Answer:
v = 35.11 m / s, θ = 20º north of east
Explanation:
This is a compound problem of relative velocities, we can use the Pythagorean theorem to find the modulus of the resulting velocity
v² = v₁² + v₂²
where the eastward velocity is v₁=33 m/s and the northward velocity
v₂=12 m / s
v = [tex]\sqrt{33^2 +12^2}[/tex]
v = 35.11 m / s
the direction of this velocity can be found with the uses of trigonometry
tan θ = v₂ / v₁
θ = tan⁻¹ v₂ / v₁
θ = tan⁻¹ 12/33
θ = 20º
this angles is north of east
Which change occurs when an atom undergoes alpha decay?
The nucleus loses mass and a new element is produced.
The nucleus gains a proton and a new element is produced.
The nucleus loses energy and remains the same element.
The nucleus loses a neutron and remains the same element.
The change that should arise at the time when an atom undergoes alpha decay is that nucleus loses mass and a new element is produced.
What is alpha decay?It is the type of radioactive decay where the atomic nucleus should be emitted an alpha particle and due to which it transforms and it should be distinct atomic nucleus.
Therefore we can say that The change that should arise at the time when an atom undergoes alpha decay is that nucleus loses mass and a new element is produced.
Learn more about an atom here: https://brainly.com/question/13373048
A 35 N force makes a 10 degree angle with the positive x-axis. What is the magnitude of the vertical component of the force?
Answer:
6.07 N
Explanation:
Given that,
Force, F = 35 N
It makes 10 degree angle with the positive x-axis.
We need to find the magnitude of the vertical component of the force. It can be given by :
[tex]F_y=F\sin\theta\\\\=35\times \sin(10)\\\\=6.07\ N[/tex]
So, the magnitude of the vertical component of the force is 6.07 N.
Answer:
Vertical component of force is equal to [tex]6.067[/tex] N
Explanation:
The magnitude of the vertical component on any force when α is the angle between the direction of force and the X -axis is
[tex]F_y = F * Sin\alpha[/tex]
Substituting the given values in above equation, we get -
[tex]F_y = 35 * Sin 10\\F_Y = 35 * 0.1736\\F_Y = 6.067[/tex]
Vertical component of force is equal to [tex]6.067[/tex] N
please help!!
A single constant force is exerted on an object. The graph describes the objects energy. How much work was done to increase the speed of the object from 1.0 m/s to 3.0 m/s?
A: 1.5 J
B: 2.0 J
C: 4.0 J
D: 4.5 J
Answer:
C. 4.0 J
Explanation:
Work is equal to the change in kinetic energy or kinetic energy final - kinetic energy initial. 1/2 mv^2 is the equation for kinetic energy. SInce the mass is the same, you don't have to include it when solving. 1/2 times 1^2 = 1/2. 1/2 times 3^2 = 4.5. 4.5 - 0.5 = 4 J
Which of the following refers to an attractive force between two objects due
to their mass?
A. Gravity
B. Friction
C. Free fall
D. Magnetism
As shown in the figure above, a 50 kg box is dragged across the floor with a pulling force (Fp) of 200 N which acts at an angle of 30 degrees above the horizontal. The coefficient of kinetic friction is 0.25. What is the acceleration of the box? (Use g = 9.8 m/s2. Hint: the normal force is not equal to the weight)
Answer:
The acceleration of the box is 2.05 m/s²
Explanation:
The given parameters of the motion of the box are;
The mass of the box, m = 50 kg
The pulling force, [tex]F_p[/tex] acting on the box = 200 N
The angle at which the force acts, θ = 30° above the horizontal
The coefficient of kinetic friction, [tex]\mu_k[/tex] = 0.25
The normal reaction from the box resting on a flat surface, N = The weight of the box, W - The vertical component of the pulling force, [tex]F_{py}[/tex]
N = W - [tex]F_{py}[/tex] = m·g - [tex]F_p[/tex] × sin(θ)
Where;
g = The acceleration due to gravity = 9.8 m/s²
∴ N = W - [tex]F_{py}[/tex] = m·g - [tex]F_p[/tex] × sin(θ) = 50 kg × 9.8 m/s² - 200 N × sin(30°)
∴ N = 490 N - 200 N × 0.5 = 390 N
The normal reaction, N = 390 N
The force of friction, [tex]F_f[/tex] = The coefficient of kinetic friction, [tex]\mu_k[/tex] × The normal reaction, N
∴ [tex]F_f[/tex] = [tex]\mu_k[/tex] × N = 0.25 × 390 N = 97.5 N
The net force, [tex]F_{NET}[/tex], acting on the block = The pulling force, [tex]F_p[/tex] - The friction force, [tex]F_f[/tex]
∴ [tex]F_{NET}[/tex] = [tex]F_p[/tex] - [tex]F_f[/tex] = 200 N - 97.5 N = 102.5 N
[tex]F_{NET}[/tex] = 102.5 N
According to Newton's second law of motion on the net force acting on an object, we have;
[tex]F_{NET}[/tex] = m × a
Where;
a = The acceleration of the box
∴ a = [tex]F_{NET}[/tex]/m = 102.5 N/(50 kg) = 2.05 m/s²
The acceleration of the box = a = 2.05 m/s².
A ball is moving at 4.5 m/s and has a momentum of 75 kg·m/s. What is the ball's mass?
Answer:
Mass = 16.67kg
Explanation:
Given the following data;
Velocity = 4.5m/s
Momentum = 75kgm/s
To find the mass;
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
Momentum = mass * velocity
Substituting into the equation, we have
75 = mass * 4.5
Mass = 75/4.5
Mass = 16.67kg
Therefore, the ball's mass is 16.67 kilograms.
The ball's mass will be "16.67 kg".
Momentum and Mass:Momentum seems to be the product of a subatomic particle mass as well as the velocity. Momentum would be vector quantity, which means it does have a magnitude as well as an orientation.
In contrast, a particle's momentum seems to be a measurement it takes for a continuous force to bring that one to remainder.
According to the question,
Velocity = 4.5 m/s
Momentum = 75 kg.m/s
By using the formula,
→ Momentum = Mass × Velocity
or,
→ [tex]Mass = \frac{Momentum}{Velocity}[/tex]
By substituting the values,
[tex]= \frac{75}{4.5}[/tex]
[tex]= 16.67 \ kg[/tex]
Thus the above answer is right.
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A 1250kg car driving 1200km to Florida in 19.5 hours gets a speeding ticket for traveling 120km/h in Turbeville South Carolina. What is the cars average speed during the trip?
Answer:
v = 61.54 km/h
Explanation:
The average speed of the car can be found by using the total distance covered by the car and the total time taken for that distance to be traveled. Therefore, the average speed of the car can be found by the following formula:
[tex]v = \frac{d}{t}\\[/tex]
where,
v = average speed during the trip = ?
d = total distance driven by the car = 1200 km
t = time taken for the traveling = 19.5 hr
Therefore,
[tex]v = \frac{1200\ km}{19.5\ hr}\\\\[/tex]
v = 61.54 km/h
3 m/s
4 m
Which of the following is the frequency of the wave?
a) 0.75 Hz
b) 1.33 Hz
C) 1.5 Hz
d) 6.0 Hz
Answer:
0.75Hz
Explanation:
Given parameters:
Speed of the wave = 3m/s
Wavelength = 4m
Unknown:
Frequency of the wave = ?
Solution:
The speed of a wave is given by the expression below:
Speed = frequency x wavelength
Frequency = [tex]\frac{Speed }{Wavelength}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75Hz
Ka Lon pushed a 18 kg ball off of a bridge. The ball's velocity just before
it hit the water below was 23 meters per second. Find the ball's kinetic
energy.
4761 Joules
414 Joules
207 Joules
9522 Joules
Answer:
4761J
Explanation:
Given parameters:
Mass of the ball = 18kg
Velocity before it hits the water below = 23m/s
Unknown:
Kinetic energy of the ball = ?
Solution:
Kinetic energy is the energy due to the motion of a body. It is mathematically expressed as:
Kinetic energy = [tex]\frac{1}{2}[/tex] m v²
m is the mass
v is the velocity
So;
Kinetic energy = [tex]\frac{1}{2}[/tex] x 18 x 23² = 4761J
Sergio wants to begin a sensible weight loss program. Along with healthy nutrition which fitness product would benefit him the most in this weight loss goal?
Answer:
b. Comfortable pair of athletic shoes.
Explanation:
Analyzing the information and the options, the fitness product that would most assist Sergio in reaching his weight loss goals would be the pair of comfortable sports shoes, which he could use to do running exercises.
For beginning practitioners it is ideal to start exercising with short 30-minute walks until the body adapts and you gain physical conditioning and endurance.
Running has the advantage of being an excellent exercise that can be practiced anywhere, and helps in the production of dopamine, which produces a feeling of well-being and also helps in reducing hunger, in addition to working and strengthening various muscle groups in the body, activate blood circulation, decrease anxiety, improve cholesterol levels, control blood pressure, etc.
Answer:
b. Comfortable pair of athletic shoes.
Explanation:
1. What is the kinetic Energy of a 1500kg object moving at 21 m/s?
2. A cat decides to jump down from the top of a bookshelf. It has 68 J of mechanical energy and 19 J of gravitational potential energy. What is the kinetic energy of the cat?
3. What is the kinetic energy of a 423 kg object moving at 14 m/s?
please i needed for grade
Importance of liquid pressure
Answer:
hope it helps...
Explanation:
Both the water in the ocean and the air in the atmosphere exert pressure because of their moving particles. ... This causes greater pressure. Denser fluids such as water exert more pressure than less dense fluids such as air. The particles of denser fluids are closer together, so there are more collisions in a given area.
Carbon-14 is used to determine the time an organism was living. The amount of carbon-14 an organism has is constant with the atmosphere, but when an organism dies the carbon-14 decays at a half-life of 5,730 years. If an archeologist measured the amount of carbon-14 in an organism and it was 25% of the total amount of atmospheric C-14, what is the age of the organism? 1432.5 years 5,730 years 11,460 years 17,190 years
Answer:
The age of the organism is approximately 11460 years.
Explanation:
The amount of carbon-14 decays exponentially in time and is defined by the following equation:
[tex]\frac{n(t)}{n_{o}} = e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial amount of carbon-14.
[tex]n(t)[/tex] - Current amount of carbon-14.
[tex]t[/tex] - Time, measured in years.
[tex]\tau[/tex] - Time constant, measured in years.
Then, we clear the time within the formula:
[tex]t = -\tau \cdot \ln \frac{n(t)}{n_{o}}[/tex] (2)
In addition, time constant can be calculated by means of half-life of carbon-14 ([tex]t_{1/2}[/tex]), measured in years:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]
If we know that [tex]\frac{n(t)}{n_{o}} = 0.25[/tex] and [tex]t_{1/2} = 5730\,yr[/tex], then the age of the organism is:
[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]
[tex]\tau \approx 8266.643\,yr[/tex]
[tex]t = -(8266.643\,yr)\cdot \ln 0.25[/tex]
[tex]t \approx 11460.001\,yr[/tex]
The age of the organism is approximately 11460 years.
Answer:
8
Explanation:
which change will occur in the wire of an electrical circuit as working properly
a. the wires will lose some of its mass
b. the wire will become warmer
C. the wire will form an electrical field
d. the wire will develop a new crystal structure
Answer:
b. the wire will become warmer
Explanation:
The change that will occur in the wire of an electrical circuit working properly is that the wire will become warmer.
The reason for this is that some of the electrical energy will be converted to heat or thermal energy.
As the electrons through the mobile charge carriers moves in the wire, kinetic energy increases. The source of this is from the potential difference originating from the source of the current within the circuit. Some of the energy is then converted to heat energy .This one of the source of loss in energy within the circuit.Heat energy is produced when molecules move. True False
Answer:
true
Explanation:
PLEASE HELP I DONT GET HOW TO ANSWER...
• If we did use zero-friction machines for these purposes, how would our everyday lives change?
Answer:
the world would just slide forever
Explanation:
A frictional force exists when two objects come in contact with each other. It opposes motion, meaning if something is sliding on the floor, friction is the force that makes it eventually come to a stop. In a world without friction, the object would continue to slide forever, if not acted on by another force.
I NEED HELP ASAP IM ON TIMER !!!!
Three railway stations, A, B, and C, are situated on a straight railway route. Station B is at 30 km in the east from station A and station C is at 60 km in east from station A. A train, with a constant average velocity, starts from A and reaches B in 15 minutes, and reaches C in 30 minutes. Assuming that station A is the origin, find the following:
a. The position of the train moving from station A to station B after 10 minutes.
b. The position of the train moving from station A to station B after 10 minutes, if station B is assumed to be the origin.
c. The position of the train moving from station A to station B after 10 minutes, if station C is assumed to be the origin.
Answer:
a.) 20 km east
b.) 50 km west
c.) 80 km west
Explanation:
As given,
Railway station - A B C
Distance(km) - 0 30 60
Starts from A , train reaches B be in 15 minutes
Starts from A , train reaches C be in 30 minutes
a.)
If A is origin
As train covers 30km = 15 minutes
⇒ 15 minutes = 30 km
1 minute = [tex]\frac{30}{15} = 2[/tex] km
⇒ 10 minutes = 2×10 = 20 km
∴ we get
The position of the train moving from station A to station B after 10 minutes = 20 km east
b.)
If B is origin then , the position of the train moving from station A to station B after 10 minutes = 30 + 20 = 50 km west
( Because B is the origin , so firstly train go from B to A in 15 minutes ( 30 km ) then A to B in 10 minutes (20 km) )
c.)
If C is the origin then , the position of the train moving from station A to station B after 10 minutes = 60 + 20 = 80 km west
( Because C is the origin , so firstly train go from C to A in 30 minutes ( 60 km ) then A to B in 10 minutes (20 km) )
6
DO
Which are examples of a medium?
water and air
amplitude and wavelength
crests and troughs
compressions and rarefactions
Answer:
water and air
Explanation:
The examples of medium from this problem is water and air.
A medium is an agency or a means of propagating energy, waves or even facilitating a chemical reaction.
Fluids are very good medium in chemistry for chemical reactions. The two most common media used are air and water.
In physics, a vacuum is an empty space that has been evacuated. It also serves as a medium to study some physical phenomenon.
I just wanna know if this answer is correct. Thank you
CAN SOMEONE HELP ME PLEASE
An object that is 10 m above the ground, posesses 2.000 J of gravitational potential energy. What is the object's mass?
Answer:
20kilograms
Explanation:
GPE = MGH
2000 = M × 10m/s2 × 10
100m= 2000
m = 20kg ( Answer)
HELP PLS
use newton's first law to explain why it is easier to turn a truck when it is empty than when it is carrying a heavy load
Answer:
When the Truck moves in a straight line, it is in the State of Motion only along the straight line. However, When the Truck turns and changes it's direction, due to it's Inertia Of Direction, it resists any change in it's direction along the straight line, it had been travelling before. As we know that, Inertia is directly proportional to the mass of the object. When the Truck is empty, there is no load on it's carriers. Hence, As the Net Mass is the mass of the Truck itself, the Inertia Of Direction too would be less.On the other hand, when the Truck transports additional loads on it's carriers, it's Total Mass now increases due to the additional mass of the load as well as pre-existing mass of the Truck itself. As the mass is greater in this case, the Inertia Of Direction is greater too.Due to an Higher Inertia in the Second Case, the Truck finds it difficult to turn itself to the desired direction.Mali loves to make herself dizzy. She spins in place 7 times before falling down right where she was standing. Find her distance and displacement.
Answer:
Distance-0
Displacement-0
Explanation:
She spun in place and fell in her exact placement she didnt move and distance or displace any area
Mali loves to make herself dizzy, so she spins in place 7 times at a particular place, then the distance and displacement will be equal to zero.
What are distance and displacement?The complete movement of an object, regardless of direction, is referred to as a distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance. A distance can alternatively be thought of as a scalar quantity, meaning that it is independent of an object's motion's direction.
The term "displacement" simply describes how an object's location has changed. For instance, when an object travels from point A to point B, displacement has taken place. A vector quantity with both magnitude and direction is displacement.
Hence, distance and displacement covered by Mali will be zero.
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Which gas is most popular as laughing gas?
Answer:
Nitrous oxide
Nitrous oxide, often called laughing gas, makes a serious impact on the Earth.
Okay I need help please 40 points just give me 3 examples no need to due 10 just 3!!! Please help
Answer:
Do you have a list of all the energies?
Bomb exploding would use chemical reaction (ammonium nitrate for ex), then thermal energy from heat generated, then kinetic energy from the blast overpressure/schockwave.
What is the momentum of a 40,000,000kg tanker traveling at 5m/s?
Momentum
Formula:
Momentum
(kg m/s)
Oy
im
Mass
(kg)
Velocity
(m/s)
m
х
V
Momentum (kg m/s) = Mass (kg) * Velocity (m/s)
Answer:
You've got the formula so when the multiplication is done (40,000,000×5)=200,000,000kg m/s
An object moves along a circular track of radius 3.00 m. The object completes one loop around the track in 4.00 s. Determine the centripetal acceleration of the object.
Answer:
a = 7.4 m / s²
Explanation:
The centripetal acceleration of an object that has constant speed is
a = v² / r
linear and angular velocity are related
v = w r
let's substitute
a = w² r
the angular velocity is related to the period
w = 2π / T
we substitute
a = [tex]\frac{4\pi ^2 \ r}{T^2}[/tex]
let's calculate
a = 4π² 3.00 /4²
a = 7.4 m / s²
A2.0kg arrow is fired at 10m/s into a stationary 10 kg block of ice as shown below: the arrow sticks into the block of ice and they start moving . What is the velocity of the arrow/ice combination after the collison
Answer:
the velocity is 1.67 m/s
Explanation:
The computation of the velocity of the arrow/ice combination after the collison is shown below:
Here the law of conservation is applied
[tex]p_i = p_f\\\\m_av_a+m_b+v_b= (m_a + m_b)v[/tex]
Here
[tex]m_a = 2.0 kg\\\\v_a = 10m/s\\\\m_b = 10 kg\\\\v_b = 0[/tex]
Now
[tex]v = \frac{m_av_a+ m_bv_b}{m_a + m_b} \\\\= \frac{(2.0kg) (10 m/s) + 0}{2.0kg + 10.0kg}[/tex]
= 1.67 m/s
hence, the velocity is 1.67 m/s
Scientists observe an approaching asteroid that is on a collision course with
Earth. They devise a plan to launch a rocket that will collide with the asteroid
inelastically and stop it. The mass of the asteroid is 11,000 kg, and it is
approaching Earth at 50 m/s. If the rocket has a mass of 1700 kg,
approximately what velocity must it have to completely stop the asteroid after
collision?
A. -516 m/s
B. 105 m/s
O C. -324 m/s
D. 212 m/s
Answer:
The approximate velocity the rocket must have to stop the asteroid completely after the collision is;
C. -324 m/s
Explanation:
The parameters of the asteroid and the rocket are;
The mass of the asteroid, m₁ = 11,000 kg
The initial velocity with which the asteroid is approaching Earth, v₁ = 50 m/s
The mass of the rocket, m₂ = 1700 kg
The initial velocity of the rocket = v₂
The final velocity of the combined asteroid and rocket after the collision, v₃ = 0 m/s
By the law of conservation of linear momentum, we have;
The total initial momentum = The total final momentum
m₁·v₁ + m₂·v₂ = (m₁ + m₂)·v₃
Substituting the known values, we get;
11,000 kg × 50 m/s + 1,700 kg × v₂ = (11,000 kg + 1,700 kg) × 0 m/s
11,000 kg × 50 m/s + 1,700 kg × v₂ = 0
∴ 1,700 kg × v₂ = -11,000 kg × 50 m/s
v₂ = (-11,000 kg × 50 m/s)/(1,700 kg) = -323.529412 m/s ≈ -324 m/s
The approximate initial velocity the jet must have to completely stop the asteroid after the collision is -324 m/s.
can some one help me to answer it.
Answer:
force gravitational attraction =18.69×10^-14
hope it helps.