The car and clay will move together at 1.986 m/s after the collision.
To calculate the impact of a 12 kg lump of clay on a 1700 kg car, we need to apply the principle of the conservation of momentum.
The momentum of the car before the collision is given by:
P_before = m_car * v_car
P_before = 1700 kg * 2.0 m/s
P_before = 3400 kg·m/s
The momentum of the clay lump before the impact is zero because it is not moving.
The momentum of the car and clay together after the collision is given by:
P_after = (m_mobil + m_clay) * v_after
where v_after is the speed of the car and the clay together after the collision.
We know that the clay sticks to the car, so we can assume that they will move together at the same speed after the impact.
Therefore, we can write:
P_after = (m_mobil + m_clay) * v_after
P_after = (1700 kg + 12 kg) * v_after
P_after = 1712 kg * v_after
According to the principle of conservation of momentum, the momentum before the collision must equal the momentum after the collision.
Because of that:
P_before = P_after
3400 kg m/s = 1712 kg * v_after
Solving for v_after, we get:
v_after = 1.986 m/s
This means that the car and the clay will move together at 1.986 m/s after the collision.
To stop the car completely, we need to apply enough force to bring its speed to zero. Sticky clay will certainly slow down the car, but it is unlikely to stop it completely. We need to apply additional force, such as by applying the brakes, to stop the car completely.
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Suppose Person A runs off the edge of the cliff at 2 m/s and Person B runs off the edge at 1 m/s. Which will hit the ground farther from the base of the cliff?
Answer:
Person A will hit a distance fatherExplanation:
Based on the fact that the velocity of person A is more than that of person B, that is from the question, person A has a velocity of 2m/s and person B has a velocity of 1m/s, this clearly shows that person A has the tendency to hit a distance farther from the cliff than person B.
a car can go from 0 to 60 mph in 12 s. a second car is capable of twice the acceleration of the first car. assuming that it could maintain the same acceleration at higher speeds, how much time will this second car take to go from 0 to 120 mph? a. 12 s b. 9.0 s c. 6.0 s d. 3.0 s
The second car will take 12 s to go from 0 to 120 mph. option (a) is correct.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
A car can go from 0 to 60 mph in 12 s.
Acceleration of the car = (60-0)/(12÷3600) mile/hour² = 18000 mile/hour².
Acceleration of the second car, which is capable of twice the acceleration of the first car = 2×18000 mile/hour². = 36000mile/hour².
So, time taken to go from 0 to 120 mph by second car is:
= (120 - 0)/36000 hour.
= (120 × 3600)/36000 s.
= 12 s.
Hence, this second car will take 12 s to go from 0 to 120 mph.
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A plane takes off at an angle of 30 degrees at a speed of 150 km/h. Determine the horizontal
and vertical components of this velocity vector.
Answer:
Horizontal Component = 129.9 km/h
Vertical Component = 75 km/h
Explanation:
When a vector is resolved on the x-axis and the y-axis, the components so formed are called its rectangular components. The component along y-axis is called the vertical component and the component along x-axis is called horizontal component. These components can be given by following formulae:
Horizontal Component = v Cos θ
Vertical Component = v Sin θ
where,
v = velocity = 150 km/h
θ = angle = 30°
Therefore,
Horizontal Component = (150 km/h)(Cos 30°)
Horizontal Component = 129.9 km/h
Vertical Component = (150 km/h)(Sin 30°)
Vertical Component = 75 km/h
How is the mirror angle related to the angles of incidence and reflection?
Answer:
mirror angle is related to sngle of incident n reflection becuse they are ewaul to each other
A rock is thrown downward at an initial velocity of 20m/s from a 40 meter tall building, what will be its final velocity before hitting the ground?
The final velocity of the rock before hitting the ground is 34.42m/s
Velocity of an object can be said as, the rate of change of displacement with respect to time of an object . Its unit is m/s and it is a vector quantity.
V = Δx/Δt
In here , V is velocity , Δx is change in displacement and Δt is change in time of an object.
We are given that,
The rock thrown downward with initial velocity = (-u) = -20m/s
The height of the building before and after hitting the ground = -Δy = -40 m
Therefore , to get the value of the final velocity (v) of the rock before hitting the ground , then the equation of motion cab be written as,
v² = u² + 2a(Δy )
Here , (a) is the acceleration due to gravity and taken negative (-9.81m/s²) due downward direction of the building then putting all the values in above equation of motion ,
v² = (-20m/s)² + 2(-9.81m/s²) (-40m)
v² = 1184.42m/s
v = 34.42m/s
Hence, the final velocity of the rock before hitting the ground would be 34.42m/s .
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ct,
3.
A rider and motorcycle with a a
250 kilograms are driving down the road at a constant speed
of 55 mph. The motorcycle's engine is producing a force of
1,700 newtons between the tires and the road.
a.
b.
C.
combined
combined mass of
Find the weight of the motorcycle and rider in newtons.
Find the normal force of the road on the motorcycle and
rider.
Find the frictional force of the road and air on the
motorcycle and rider.
a. The weight of the motorcycle and rider would be 2450 N ,
b. The normal force is 2450 N.
c. Frictional force would be 750 N.
What is frictional force?Friction is the force that opposes relative motion between two objects in contact. Frictional force is the force that opposes the motion or tendency of an object to move when in contact with another object. It acts in the opposite direction to the applied force. The magnitude of the frictional force depends on the nature of the surfaces in contact, the normal force between the surfaces, and the coefficient of friction between the surfaces.
a. The weight of the motorcycle and rider can be found using the formula:
Weight (N) = mass (kg) * 9.8 m/s^2
The mass of the motorcycle and rider is 250 kg, so:
Weight = 250 kg * 9.8 m/s^2 = 2450 N
b. The normal force is equal to the weight of the motorcycle and rider:
Normal force = 2450 N
c. Frictional force can be found by subtracting the force produced by the engine from the weight:
Frictional force = Weight - Engine force
Frictional force = 2450 N - 1700 N = 750 N.
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A ball is at the top of a hill with 15,000 J of potential energy. When it reaches the bottom, it has 14,600 J of kinetic energy. What must be true for this scenario to obey the law of conservation of energy?
O Energy was transferred into the system.
O Matter was transferred out of the system.
O Energy was transferred out of the system.
O Matter was transferred into the system.
This scenario to obey the law of conservation of Energy was transferred out of the system.
What is the law of conservation of energy?The law of conservation of energy states that energy cannot be created or destroyed, only transferred from one form to another.
What are some examples of energy transfer?Examples of energy transfer include a light bulb converting electrical energy into light energy, a stove converting chemical energy into heat energy, and a car engine converting fuel energy into kinetic energy.
According to the law of conservation of energy, energy cannot be created or destroyed, only transferred from one form to another. In this scenario, the ball has lost potential energy as it rolled down the hill, and gained kinetic energy as it picked up speed. The total amount of energy in the system remains constant, but some of the potential energy has been transferred into kinetic energy. The difference in potential and kinetic energy (15000 J - 14600 J = 400 J) represents the energy lost due to friction and other factors.
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A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. What is the momentum of the rocket?
A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.
According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.
A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.
We are required to determine the momentum of the rocket.
Consider the fuel-filled rocket as a system.
We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas
We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.
Therefore: Momentum of rocket = - momentum of expelled gas
The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.
Hence, the momentum of the rocket is -1500 kg m/s.
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Which cycle produces the most efficient heat engine possible?-Diesel cycle-Otto cycle-Carnot cycle-Gasoline cycle
The Carnot cycle produces the most efficient heat engine possible.
The Carnot cycle is an idealized thermodynamic cycle that represents the maximum efficiency that a heat engine can achieve. It consists of four reversible processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression.
The efficiency of a heat engine is given by the ratio of the work output to the heat input.
η = 1 - (Tc / Th)
Where Tc is the absolute temperature of the cold reservoir and Th is the absolute temperature of the hot reservoir.
Since the Carnot cycle operates between two temperatures, with one being the highest possible (Th) and the other being the lowest possible (Tc), it achieves the highest theoretical efficiency for a heat engine.
The Diesel cycle, Otto cycle, and gasoline cycle are commonly used in internal combustion engines, but they are less efficient than the Carnot cycle.
Therefore, when it comes to maximizing the efficiency of a heat engine, the Carnot cycle is the cycle that produces the most efficient performance.
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The Carnot cycle produces the most efficient heat engine possible.
The efficiency of a heat engine is a measure of how effectively it converts heat energy into useful work. The Carnot cycle is known to be the most efficient heat engine cycle possible. It is an idealized thermodynamic cycle that consists of four reversible processes: isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression.
The Carnot cycle operates between two heat reservoirs, a high-temperature reservoir and a low-temperature reservoir. During the isothermal expansion process, the working fluid absorbs heat from the high-temperature reservoir and expands. This is followed by the adiabatic expansion process, where the working fluid continues to expand without gaining or losing heat.
Next, the isothermal compression process takes place, during which the working fluid releases heat to the low-temperature reservoir and contracts. Finally, the adiabatic compression process occurs, where the working fluid continues to contract without gaining or losing heat.
The efficiency of a Carnot engine is given by the formula: Efficiency = 1 - (Tc/Th), where Tc is the temperature of the low-temperature reservoir and Th is the temperature of the high-temperature reservoir. The Carnot cycle achieves the highest possible efficiency for a heat engine operating between two given temperatures.
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I'm taking physics and trying to figure out the 4 questions to this problem.
Answer:
Explanation:
At t = 1 velocity = 0
At t = 3 velocity = 3
slope of the line = 3-0 / 3-1 = 3/2
At t = 2
velocity = 3/2 x ( 2 - 1 )
= 1.5 m /s
velocity at t = 2 is 1.5 m /s
Position at t = 2 :
displacement at t = 2
area of graph upto t = 2
= 1 / 2 x 1 x 1.5 = .75
position at t = 2 :
= initial position + displacement
= 10 + .75 = 10.75 m
position at 6 s :
displacement at t = 6
area of curve upto t = 6
= 1 / 2 x 2 x 3 + 3 x 3 + 1/2 x 3 x ( 4.5 - 3 )
= 3 + 9 + 2.25
= 14.25 m
position at t = 6
= initial position + displacement
= 10 + 14.25 = 24.25 m
position at 9 s :
displacement at t = 9
area of curve upto t = 9
= 1 / 2 x 2 x 3 + 4 x 3 + 1/2 x 4 x ( 5 - 3 )- 1/2 x 2 x 1.5
= 3 + 12 + 4 - 1.5
= 17.5 m
position at t = 9
= initial position + displacement
= 10 + 17.5 = 27.5 m
Jennifer and katie stand and lean on each other. Jennifer weighs 150 pounds and katie weighs 120 pounds.
Answer:
Jennifer
Explanation:
she has more mass which means she is using more force
The space shuttle, which was first launched on April 12, 1981, is the world's
first reusable space vehicle. The shuttle is placed in orbit by three engines that
do 1.4 x 1013 J of work in 8.5 min. What is the power output of these engines?
Answer:2.7 X 10₁₀W = 27 GW
Explanation:
W=1.4 X 10₁₃ J
ΔT=8.5 mins
P=W/ΔT=
1.4 x 10₁₃J/(8.5 mins)(60s/min)=2.7 x10₁₀W=27GW
A wooden cube with the mass of 1kg is placed on a frictionless plane that makes an angle of 30° with the floor.
Calculate
a) The force that causes the cube to slide on the plane
b) The acceleration of the cube
c) The normal force on the cube
g is 10.
Answer:
I dont know
Explanation:
A vector
of magnitude 5 units and another vector ū of magnitude 3 units point in directions
differing by 60°. Find out (a) the scalar product of the two vectors and (b) the vector product of the two vectors
Answer:
7.5 units
13 units
Explanation:
\(|v|=5\ \text{units}\)
\(|u|=3\ \text{units}\)
\(\theta\) = Angle between the vectors = \(60^{\circ}\)
Scalar product is given by
\(u\cdot v=|u||v|\cos\theta\\ =3\cdot 5\cdot \cos60^{\circ}\\ =7.5\ \text{units}\)
The scalar product of the vectors is 7.5 units.
Vector product is given by
\(u\times v=|u||v|\sin\theta\\ =3\times 5\sin60^{\circ}\\ =13\ \text{units}\)
The vector product of the vectors is 13 units.
which of these correctly compares the masses of different objects in the universe?
In comparison to a galaxy and a planet, a star is heavier. an accurate comparison of the cosmological masses of various objects.
Do stars have more mass than planets and less mass than galaxies?A galaxy has a mass that is between that of a moon and that of a planet. A planet has more mass than a star, which has less mass than a galaxy. The stars need a lot of mass to maintain nuclear fusion, which requires resulted in the production of each.
What is the proper ranking of the universe's elements, from smallest to largest?Planets and stars, solar systems, galaxies, and the cosmos are some key concepts to keep in mind in the following order: smallest to largest. Each phrase is a part of the following.
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explain the differences among the observable universe expanding, the universe expanding, and the universe's expansion accelerating
The differences among the terms "observable universe expanding", "universe expanding", and "universe's expansion accelerating" are as follows:
1. "Observable universe expanding" refers to the growth of the portion of the universe that we can observe and gather information from. This is due to the ongoing expansion of the universe, which causes objects within the observable universe to move away from us, increasing the size of the region we can detect.
2. "Universe expanding" describes the overall increase in size of the entire universe, including both observable and unobservable regions. This expansion occurs as a result of the Big Bang and the subsequent stretching of space, causing galaxies and other cosmic structures to move apart from one another.
3. "Universe's expansion accelerating" refers to the observation that the rate at which the universe is expanding is not constant but is instead increasing over time. This acceleration is attributed to dark energy, a mysterious form of energy that works against gravity and drives the universe to expand at a faster pace.
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Which characteristics of an area could best identify the type of biome it is
Answer: average annual rainfall, average annual temperatures, types of plants and animals native to the area
Explanation: the best way you can identify a biome is by telling which animal or species are native to the certain area
3. A 50-kilogram boy standing on a friction-free skateboard throws a 5.0-kilogram ball backward off
skateboard at a speed of 10 meters per second. At what speed does the boy move forward?
To solve this problem, you can use the principle of conservation of momentum, which states that the total momentum of an isolated system remains constant unless acted on by an external force.
In this case, the boy and the ball make up an isolated system, so the total momentum of the system before and after the ball is thrown must be the same.
The momentum of an object is equal to its mass multiplied by its velocity, so the momentum of the ball before it is thrown is equal to 5.0 kilograms * 10 meters per second = 50 kilograms*meters per second.
The momentum of the boy before the ball is thrown is equal to 50 kilograms * 0 meters per second = 0 kilograms*meters per second, since he is not moving.
After the ball is thrown, the momentum of the boy is equal to 50 kilograms * V meters per second, where V is the velocity at which the boy moves forward.
The momentum of the ball after it is thrown is equal to (-5.0 kilograms) * (-10 meters per second) = 50 kilograms*meters per second.
Since the total momentum of the system must remain constant, we can set up the following equation:
50 kilograms * V meters per second + 50 kilogramsmeters per second = 50 kilograms * 0 meters per second + 50 kilogramsmeters per second
This simplifies to:
50 kilograms * V meters per second = 0 kilograms * meters per second
Solving for V, we get:
V = 0 meters per second
This means that the boy does not move forward after throwing the ball. This is because the force of the ball being thrown backwards is equal and opposite to the force of the boy moving forward, resulting in no net movement.
the resistance of a conductor is always constant. a. the resistance of a conductor is always constant. b. the current in a conductor is always proportional to the potential difference across the conductor. b. the current in a conductor is always proportional to the potential difference across the conductor. c. the resistance of a conductor increases with increasing temperature. c. the resistance of a conductor increases with increasing temperature. d. the resistance of a conductor is constant only if the temperature of the conductor is constant.
There are two correct statements ( b and c ) i.e. the current in a conductor is always proportional to the potential difference across the conductor and the resistance of a conductor increases with increasing temperature.
a. False. The resistance of a conductor is not always constant. It can depend on factors such as the material, shape, and size of the conductor, as well as the temperature.
b. True. According to Ohm's law, the current in a conductor is directly proportional to the potential difference across the conductor. This means that if the potential difference increases, the current will also increase, and if the potential difference decreases, the current will also decrease.
c. True. The resistance of a conductor generally increases with increasing temperature. This is because the atoms in the conductor vibrate more at higher temperatures, which can make it harder for the electrons to flow through the conductor.
d. False. The resistance of a conductor is not necessarily constant if the temperature of the conductor is constant. It can depend on other factors such as the material, shape, and size of the conductor.
Therefore, the correct statements are b and c.
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Question - Tell which statement is correct and which is not justification? a. the resistance of a conductor is always constant.
b. the current in a conductor is always proportional to the potential difference across the conductor.
c. the resistance of a conductor increases with increasing temperature.
d. the resistance of a conductor is constant only if the temperature of the conductor is constant.
A skateboarder is skating along a level concrete path. Every so often, to keep himself going, he uses his foot to give himself a push. Discuss why the skateboarder needs to regularly push with a foot when skateboarding along a level surface.
In your answer, you should:
- describe the motion of the skateboarder during a push and between pushes
- identify the forces in action and explain whether they are balanced or unbalanced
- link the net force to the motion of the skateboarder.
The skateboarder needs to regularly push with their foot when skateboarding along a level surface because of the presence of frictional forces that oppose motion. When the skateboarder gives themselves a push, they increase their forward velocity.
The skateboarder needs to regularly push with their foot when skateboarding along a level surface because of the presence of frictional forces that oppose motion. When the skateboarder gives themselves a push, they increase their forward velocity. However, over time, the velocity decreases due to the force of friction between the skateboard's wheels and the ground, which acts in the opposite direction to the skateboard's motion. During a push, the skateboarder exerts a force on the skateboard that propels it forward. Between pushes, the skateboard moves at a constant velocity due to the balanced forces acting upon it. However, as frictional forces act on the skateboard, it slows down until the next push is required. The net force acting on the skateboarder is unbalanced, as the force of friction acting against the skateboard's motion is greater than the force of the skateboarder's push. The resulting net force causes the skateboarder to slow down over time. Thus, by pushing themselves, the skateboarder overcomes the force of friction and maintains their forward motion.
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You drive a car 660 ft to the east, then 370ft to the north. (a) What is the magnitude of your displacement? (b) Using a sketch, estimate the direction of your displacement (c) Verify your estimate in part (b) with a numerical calculation of the direction
Answer:
a) 756.64 ft
b) 30 degrees
c) 29.27 degrees.
Explanation:
We can represent the situation as follows:
So, we can find the magnitude of the displacement (the green line) using the Pythagorean theorem. Then:
\(\sqrt[]{660^2+370^2}=\sqrt[]{435600+136900}=\sqrt[]{572500}=756.64\text{ ft}\)Then, the angle of the displacement can be approximate finding the angle θ. So, using a protractor on the figure, we get that θ is approximately 30 degrees.
Now, we can find the direction using a trigonometric function as:
\(\tan \theta=\frac{370}{660}\)Because 370 is the opposite side and 660 is the adjacent side. Therefore, the value of θ is:
\(\begin{gathered} \tan \theta=0.5606 \\ \theta=\tan ^{-1}(0.5606) \\ \theta=29.27\text{ degrees} \end{gathered}\)So, the answers are:
a) 756.64 ft
b) 30 degrees
c) 29.27 degrees.
PLEASE PLEASEEE HELP ME. I HAVE NO IDEA?? LOTS OF POINTS UP FOR GRABS :)
Explain how the properties of α, β and γ radiation affect the level of the hazard at different distances.
What happens to gravitational potential energy as a rollercoaster moves down a hill? Question 4 options: It is converted to elastic potential energy It increases It is converted to kinetic energy It remains constant.
The gravitational potential energy as a rollercoaster converts to kinetic energy when it moves downhill.
What is kinetic energy?
The kinetic energy of an object or body is due to its motion. When the roller coaster moves downhill it accelerates, thus the gravitational potential energy as a rollercoaster converts to kinetic energy.
The gravitational potential energy of an object or body is due to its position above the ground.
Therefore, the gravitational potential energy as a rollercoaster converts to kinetic energy when it moves downhill.
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What is the period of a satellite in a circular orbit just above the surface of the Moon? The Moon’s mass is 7.36 × 1022 kilograms and its radius is 1.738 × 106 meters.
Answer:
F / m = a = G M / R^2 formula for gravitational attraction
a = ω^2 R formula for centripetal force for an object with radius R
G M / R^2 = ω^2 R equating accelerations
ω = (G M / R^3)^1/2
ω = 2 pi f = 2 pi / P for circular motion
P = 2 pi (R^3 / (G M))^1/2
R^3 / (G M) = (1.738E6)^3 / (6.67E-11 * 7.36E22) = 1.07E6
P = 6.28 * 1034 sec = 6500 sec = 1.80 hrs
if an energy transfer takes place due to a temperature difference, the energy crossing the boundary of the system is in the form of . multiple choice question. pressure heat work mass momentum
If a temperature differential causes an energy transfer, heat is the form in which the energy travels across the system's border. Hence, the appropriate choice is (b).
When there is a temperature difference between two systems, heat energy can flow from the hotter system to the colder system. Heat is a form of energy that is transferred due to the difference in temperature between two systems. This energy transfer is caused by the random motion of the particles in the system. When there is a temperature difference between two systems, the particles in the hotter system have a higher kinetic energy than the particles in the colder system. This leads to the transfer of heat energy from the hotter system to the colder system, until both systems reach thermal equilibrium, i.e., they reach the same temperature and the net heat flow stops.
Therefore, when there is an energy transfer due to a temperature difference, the energy crossing the boundary of the system is in the form of heat.
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Question - If an energy transfer takes place due to a temperature difference, the energy crossing the boundary of the system is in the form of. Multiple choice question, choose one:-
(a) pressure
(b) heat
(c) work
(d) mass
(e) momentum
Why is the primary reason that surface of venus so much hotter than earth?
The primary reason that surface of the venus is so much hotter than the earth is that the venus is much nearer to the sun and receives a greater amount of solar radiation as compared to the earth.
What is a solar system?It is a system that collection of all the planets and spatial bodies revolving around the sun because of the gravitational pull of the sun.
Our Solar System is based on a heliocentric model in which the Sun is assumed to reside at the central point of the planetary system.
Since Venus is much closer to the sun than the earth and thus receives more solar radiation, this is the main cause of why the surface of Venus is so much hotter than the earth.
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A soccer ball player is running with a ball. compared to the force of the ball on the foot, the force of foot on the ball is
a- the same
b- greater
c-less
d- none of the above
As the cross-sectional area of a conductor increases, its resistance .
Answer:
Yess it’s resistance
Explanation:
Answer:
DECRAAAASESSSS
Explanation:
A ship sets out to sail to a point 123 km due north. An unexpected storm blows the ship to a point 112 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination
Answer:
Explanation:
We shall represent the point of destination and point of new starting point in vector form .
i and j will represent east and north .
point of destination = 123 j
starting point = 112 i
distance between the two
D = 123 j - 112 i
magnitude of D = √ ( 123² + 112² )
= 166.35 km
Direction of D
Tanθ = - 123 / 112
= - 1.09
θ = 132.54 degree from east in positive angle .
Which force controls the size of an atomic nucleus?
1electromagnetic force
2weak nuclear force
3strong nuclear force
4gravitational force
Answer:
Strong nuclear force
Explanation: