Split up the acceleration into horizontal and vertical components:
a = (1.4 m/s²) (cos(35º) i + sin(35º) j)
a ≈ (1.15 m/s²) i + (0.803 m/s²) j
Do the same with the pulling force (denoted by p):
p = (250 N) (cos(35º) i + sin(35º) j)
p ≈ (205 N) i + (143 N) j
By Newton's second law, the net horizontal force is proportional to the horizontal acceleration according to
∑ F = m a
The only horizontal force acting on the cart is the horizontal component of the pulling force. So we have
205 N = m (1.15 m/s²)
m ≈ 178.571 kg ≈ 180 kg
A roller coaster has a vertical loop with radius 29.5 m.What is the minimum speed of the roller coaster car can have at the top of the loop if the passengers do not lose contact with the seats?
A) 10.0 m/s
B) 14.0 m/s
C) 17.0 m/s
D) 19.0 m/s
Answer:the Minimum speed , v of the roller coster = 17.0 m/s --c
Explanation:
According to Newton's First law of Motion which state that all object will remain at rest unless an external force is applied on the body to act otherwise.
Therefore the Force exerted/ acting on the surface of the roller coaster will be equal to 0,
Net Force = 0
Remember that , Force = mg = Mv ²/r = 0
Net Force =mv ² / r - mg = 0
mv²/ r - mg = 0
(diving through by m)
v²/r -g = 0
v² = gr
v= [tex]\sqrt{gr}[/tex]
where g, acceleration due to gravity= 9.8m/s2 and radius, r = 29.5m
v= [tex]\sqrt{9.8m/s2 X 29.5m }[/tex]
v =[tex]\sqrt{ 289}[/tex]
v= 17.0 m/s
Therefore, the Minimum speed , v of the roller coaster = 17.0 m/s
True or false? An electric current is a continuous flow of electric charges through a material.
A sound wave travels in a straight line at a constant speed of 660 mph. What is
the acceleration of the sound wave? Explain your answer.
Answer:
a = 0
Explanation:
The velocity of a sound wave in a straight line is 660 mph. The wave is moving with a constant velocity. It means that the change in velocity is equal to 0.
We know that acceleration of an object is equal to the change in velocity divided by time taken. But here the change in velocity is 0. As a result the acceleration of the sound wave is 0.
A stone is dropped vertically downwards. What is the velocity of the rock after 4 seconds ? What is the displacement of the rock after 4 seconds ?
Answer:
Vf = 39.2 m/s
h = 78.4 m
Explanation:
Using first equation of motion for vertical motion:
Vf = Vi + gt
where,
Vf = Final Velocity = ?
Vi = Initial Velocity = 0 m/s
g = 9.8 m/s²
t = time taken = 4 s
Therefore,
Vf = 0 m/s + (9.8 m/s²)(4 s)
Vf = 39.2 m/s
Now, we use second equation of motion
h = Vi t + (1/2)gt²
where,
h = height covered = ?
Therefore,
h = (0 m/s)(4 s) + (1/2)(9.8 m/s²)(4 s)²
h = 78.4 m
A 0.900-V potential difference is maintained across a 1.5m length of 2
tungsten wire that has a cross-sectional area of 0.600 mm . What is the current in the wire?
Answer:
I = 6.42 A
Explanation:
Given that,
Potential difference, V = 0.9 V
Length of the wire, l = 1.5 m
Area of cross section, [tex]A=0.6\ mm^2=6\times 10^{-7}\ m^2[/tex]
We need to find the current in the wire. Let I is current. We can find it using Ohm's law as follows :
V = IR
Where R is the resistance of the wire
[tex]I=\dfrac{V}{R}\\\\I=\dfrac{V}{\rho \dfrac{l}{A}}\\\\I=\dfrac{0.9}{5.6\times 10^{-8}\times \dfrac{1.5}{6\times 10^{-7}}}\\\\I=6.42\ A[/tex]
So, the current in the wire is 6.42 A.
What is an atom's nucleus made of?
(2 points)
protons and electrons
protons only
protons and neutrons
neutrons only
Answer:
nucleus made of protons and neutrons because the chemical atom is determined my a number
A computational model predicts the maximum potential energy a roller coaster car can have given its mass and its speed at the lowest point of its journey. Its mass is 350 kg, and it speed at a height of 0 m is 25 m/s. What is the prediction for its maximum potential energy?
109,375 J
765,625 J
218,750 J
87,750 J
Answer:
The prediction for its maximum potential energy is 109,375 J
Explanation:
Given;
mass of the coaster car, m = 350 kg
speed of the coaster car at the lowest point, v = 25 m/s
The coaster car will have maximum kinetic energy at the lowest point and based on law of conservation of mechanical energy, the maximum kinetic energy of the coaster car at the lowest point will be equal to maximum potential energy at the highest point.
[tex]K.E_{max} = P.E_{max}[/tex]
[tex]K.E_{max} = \frac{1}{2} mv^2\\\\K.E_{max} = \frac{1}{2} (350)(25)^2\\\\K.E_{max} =109,375 \ J[/tex]
[tex]Thus, P.E_{max} = 109,375 \ J[/tex]
Therefore, the prediction for its maximum potential energy is 109,375 J
The mass of an empty flask is 49.74 g. Filled with 120 cm 3 of acetone, the mass of the flask is found to be 144.78 g. What is the density of acetone?
Answer:
0.79g/cm³
Explanation:
Given parameters:
Volume of acetone = 120cm³
Mass of empty flask = 49.74g
Mass of flask + acetone = 144.78g
Unknown:
Density of acetone = ?
Solution:
Density is the mass per given volume of a substance. It is mathematically expressed as;
Density = [tex]\frac{mass}{volume}[/tex]
Mass of acetone =( mass of flask + acetone) - mass of empty flask
Mass of acetone = 144.78 - 49.74 = 95.04g
Now insert the parameters and solve;
Density = [tex]\frac{95.04}{120}[/tex] = 0.79g/cm³
On Earth, you can lift a 10 kg object. What is the mass of that object on the moon? Is mass independent from gravity?
Explanation:
An object's weight depends on the pull of the gravitating object but the object's mass is independent of the gravity.
A ball rolls to the right across a grassy field slowing down as it does so. Which of the following must be true?
Answer: i could prolly answer if it made more sense. which of the following where?
Answer:
D: the ball is not accelerating because it is slowing down
Explanation:
if the was no friction, then the ball would most likely pick up speed and never stop, like it would with it being on a hill covered in ice, it would pick up speed and never slow down (well, it would slow down, just at a point where it looks like it would never stop.
A sled with a mass of 25.0 kg rests on a horizontal sheet of essentially frictionless ice. It is attached by a 5.00-m rope to a post set in the ice. once given a push, the sled revolves uniformly in a circle around the post. If the sled makes five complete revolutions every minute, find the F exerted on it by the rope.
Answer:
The value is [tex]F = 34.3 \ N[/tex]
Explanation:
From the question we are told that
The mass of the shed is [tex]m = 25 \ kg[/tex]
The length of the rope is [tex]l = 5.0 \ m[/tex]
The angular speed of the shed is [tex]w = 5 rev/minute = \frac{2* \pi * 5}{60 }= 0.524 \ rad/sec[/tex]
Generally the force exerted on the shed is mathematically represented as
[tex]F = m * w^2 * l[/tex]
=> [tex]F = 25 * 0.524^2 * 5[/tex]
=> [tex]F = 34.3 \ N[/tex]
The magnitude of the centripetal force on the sled by the rope is 34.3 N.
The given parameters:
mass of the sled, m = 25 kglength of the rope, r = 5 mnumber of revolution per minute, N = 5The angular speed of the sled is calculated as follows;
[tex]\omega = 5 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 0.524 \ rad/s[/tex]
The magnitude of the centripetal force on the sled by the rope is calculated as follows;
[tex]F = ma_c\\\\F = m\omega ^2 r\\\\F = 25 \times (0.524)^2 \times 5\\\\F = 34.3 \ N[/tex]
Learn more here:https://brainly.com/question/20905151
The Doppler effect is the change in sound _____ caused by the motion of the sound source, motion of the listener, or both.
pitch
frequency
amplitude
speed
Cindy has been working for 8 years and she’s built up a huge emergency fund
Answer:The answer will be B :) hope this helps!
Explanation:
what
material gives the soil its high fertility?
Answer:
Humus
Explanation:
Its Humus I believe. I remember learning something like this.
1. In a particular experiment to study the photoelectric effect, the frequency of the incident light and the temperature of the metal are held constant. Assuming that the light incident on the metal surface causes electrons to be ejected from the metal, what happens if the intensity of the incident light is increased?A. The work function of the metal decreases. B. The number of electrons emitted from the metal per second increases. C. The maximum speed of the emitted electrons increases. D. The stopping potential increases.2. In another experiment, the intensity of the incident light and the temperature of the metal are held constant. Assuming that the initial light incident on the metal surface causes electrons to be ejected from the metal, what happens if the frequency of the incident light is increased? A. The work function of the metal increases. B. The number of electrons emitted from the metal per second increases. C. The maximum speed of the emitted electrons increases. D. The stopping potential increases.
Answer: 1. B. The number of electrons emitted from the metal per second increases.
2. The maximum speed of the emitted electrons increases.
The stopping potential increases
Explanation:
Photoelectric effect is simply referred to as the emission of electrons that occurs when there's an electromagnetic radiation. An example of such electromagnetic radiation is when material is being hit by light.
Assuming that the light incident on the metal surface causes electrons to be ejected from the metal, the number of electrons emitted from the metal per second increases if the intensity of the incident light is increased.
Also, if the initial light incident on the metal surface causes electrons to be ejected from the metal, the maximum speed of the emitted electrons increases and the stopping potential increases.
Check how you understand the principles of working of lenses. In some optical setup consisting of a single lens and an object magnification factor is measured as m-+4. We can conclude that:__________ a. Lens is converging, image is at the opposite side of lens from the object b. Lens is converging, image is the same side of lens as object c. Lens is diverging, image is at the opposite side of lens from the object d. Lens is diverging, image is the same side of lens as object
Answer:
b. Lens is converging, image is the same side of lens as object
Explanation:
A single converging lens is often used as a magnifying glass. The reason, behind its use as a magnifying glass is the configuration of the converging lens, when an object is placed inside its focal length. It forms the image of that object as magnified and at the same side as the object. So, the image is both magnified and erect. In this way, the converging lens serves as a magnifying glass with certain magnification factor, single handedly. The ray diagram of a magnifying glass is attached for reference. So, the correct option is:
b. Lens is converging, image is the same side of lens as object
Whoever answers correctly gets brainlist!
Infared = used by police
gamma = short wavelength
radio = largest wavelength
visible = only ones we can see
Answer: police use infred waves,
radio waves have largest wave length, the
only part of the spectrum seen by humans is visible waves
gamma waves have shortest wave length
Explanation:
an object with a mass of 7.5 kg accelerates 8.3 m/s2 when an unknown force is applied to it. what is the amount of the force?
Answer:
I believe the answer is 62.25 N
Explanation:
You just multiply 7.5 and 8.3 and you get 62.25
Answer:
62.25N or 62.25 newtons
Explanation:
F=ma where F is the force in newtons, m is the mass in kilograms (kg), and a is the acceleration
m=7.5kg
a=8.3m/s^2
Therefore, F=ma=7.5*8.3=62.25N
The amount of force is 62.25N or 62.25 newtons
8.
'A 6.00 kg ball, A, moving at velocity 3.00 m/s due east collides with a 6.00 kg ball, B, at rest.
After the collision, A moves off at 40.0°N of E and ball B moves off at 50.0° S of E
please help me.
Answer:
brrrrrakabrrrrrrrrra
Explanation:
Can power be negative in physics? I am doing a lab in which I run down the stairs as quickly as possible. They are 5.4m tall and my work is 5321.7 J. After calculating work, I got -5321.7 J. I am supposed to calculate my power used over 3 trials. The time for trial 1 was 4.69 and the seconds for trials 2 and 3 are 4.25. After calculating my power I got -1134.69 W and -1252.16 W. I am not sure if I got my power right. Is my power really negative or is my power positive?
Answer:
Yes.
Explanation:
A negative power would just represent a loss of power. So in your case it lost -1252.16 W
A sphere has a mass of 8.5 kg and a radius of 10cm. How much work is it necessary to do on the ball to get it to a speed of 6.0m/s?
Answer:
153JExplanation:
Step one:
given data
mass m= 8.5kg
radius r= 10cm in meters = 0.01m
velocity v= 6m/s
The work done will be the same as the energy possessed by the sphere at such speed
Required
the work one in Joules
we know that
KE=1/2mv^2
KE=1/2*8.5*6^2
KE= 1/2*8.5*36
KE=306/2
KE=153J
A torque of 0.97 N m is applied to a bicycle wheel of radius 35 cm and mass 0.75 kg. Assuming the wheel can be modelled as a hoop, find the angular acceleration of the wheel.
Answer:
11 rad/s^2 approx.Explanation:
Given
torque,τ= 0.97N
radius r= 35cm to m= 0.35m
mass m= 0.75kg
Required
angular acceleration
First, we need the moment of inertial of the wheel
I=mr^2
I=0.75*0.35^2
I=0.75*0.1225
I=0.09kgm^2
Secondly, the angular moment of inertial is expressed as
a=τ/I
a=0.97/0.09
a=10.77rads/s^2
a=11 rad/s^2 approx.
What would the distance be if a bicyclist traveled 4.5 hours at a speed of 20.0km/h?
A projectile is fired horizontally off the top of a cliff with an initial velocity of 30 m/s. It hits the ground 2.0 seconds later. What is the height of the cliff?
Answer:no
Explanation:
A train slows from 44 m/s to 19 m/s in 9 seconds. What is the train's acceleration? Show your work.
Answer:
a = 2.77 [m/s²]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} =v_{o} -a*t[/tex]
where:
Vf = final velocity = 19 [m/s]
Vo = initial velocity = 44 [m/s]
a = acceleration [m/s²]
t = time = 9 [s]
Note: The negative sign in the above equation means that the train is decreasing its velocity.
19 = 44 - a*9
9*a = 44 -19
a = 2.77 [m/s²]
An airplane takes off northwest from Dallas to Amarillo. This is an example of-
a. Speed
b. Velocity
c. Acceleration
Answer:
the answers is C. acceleration
Cylindrical rod has equal and opposite forces applied perpendicular to its circular ends. The forces are directed away from the rod, stretching the rod. What type of stress is this rod subject to:_________A) The rod is subject to shear stress. B) The rod is subject to tensile stress. C) The rod is subject to compressive stress. D) The rod is subject to bulk stress.
Answer:
B) The rod is subject to tensile stress
Explanation:
Tensile stress is the force induced in the body per unit area in response to externally applied force, which stretches the body.
Tensile stress is attached with tensile forces. It is makes material elongate along the axis of the applied load.
It is given as magnitude (F) of the force that is applied along an elastic rod divided by the cross sectional area (A) of the rod in a direction that is perpendicular to the applied force.
materials such as Doctile have the ability to withstand the load while brittle materials who not have the ability they fail before reaching the ultimate material strength.
A barrel of oil contains roughly 6.1x109 J. How many kW-hr is this? Answer in
units of kW-hr
Answer:
[tex]1.694*10^3KW/hr[/tex]
Explanation:
Formula:
[tex]KW/hr=E_{(change)}[/tex]
[tex]P=\frac{E}{t}[/tex]
[tex](KW)(s)=1000J[/tex]
[tex](3600)(KW)(s)=3600*1000J[/tex]
[tex]KW=3.6*10^6[/tex]
[tex]\frac{6.1*10^9}{3.6*10^6}=\frac{x}{1KW}[/tex]
[tex]1.694*10^3KW/hr[/tex]
Hope it helps
Which phrase best completes the diagram?
Drawbacks of Trade Barriers
Less consumer choice
Retaliatory trade barriers
A. Domestic jobs put at risk
B. More competition for domestic industries
O
C. Increased reliance on other countries
D. Reduced economic efficiency
Answer:D
Explanation:
just got it right
Answer:D
Explanation:
taking the test
30.6*X+-2.56
Pls help
Answer: 10.16
Explanation:
