
Explanation:
We will apply the law of conservation of energy to the skier in this case, as follows:
[tex]Energy\ of\ skier\ at\ the\ gate = Energy\ of\ Skier\ at\ the\ end\\P.E + K.E_{i} = K.E_{f} - W_{friction}\\mgh + \frac{1}{2}mv_{i}^2 = \frac{1}{2}mv_{f}^2 - W_{friction}\\\\mgh = \frac{1}{2}m(v_{f}^2-v_{i}^2) - W_{friction}[/tex]
where,
m = mass of skier = 77 kg
g = acceleration due to gravity = 9.81 m/s²
vf = final speed = 30 m/s
vi = initial speed = 2 m/s
W_friction = Work done by friction and air resistance = 4000 J
Therefore,
[tex](77\ kg)(9.81\ m/s^2)h = \frac{1}{2}(77\ kg)[(30\ m/s)^2-(2\ m/s)^2] - 4000\ J\\\\h = \frac{34496\ J - 4000\ J}{755.37\ N}\\\\[/tex]
h = 40.37 m
If the radius of the Earth decreases to one fourth (1/4) its original size, what would your NEW weight become
1. 4 times as much
2.1/4 as much
3.16 times as much
4.1/16 as much
Answer:
1/4 as much
Explanation:
I don't know the explanation
In order to know how a force will affect an object, you must know the _______________.
inertia
weight
direction
gravity
Answer:
needs to know direction
11. Find the direction of the Force
Answer:
We answer that before but I forgot
All of the following are shaped by learned behavior except __________. A. shyness B. blinking C. biting one’s nails D. angry responses
Answer:
B) Blinking .
Explanation:
identify and explain the climate cycle shown
below. Illustrate how conditions change during
the summer
Answer:
wnd change
Explanation: wnd chsnge
As a ball is released inside Earth's gravitational field and begins to fall to the ground
HELP ASAP PLS
A) there is no gravitational potential energy between them
B) the amount of gravitational potential energy stays the same.
C) the amount of gravitational potential energy increases.
D) the amount of gravitational potential energy decreases.
Answer:
D
Explanation:
forecasted for the miscommunication between range and the other day
An open pipe is 1.42 m long.
What is the third harmonic
frequency that it produces?
(Speed of sound = 343 m/s)
(Unit = Hz)
please help me guys
Answer:
f(3) = 362.32 Hz
Explanation:
the formula of frequency of open pipe is
f(n) = (n+1)v/2L
n = 0,1,2,3,... (the order)
0 for the first
1 for the second
v = speed of sound
L = the lenght of pipe
f(3) = (2+1) * 343 / 2 * 1,42
f(3) = 3 * 343 / 2.84
f(3) = 362.324 Hz (or you can write 362.32 Hz
Answer: 362.32
Explanation: