A 3,500 kg probe lands on a planet where the gravitational field is twice that of Earth.
The gravitational force exerted on the probe while it is on the surface of the planet can be calculated using the formula: F = m * g', where F is the gravitational force, m is the mass of the probe (3,500 kg), and g' is the gravitational acceleration on the planet. Since the planet's gravitational field is twice that of Earth, g' = 2 * g (where g is Earth's gravitational acceleration, approximately 9.81 m/s²).
So, g' = 2 * 9.81 m/s² = 19.62 m/s².
Now, we can calculate the gravitational force: F = 3,500 kg * 19.62 m/s² ≈ 68,670 N (Newtons).
The gravitational force exerted on the probe while it is on the surface of the planet is approximately 68,670 N.
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A ship's propeller of diameter 3 m makes 10.6 revolutions in 30s. What is the angular velocity of the propeller?
Answer:
The angular velocity of the propeller is 2.22 rad/s.
Explanation:
The angular velocity (ω) of the propeller is:
\( \omega = \frac{\Delta \theta}{\Delta t} \)
Where:
θ: is the angular displacement = 10.6 revolutions
t: is the time = 30 s
\( \omega = \frac{\Delta \theta}{\Delta t} = \frac{10.6 rev*\frac{2\pi rad}{1 rev}}{30 s} = 2.22 rad/s \)
Therefore, the angular velocity of the propeller is 2.22 rad/s.
I hope it helps you!
Given:
Angular displacement,
\(\Theta = 10.6\)Diameter,
3 mTime,
\(\Delta t = 30 \ s\)Now,
The angular velocity will be:
→ \(\omega = \frac{\Delta \Theta}{\Delta t}\)
By putting the values, we get
\(= \frac{10.6\times \frac{2 \pi rad}{1 \ rev} }{30 \ s}\)
\(= 2.22 \ rad/s\)
Thus the response above is right.
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I need to get into uni pls help
TRUE OR FALSE
an airplane is flying on a course directed 60 degrees East of South. If the plane continues, the plane will fly farther south than east
Answer:
True
Explanation:
This Question is a little tricky, so I am unsure if this s the most logical answer.
If you'd look at a compass, 60 degrees south is moreover south then east, and the two imaginary lines are unlikely to intercept.
Which action is an example of a force that operates at a distance?.
Answer: Gravitational forces are action-at-a-distance forces
Explanation:
Gravitational forces are action-at-a-distance forces that act between two objects even when they are held some distance apart. For example If you watch a roller coaster car move along its course, then you are witnessing an action-at-a-distance.
What Element is represented by the diagram?
Answer:Beryllium
Explanation:
good question Explanation:
How many individual atoms are there in a water molecule?
Answer: 3
Explanation:
The water molecule is H2O. 2 hydrogen atoms are bonded to one oxygen atom. Therefore there are 3 individual atoms in 1 molecule of water. 2 different TYPES of atoms, but 3 individual atoms.
a fragment of bone is discovered during an archaeological dig. the bone contains carbon-14 isotopes of the element carbon. the bone is approximately 23000 years old. calculate what proportion of the carbon-14 isotopes remains. give your answer to the nearest whole fraction. the half life of carbon-14 is 5730 years.
When a fragment of bone containing carbon-14 isotopes of the element carbon is discovered during an archaeological dig, and it is estimated to be approximately 23,000 years old, one can calculate the proportion of the carbon-14 isotopes that remains.
The half-life of carbon-14 is 5,730 years. Carbon-14 has a half-life of 5,730 years, which implies that half of the carbon-14 atoms will decay every 5,730 years. This property of carbon-14 may be used to determine the age of ancient artefacts and fossils. By determining the proportion of carbon-14 remaining in a sample, we may determine how old it is.According to the problem, the bone is around 23,000 years old. We can utilize the following formula to calculate the proportion of carbon-14 isotopes that remain: Proportion remaining = (1/2)^(number of half-lives)We can first calculate the number of half-lives that have occurred since the bone was alive. The number of half-lives is calculated as follows:Number of half-lives = (time elapsed) / (half-life)Number of half-lives = 23,000 / 5,730Number of half-lives = 4.016So the number of half-lives that have occurred since the bone was alive is 4.016. We can now use this number to calculate the proportion of carbon-14 isotopes that remains:Proportion remaining = (1/2)^(4.016)Proportion remaining = 0.105Therefore, the proportion of carbon-14 isotopes that remains is 0.105, or approximately 1/10 (to the nearest whole fraction).For such more question on Proportion
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Answer These questions and you will get the brain list
Answer:
1)gravitational force
tension
normal reaction
friction
electromagnetic force
(not so sure about the 1st question)
2)friction is the resisting force applied by the surface on a moving object or object which tries to move.
3)F=ma
=500kg*5ms^-2
=2500N
A man is driving his 1100 kg car at 36 km/h on a straight freeway. After accelerating for 30 seconds, the car
has a speed of 108 km/h. How much work did the engine do during the 30 seconds?
Answer:
W = 439998 J = 439.99 KJ
Explanation:
First, we will calculate the acceleration of the car by using the first equation of motion:
\(v_f = v_i + at\\\\a = \frac{v_f-v_i}{t}\)
where,
a = acceleration = ?
vf = final speed = \(108(\frac{km}{h})(\frac{1000\ m}{1\ km})(\frac{1\ h}{3600\ s})\) = 30 m/s
vi = initial speed = \(36(\frac{km}{h})(\frac{1000\ m}{1\ km})(\frac{1\ h}{3600\ s})\) = 10 m/s
t = time = 30 s
Therefore,
\(a = \frac{30\ m/s - 10\ m/s}{30\ s}\)
a = 0.67 m/s²
Now, we will calculate the force applied by the engine:
F = ma
where,
F = force = ?
m = mass = 1100 kg
Therefore,
F = (1100 kg)(0.67 m/s²)
F = 733.3 N
Now, we will calculate the distance covered by the car by using the second equation of motion:
\(s = v_it+\frac{1}{2}at^2\\\\s = (10\ m/s)(30\ s)+\frac{1}{2} (0.67\ m/s^2)(30\ s)^2\)
s = 600 m
Now, the work done (W) by engine can be calculated as follows:
W = Fs
W = (733.3 N)(600 m)
W = 439998 J = 439.99 KJ
chegg part a theory please study wave concept and answer the following questions. 1. what is wave? what is the difference between wave motion and particle in motion? what are the characters of mechanical wave?
A wave is a disturbance that transfers energy through a medium without causing permanent displacement of the particles in the medium. The main difference between wave motion and particle motion is that in wave motion, energy is transferred through the medium without the physical particles themselves moving significantly. In particle motion, on the other hand, the particles themselves move from one location to another.
Mechanical waves have certain characteristics. They require a medium to propagate, such as water or air. They can be transverse or longitudinal in nature. Transverse waves have particles oscillating perpendicular to the direction of wave propagation, like light waves. Longitudinal waves have particles oscillating parallel to the direction of wave propagation, like sound waves. Mechanical waves also have properties such as amplitude, wavelength, frequency, and speed.
In summary:
1. A wave is a disturbance that transfers energy through a medium.
2. Wave motion involves the transfer of energy without significant particle displacement, while particle motion involves the physical movement of particles.
3. Mechanical waves require a medium, can be transverse or longitudinal, and have properties like amplitude, wavelength, frequency, and speed.
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Explain what is weight? How is it different from
mass?
Answer:
The difference between mass and weight is that mass is the amount of matter in a material, while weight is a measure of how the force of gravity acts upon that mass. Mass is the measure of the amount of matter in a body. Mass is denoted using m or M.
Explanation:
Answer:
he mass is essentially "how much stuff" is in an object. Weight = There is a gravitational interaction between objects that have mass. If you consider an object interacting with the Earth, this force is called the weight.
Explanation:
Your mass is the same no matter where you go in the universe; your weight, on the other hand, changes from place to place.
"during a test crash, a 500 kg car is driven at a constant velocity of 50 mph until it hits a wall without braking. apply all three of newton's laws to this situation."
Newton's first law states that an object will remain in its state of motion unless acted upon by an external force. Newton's second law states that the net force acting on an object is equal to the product of its mass and acceleration.
According to Newton's first law, the car will continue to move at a constant velocity of 50 mph unless acted upon by an external force. When the car hits the wall, a force is exerted on the car, causing it to come to a stop. This force is the result of an interaction described by Newton's third law. As the car collides with the wall, it experiences a deceleration due to the force applied by the wall.
Applying Newton's second law, we can determine the acceleration of the car during the collision. Since the car's velocity is changing from 50 mph to 0 mph, there is a net force acting on the car in the opposite direction of its motion. This force is caused by the collision with the wall and is responsible for decelerating the car.
Newton's third law states that for every action, there is an equal and opposite reaction. In the context of the car crash, these laws can be used to analyze the forces acting on the car.
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A small person was running way faster than a bigger person that weighed more collided in a football game. Who would be pushed back or down?
Answer:
smaller one
Explanation:
even though he is moving quicker doesn't mean he will be packing more force in the collision
Decide whether each statement is True or False, and give a reason for each answer. Here V is a nonzero finite-dimensional vector space. a. If dim V p and if S is a linearly dependent subset of V, then S contains more than p vectors. b. If S spans V and if T is a subset of V that contains more vectors than S, then T is linearly dependent.
The first statement is true; if dim V = p and if S is a linearly dependent subset of V, then S contains more than p vectors.
The second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearlyly dependent.
Explanation:
If S is linearly dependent, then there is at least one vector in S that can be written as a linear combination of the remaining vectors. If this is the case, then this vector is redundant, and it can be removed from S. This means that we can repeat the process until we have removed all the redundant vectors from S.So, let us assume that S is a linearly dependent subset of V such that dim V = p, then we have the following:dim (span S) < dim Vp. So S contains more than p vectors.
The second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearly dependent.
Explanation:Let us assume that S spans V and if T is a subset of V that contains more vectors than S, then T must have a vector not in S. We can add this vector to S to get a set that contains all the vectors in T. The resulting set is linearly dependent because it contains more vectors than S, which is known to span V.
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The SI unit of measurement for mass is the
Answer:
m/s is answer for your questions
The power output of a tuba is 0.35 W. At what distance is the sound
intensity of the tuba 1.2 x 10-3 W/m^2?
The distance of the sound from the tuba is 4.82 m.
Area of the tube
The area of the tuba is calculated as follows;
I = P/A
where;
I is intensity of soundP is powerA is areaA = P/I
A = 0.35 / (1.2 x 10⁻³)
A = 291.67 m²
Distance of the soundArea = 4πr²
\(r = \sqrt{\frac{A}{4\pi} } \\\\r = \sqrt{\frac{291.67}{4\pi} } \\\\r = 4.82 \ m\)
Thus, the distance of the sound from the tuba is 4.82 m.
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what is the resistance of a 3.4- m length of copper wire 1.6 mm in diameter? the resistivity of copper is 1.68×10−8ω⋅m .
The resistance of this copper wire is R = 0.000227 Ω
How to find the resistance?We want to find the resistance of a copper wire, so we can use the formula:
R = (ρ * L) / A
Where the variables are:
R is the resistance (in ohms)ρ is the resistivity of copper (in ohm⋅m)L is the length of the wire (in meters)A is the cross-sectional area of the wire (in square meters)Given:
Length of the copper wire (L) = 3.4 m
Diameter of the wire = 1.6 mm
First, let's calculate the cross-sectional area (A) of the wire using the diameter:
Radius (r) = diameter / 2 = 1.6 mm / 2 = 0.8 mm = 0.0008 m
Area (A) = π * r² = π * (0.0008 m)²
Now, let's substitute the values into the resistance formula:
R = (1.68 × 10⁻⁸ Ω⋅m * 3.4 m) / (π * (0.0008 m)²)
R = 0.000227 Ω
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which types of waves have the shortest wavelength?
Perspex has a greater refractive index than ice. Explain what happens to the speed and direction of a ray of light at it travels from ice into Perspex. Thanks!
Answer:
when the ray passes from ice to perspex it must approach the normal
Explanation:
This is an exercise in refraction of light, the process is governed by the expression
n₁ sin θ₁ = n₂ sin θ₂
where we use index 1 for the incident medium and subscript 2 for the scattered medium.
In our case, medium 1 is ice with the lowest refractive index.
sin θ₁ = n₂ / n₁ sin θ₂
To fulfill this equation, if the ray travels through the medium 1 ice with an angle θ₁, the angle in the medium 2 perspex must be smaller so that the sine is smaller, so when the ray passes from ice to perspex it must approach the normal
Which describes the results of the double slit experiment? select 2 options. waves produced a diffraction pattern. results supported the wave theory of light. results demonstrated the relationship between electric and magnetic fields. beams of light separated as they passed through a prism. results supported the particle theory of light.
The results of young's double-slit experiment were
- Waves produced a diffraction pattern.
- Results supported the wave theory of light.
- Results supported the particle theory of light
Two coherent sources of light are employed in Young's double-slit experiment, which is often conducted at a distance that is only a few times greater than the wavelength of the light used. Young's double-slit experiment contributed to our knowledge of the diagrammed wave theory of light.
The act of bending of the light around edges such that it expands out and illuminates regions, where a shadow is anticipated, is known as the diffraction of light. In general, since both occur simultaneously, it is challenging to distinguish between diffraction and interference.
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Answer: A,B,E.
Explanation: doing the quiz on edge!
The breaking distance of a car is directly proportional to
its speed squared. A car takes 32m to stop when travelling at
12m/s. Calculate the breaking distance when travelling at
18m/s
Answer:
72 meters
Explanation:
Breaking distance is directly proportional to the speed squared.
d = k v²
When v = 12 m/s, d = 32 m.
32 = k (12)²
k = 2/9
d = 2/9 v²
When v = 18 m/s:
d = 2/9 (18)²
d = 72
A bus traveled 2.5 hours in 150 km. What was its average speed?
s=d/t
v=D/t
a=(v-v.)lt
Answer:
Average speed = 60km/hr
Explanation:
Given the following data;
Time = 2.5 hrs
Distance = 150km
To find the average speed;
Average speed = distance/time
Substituting into the equation, we have
Average speed = 150/2.5
Average speed = 60km/hr
HELPPP PLEASE !!!
1. look carefully at the pair of images and think about what the arrow means.
which image ( A or B ) shows the direction someone would need to kick the ball in order to move it toward the goal?
Answer:
It is A that best describe it.
The image that shows the direction someone would need to kick the ball in order to move it toward the goal is image A.
We have,
The arrow in a diagram tells us the direction in which it will go.
Now,
From image A and image B,
Image A tells us that if we kick the ball in the right direction it will hit the goal.
Image B tells us that if we kick the ball in the left direction the ball will not hit the goal but go to the opposite direction.
Thus,
The image that shows the direction someone would need to kick the ball in order to move it toward the goal is image A.
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A ball is projected upwards from a bridge and hits the ground 5 seconds after it was originally projected its initial velocity is 15 m/s and it’s final velocity is 34 m/s calculate the height of the bridge.Max height = 11.48 m
Given:
• Time, t =5 seconds
,• Initial velocity, u = 15 m/s
,• Final velocity, v = 34 m/s
Given that the ball is projected upwards from a bridge, let's find the height of the bridge.
Let's first find the height from the top of the bridge to the maximum height.
To find the height apply the formula:
\(v^2=u^2-2as\)Where:
v is the final velocity = 0 m/s (velocity at max height).
u is the initial velocity = 15 m/s
a is acceleration due to gravity = 9.8 m/s²
s is the height.
\(\begin{gathered} 0^2=15^2-2(9.8)s \\ \\ 0=225-19.6s \\ \\ 19.6s=225 \\ \\ s=\frac{225}{19.6} \\ \\ s=11.48\text{ m} \end{gathered}\)The distance from the bridge to the maximum height is 11.48 m.
Now, let's find the maximum height to the ground.
\(v^2=u^2+2as\)Where:
v is the final velocity = 34 m/s
u is the initial velocity = 0 m/s (velocity at the top).
a is acceleration due to gravity = 9.8 m/s²
s is the maximum height.
Thus, we have:
\(\begin{gathered} 34^2=0^2+2(9.8)s \\ \\ 1156=19.6s \\ \\ s=\frac{1156}{19.6} \\ \\ s=58.9\approx59\text{ m} \end{gathered}\)The maximum height is 59 meters.
To find the height of the bridge, we have:
Height of bridge = Maximum height - Distance from top of bridge to max height.
Height of bridge = 59m - 11.48m = 47.52 m
Therefore, the height of the bridge is 47.52 meters.
• ANSWER:
47.52 meters.
How can diseases impact the circulatory system? How do the levels of organization in the circulatory system work together to prevent disruption from occurring?
There are numerous connections among illnesses of the circulatory system. For instance, excessive blood pressure harms the blood vessels and may cause additional circulation issues.
Prevention of circulatory diseases
High cholesterol causes the blood arteries to narrow, which raises a person's risk of developing a blood clot.
Obesity and being overweight raise the risk of getting cardiovascular disorders. A healthy diet and exercise, though, can lower the risk.
By lowering the risk of high blood pressure, high cholesterol, and being overweight — all of which are risk factors for circulatory disorders — regular exercise helps to keep the heart healthy.
It is more common for someone to get a circulatory disease if they have family members who have the condition. A healthy lifestyle, however, can lower this risk.
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Why do astronauts look so light on their feet on the Moon?
Answer:
Because of gravity
Explanation
The moon has 1.62m/s2
Describe Kinetic Energy.
the acceleration of an object is due to the net force on the object and the objects?
Answer:
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.
how are mass, distance and gpe related
Answer:
It is direct proportionality. The greater the mass, the greater is the gravitational potential energy. The equation for GPE is : GPE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height above the ground. As you can see GPE is directly proportional to mass, and height. KT.
Explanation:
Gravitational potential energy is a function of both the mass of your system and the mass of the thing generating the gravity field around your system.
The relationship is linear, which means that if you multiply or divide one of the masses by some number but leave everything else the same, you multiply or divide the potential energy by the same number. A 3kg mass has three times the gravitation potential energy of a 1kg mass, if placed in the same location.
A positively charged rod is brought close to one end of a neutral metallic plate. what type of charge is induced on the closest side of the plate?
The closest side of the neutral metallic plate will have a negative charge induced.
When a positively charged rod is brought close to a neutral metallic plate, it induces a redistribution of charges in the plate through the process of electrostatic induction. The positive charge on the rod attracts negative charges in the plate, causing them to move toward the closest side of the plate.
Since like charges repel each other, the negative charges in the plate will be repelled by the negatively charged rod and accumulate on the side of the plate closest to the rod. This accumulation of negative charges creates an excess of electrons on that side of the plate, resulting in a negative charge being induced.
Therefore, the closest side of the neutral metallic plate will have a negative charge induced. This induction of charges is temporary and occurs due to the influence of the charged rod. Once the rod is removed, the plate will return to its neutral state.
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Help me please it due today at 11:59 pleasss
Answer:
see below
Explanation:
1. density = mass / volume
2. kg/mL, g/cm³
3. volume = mass / density
4. mass = density x volume
5.
d = m / v
d = 32.9 g / 45.78 mL
d = 0.72 g/mL
6.
vol = m / d
vol = 0.62 g / 120g/cm³
vol = 0.00517 cm³
7.
m = v * d
m = 2.07 g/mL * 60.9 mL
m = 126.063 g