A horse 1 m tall running towards a tree at a constant velocity of 20m/s,
there was a baboon on the tree which is 3m tall, if the baboon falls exactly on
the back of the horse and sped away with baboon at its back.
Calculate
I) how far was the horse from the tree and the time the baboon
falls on the horse.
Answers
The horse's position on the ground at time t is
x = (20 m/s) t
The baboon's height from the ground at time t is
y = 3 m - 1/2 g t²
where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.
The baboon falls and lands on the horse, so that the two animals meet when the baboon's height is 2 m from the ground, which happens after
2 m = 3 m - 1/2 g t²
1/2 g t² = 1 m
t² = (2 m) / (9.80 m/s²)
t ≈ 0.452 s
In this time, the horse reaches the tree, so its distance from it is
(20 m/s) * (0.452 s) ≈ 9.04 m
Related Questions
A uniform magnetic field is directed at an angle of 30o with the plane of a circular coil of radius 4cm and 1000 turns. The magnetic field changes at a rate of 5 T per second. Calculate the following:
a. Area vector
b. Induced emf
Answers
Answer:
(a) The area vector is 0.00503 m² at 30⁰ from the magnetic field
(b) The induced emf is 12.58 V
Explanation:
Given;
angle between the magnetic field and the plane of the circular coil, = 30⁰
number of turns of the coil, N = 1000
radius of the coil, r = 4 cm = 0.04 m
change in the magnetic field with time, dB/dt = 5 T/s
(a) The area vector is calculated as;
A = πr²
A = π x (0.04)²
A = 0.00503 m²
The area vector is 0.00503 m² at 30⁰ from the magnetic field.
(b) The induced emf is calculated as;
\(emf = N\frac{\Delta \phi}{\Delta t} \\\\where;\\\\\phi = BAcos \theta\\\\emf = N\times \frac{dB}{dt} \times Acos (\theta)\\\\where;\\\\\theta \ is \ the \ angle \ between \ a \ perpendicular \ vector \ to \ the \ area\\ and\ the \ magnetic\ field\\\\\theta = 90 - 30 = 60^0\\\\emf = N\times \frac{dB}{dt} \times Acos (\theta)\\\\emf = (1000) \times (5 )\times (0.00503) \times cos (60)\\\\emf = 12.58 \ V\)
how in a simple machine direction changer
Answers
In a simple machine the direction changes by using the pulley. By applying the force on the pulley, by pushing down and the object moves up.
The simple machine allows to change the direction is a pulley. The pulley machine acts as a direction changer and is also used to change the direction of the force. When the wheel rotates, the cord can move in either direction.
The pulley has a wheel and hook. By attaching the hook to the cord, the wheel rotates making the object move up or down much easier when the force is applied to the pulley. These machines use pivot points to balance.
Hence, the simple machine called a pulley, is used to change the direction of force and makes the object moves up.
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A bird flies 5km at a speed of 30 km/h. For how long
did the bird travel?
Answers
Answer:
6 hours because 6×5=30 so 6 hours is the right answer
Magnets are usually made up of which material
A. plastic
B. iron ore
C. copper
D. gold
Answers
Answer:
B. iron ore
Explanation:
Hope this helps
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The force exerted by the wind on the sails of a sailboat is Fsail = 330 N north. The water exerts a force of Fkeel = 210 N east. If the boat (including its crew) has a mass of 260 kg, what are the magnitude and direction of its acceleration? magnitude m/s2 direction ° north of east
Answers
Answer:
The magnitude of the acceleration is \(a_r = 1.50 \ m/s^2\)
The direction is \(\theta = 32.5 6^o\) north of east
Explanation:
From the question we are told that
The force exerted by the wind is \(F_{sail} = (330 ) \ N \ north\)
The force exerted by water is \(F_{keel} = (210 ) \ N \ east\)
The mass of the boat(+ crew) is \(m_b = 260 \ kg\)
Now Force is mathematically represented as
\(F = ma\)
Now the acceleration towards the north is mathematically represented as
\(a_n = \frac{F_{sail}}{m_b}\)
substituting values
\(a_n = \frac{330 }{260}\)
\(a_n = 1.269 \ m/s^2\)
Now the acceleration towards the east is mathematically represented as
\(a_e = \frac{F_{keel}}{m_b }\)
substituting values
\(a_e = \frac{210}{260}\)
\(a_e =0.808 \ m/s^2\)
The resultant acceleration is
\(a_r = \sqrt{a_e^2 + a_n^2}\)
substituting values
\(a_r = \sqrt{(0.808)^2 + (1.269)^2}\)
\(a_r = 1.50 \ m/s^2\)
The direction with reference from the north is evaluated as
Apply SOHCAHTOA
\(tan \theta = \frac{a_e}{a_n}\)
\(\theta = tan ^{-1} [\frac{a_e}{a_n } ]\)
substituting values
\(\theta = tan ^{-1} [\frac{0.808}{1.269 } ]\)
\(\theta = tan ^{-1} [0.636 ]\)
\(\theta = 32.5 6^o\)
A body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest. Calculate their common velocity of the two bodies coalesce after collision
Answers
When a body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest, their common velocity after the collision is 1.68 m/s.
When two objects of different masses collide, they can exchange momentum. An object's mass and velocity together make up its momentum. When two objects collide, their momentum is conserved, meaning that the total momentum of the two objects before the collision equals the total momentum of the two objects after the collision. This principle can be used to calculate the velocity of the two objects after a collision.A body of mass 12 kg is travelling at a velocity of 4.2 m/s and collides with a second body of mass 18 kg at rest. The total mass of the system is 12 kg + 18 kg = 30 kg. To determine the velocity of the two objects after the collision, we need to use the conservation of momentum principle. Before the impact, the system's entire momentum is:momentum before = \((mass_1 x velocity_1) + (mass_2 x velocity_2)\)where mass1 is the mass of the first object, velocity1 is the velocity of the first object, \(mass_2\) is the mass of the second object, and \(velocity_2\) is the velocity of the second object. In this case,\(mass_1 = 12 kg, velocity_1 = 4.2 m/s, mass_2 = 18 kg\), and \(velocity_2 = 0\) (because the second object is at rest). Substituting these values into the equation above, we get: momentum before = (12 kg x 4.2 m/s) + (18 kg x 0)momentum before = 50.4 kg m/sFollowing the collision, the system's overall momentum is:momentum after =\((mass_1 + mass_2) * velocity\)where mass1 + mass2 is the total mass of the system, and velocity is the velocity of the two objects after the collision. Let's call this velocity "v". Substituting the values we know into the equation above, we get: momentum after = (12 kg + 18 kg) x vmomentum after = 30 kg x vUsing the conservation of momentum principle, we know that momentum before = momentum after. Therefore, we can set these two equations equal to each other and solve for v.50.4 kg m/s = 30 kg x vv = 50.4 kg m/s ÷ 30 kgv = 1.68 m/sFollowing the impact, the two bodies' common velocity is 1.68 m/s. Hence, the answer to this problem is that when a body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest, their common velocity after the collision is 1.68 m/s.For more questions on collision
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Brainliest if correct Question 10 of 10
You sit with friends around a campfire, roasting marshmallows. Which
transfer of thermal energy involved in this system is an example of radiation?
A. Thermal energy moves from the outside of the marshmallow to
the inside of the marshmallow
B. Thermal energy moves through the air from the flames to the
marshmallow
C. Thermal energy moves within the air above the flames as warmer
air rises
D. Thermal energy moves from the marshmallow to your fingers as
you touch the marshmallow.
Answers
Answer:
C. Thermal energy moves within the air above the flames as warmer
air rises
Explanation:
Cody's car accelerates from 0m/s to 45 m/s northward in 15 seconds. What is
the acceleration of the car?
Answers
According to the given statement the acceleration of the car is 3ms².
What does "acceleration" mean ?Depending on whether an object is moving much faster, slower, or in a different direction, its speed may change. Examples of acceleration include a falling apple, the moon orbiting the earth and a car which has stopped at a stop sign.
Which four forms of acceleration are there?Uniform acceleration, non-uniform acceleration, and average acceleration are the three different forms of accelerated motions.
Briefing:Let acceleration be 'a'
v = u + at
a = v - u/t
a = 45 - 0 /15
a = 45/15
a = 3 ms²
So, acceleration will be 3 m/s² .
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Deshaun Watson launches a football at a speed of 24.7 ms and an angle of 33° above the horizontal How far down
the football field does the football land? What is the max height the football reaches during flight?
Show work
Answers
Answer:
9.23m
Explanation:
Max height = u²sin²theta/2g
u is the speed = 34.7m/s
theta is the angle of elevation = 33°
g is the acceleration due to gravity = 9.8m/s²
Substitute into the formula
Max height = 24.7²sin²33/2(9.8)
Max height = 610.09sin²33/2(9.8)
Max height = 610.09(0.29663)/19.6
Max height = 180.97/19.6
Max Height = 9.23m
Hence the max height the football reaches during flight is 9.23m
For the simple harmonic oscillation where k = 19.6
N/m, A = 0.100 m, x = -(0.100 m) cos 8.08t, and v =
(0.808 m/s) sin 8.08t, determine (a) the total energy, (b)
the kinetic and potential energies as a function of time,
(c) the velocity when the mass is 0.050 m from
equilibrium, (d) the kinetic and potential energies at
half amplitude (x = A/2).
Answers
a. Total energy is 0.098 J
b. Potential and Kinetic Energies is 0.032 sin^2(8.08t) J
c. Velocity at x is -0.808 sin(8.08t) m/s
d. Potential and Kinetic Energies at x is 0.016 sin^2(8.08t) J
Step by step explanationWe can use the following formulas for the energy, velocity, and potential and kinetic energies of a simple harmonic oscillator:
Total Energy: E = 1/2 k A^2Velocity: v = -ωA sin(ωt)Potential Energy: U = 1/2 k x^2Kinetic Energy: K = 1/2 m v^2where ω = √(k/m) is the angular frequency.
Given that k = 19.6 N/m, A = 0.100 m, x = -(0.100 m) cos 8.08t, and v = (0.808 m/s) sin 8.08t, we can find the values of E, U, and K as follows:
(a) Total Energy:
E = 1/2 k A^2 = 1/2 * 19.6 * 0.1^2 = 0.098 J
(b) Potential and Kinetic Energies:
U = 1/2 k x^2 = 1/2 * 19.6 * (-0.1 cos(8.08t))^2 = 0.098 cos^2(8.08t) J
K = 1/2 m v^2 = 1/2 * (0.1) * (0.808 sin(8.08t))^2 = 0.032 sin^2(8.08t) J
(c) Velocity at x = 0.050 m:
When x = 0.050 m, cos(8.08t) = -0.5, so we have:
v = -ωA sin(ωt) = -ω(0.1) sin(8.08t) = -0.808 sin(8.08t) m/s
(d) Potential and Kinetic Energies at x = A/2:
When x = A/2 = 0.050 m, cos(8.08t) = -0.5, so we have:
U = 1/2 k x^2 = 1/2 * 19.6 * (0.050)^2 = 0.0245 J
K = 1/2 m v^2 = 1/2 * (0.1) * (0.808 sin(8.08t))^2 = 0.016 sin^2(8.08t) J
Note that the sum of potential and kinetic energies at any point in time is equal to the total energy, which is constant.
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to what temperature it will a 30 KG of glass raise if it absorbs 4275 joules of heat in its specific heat is 0.5 J/KG degree celsius. The initial temperature of the glass is 35°C
Answers
Answer:
230° C
Explanation:
A substance's specific heat tells you how much heat much either be added or removed from 1 g of that substance in order to cause a 1∘C
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The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
Answers
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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Match the following:
Answers
Answer:
iron metal :chromiummachinery part :nickel or chromiumornamentation and decoration pieces :silver and goldprocessed food :tin coated iron canbridges and automobiles :zinc metaldistilled water:bad conductorWhat is the earths layers?
Answers
An airplane whose airspeed is 190 km/h heads due north. If there is a wind blowing at 86 km/h from west to east, how many degrees east of north does the airplane travel relative to the ground?
a. 66°
b. 63°
c. 27°
d. 24°
please help me
Answers
With the knowledge of bearing, the airplane will be 24 degrees east of north relative to the ground. The correct answer is option d
What is Relative Motion ?Relative motion can be defined as a change of position of an object with a point or frame of reference which we may assumed to be at rest.
Given that an airplane whose airspeed is 190 km/h heads due north. If there is a wind blowing at 86 km/h from west to east, the magnitude of degrees Ф east of north in which the airplane will travel relative to the ground can be known by using a trigonometry ratio.
The Y component is 190 km/h heads due north.
The X component is 86 km/h from west to east.
TanФ = Y/X
Ф = \(Tan^{-1} (\frac{Y}{X})\)
Ф = \(Tan^{-1} (\frac{190}{86})\)
Ф = \(Tan^{-1} (2.209)\)
Ф = 65.65°
The degrees east of north = 90 - 65.65
The degree east of north = 24.4°
Therefore, the magnitude of degrees east of north in which the airplane will travel relative to the ground is 24° approximately.
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..............................
Answers
The following images show five planets in our solar system. rank these planets from left to right based on their average surface (or cloud-top) temperature, from highest to lowest. (not to scale.)
Answers
The order of the average surface temperature of the given planets as Mercury, Earth, Mars, Jupiter, and Neptune based on their distance from the sun.
What is the solar system?The Solar System can be described as the gravitationally bound system of the Sun and the plants are the objects that orbit it. The solar system is formed 4.6 billion years ago from the gravitational collapse of a giant interstellar cloud.
Most of the mass of the solar system is contained in the Sun and the remaining mass is in the planet Jupiter. The four inner planets Mercury, Venus, Earth, and Mars are terrestrial planets, made primarily of rock and metal.
The two largest planets Jupiter and Saturn, are gas giants, made mainly of hydrogen and helium. The next two, Uranus and Neptune, are ice giants, made of volatile substances with hydrogen and helium, such as ammonia, water, and methane.
The average surface temperature of Mercury is 333°F (167°C), Earth 59°F (15°C), Mars -85°F (-65°C), Jupiter -166°F (-110°C), and Neptune -330°F (-200°C)
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Trawler A is 40km west of Another Trawler B. Trawler A sets off at 20km On a Force of 60°. If Trawler B Can travel at 25km. What course should Trawler B Pass to Intercept Trawler A.
Answers
Answer:
Trawler B should set off on a course of 120°.
Trawler A is traveling at 20km/h on a bearing of 60°. This means that Trawler A is traveling north-east. Trawler B is traveling at 25km/h. In order to intercept Trawler A, Trawler B must travel on a bearing of 120°. This means that Trawler B must travel south-east.
The two trawlers will eventually meet at a point that is 40km east of Trawler A's starting position and 20km north of Trawler B's starting position.
In a bizarre but harmless accident, a watermelon fell from the top of the Eiffel Tower. How fast was the watermelon traveling when it hit the ground 6.40 seconds after falling?
Answers
Answer:
v = 62.7 m/s
Explanation:
Assuming no air resistance, the only force acting on the watermelon while it was falling, was the one due to the gravity.This means that the object fell down with a constant acceleration which magnitude is equal to 9.8 m/s2.Applying the definition of acceleration, and assuming that the watermelon was dropped, so initial velocity is just zero, we can find the speed when it hit the ground as follows:\(v_{f} = a*t = -g*t = -9.8 m/s2*6.4 m/s = -62.7 m/s (1)\)
The watermelon was traveling at a speed of 62.7 m/s when it hit the ground.A 3.5 kilogram cannon is loaded with a 0.52-kilogram ball. The cannon and ball are initially rolling forward with a speed of 1.27 m/s. The cannon is fired and launches the ball forward with a total speed of 75 m/s. Determine the post-explosion velocity of the cannon.
Answers
The cannon's forward post-explosion velocity is 6.18 m/s.
What are the fundamentals of momentum?Momentum is the force necessary to bring an item to a complete halt in a unit of time and is determined by multiplying an object's mass by its velocity. The overall momentum is equal to the sum of the individual momenta for any array of multiple objects.
Total momentum before = Total momentum after
(3.5 kg + 0.52 kg) × 1.27 m/s = 3.5 kg × v_cannon + 0.52 kg × 75 m/s
where v_cannon is the velocity of the cannon after the explosion.
Simplifying and solving for v_cannon, we get:
v_cannon = (0.52 kg × 75 m/s - (3.5 kg + 0.52 kg) × 1.27 m/s) / 3.5 kg
v_cannon = 6.18 m/s.
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a car accelerates from 2 m/s to 28m/s at a constant rate of 3 m/s^2. How far does it travel while accelerating?
Answers
Answer:
Distance, S = 130m
Explanation:
Given the following data;
Initial velocity = 2m/s
Final velocity = 28m/s
Acceleration = 3m/s²
To find the distance, we would use the third equation of motion.
V² = U² + 2aS
Substituting into the equation, we have;
28² = 2² + 2*3*S
784 = 4 + 6S
6S = 784 - 4
6S = 780
S = 780/6
Distance, S = 130m
Which feature of a balanced chemical equation demonstrates the law of
conservation of mass?
O A. It has the same types of atoms on both sides of the reaction
arrow.
O B. It shows the reactants of a chemical reaction to the left of the
reaction arrow.
O C. It has coefficients to show how much of each substance a
chemical reaction uses.
Thing
D. It shows the products of a chemical reaction to the right of the
reaction arrow.
Answers
Answer: A) It has the same types of atoms on both sides of the reaction
arrow.
Explanation: A balanced equation demonstrates the conservation of mass by having the same number of each type of atom on both sides of the arrow.
if a 12 V battery is connected to the circuit shown, and R1 and R2 are EACH 2 ohm resistors; what must be the resistance of R4 be if R3 is 4 ohms and the total current is 2 amp?
Answers
Answer:
Explanation:
First find the total resistance of the combination circuit:
R = V/I = 12 V / 2 A = 6 Ω
6Ω = R1 + R2 + 1/(1/R3 + 1/R4)
6Ω = 2Ω + 2Ω + 1/(1/4 + 1/R4)
2Ω = 1/(1/4Ω + 1/R4)
2Ω(1/4Ω + 1/R4) = 1
(1/4 + 1/R4) = 1/2
1/R4 = 1/4
R4 = 4Ω
Note: R1 and R2 are in series, so you just add them together. But R3 and R4 are in parallel, so Req = 1/R3 + 1/R4
which of the following statements describes a perfectly inelastic collision
Answers
Answer: An ice hockey player picks up a trophy as he slides past it.
Two pool balls colliding precisely inelastically and rebounding off one another is an example. So, the correct option is A.
What is an Inelastic collision?Inelastic collisions are those in which the total kinetic energy is lower after the impact than it was before. The stick is travelling quickly in the direction of the ball before to the contact. The stick comes to a stop following the accident. It transfers some of its kinetic energy to the cue ball, which rolls forward.
The type of collision mentioned in the given example is known as an inelastic collision is one in which the system's momentum is preserved but its kinetic energy is not. In a ballistic pendulum, an example of an inelastic collision. Dropped ball of clay is another illustration of an inelastic collision.
Thus, the correct option is A.
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Your question is incomplete, most probably the complete question is:
Which of the following statements describes a perfectly inelastic collision?
A. Two billiard balls bounce off of each other,
B. A car crashes into a tree and rebounds in the other direction,
C. A wad of chewing gum is thrown and sticks to a moving truck,
D. Two ice skaters hit each other and fall over in opposite directions,
what is the type of energy possessed by moving water?
Answers
Answer:
hydro energy.
Explanation:
The energy possessed by fast-moving water is called hydro energy
Do you believe in ghost
Answers
Answer:
well its about our thinking but i do believe in ghost a little
what are ionic charges
Answers
Answer:
Ionic charges refer to the electrical charges of ions, which are atoms or molecules that have gained or lost electrons. These charges result from the loss or gain of electrons during chemical reactions.
When an atom loses one or more electrons, it becomes a positively charged ion known as a cation. The cation carries a positive charge equal to the number of electrons lost.
Conversely, when an atom gains one or more electrons, it becomes a negatively charged ion known as an anion. The anion carries a negative charge equal to the number of electrons gained.
The magnitude of the ionic charge depends on the number of electrons gained or lost, which is determined by the element's position in the periodic table and its electron configuration. For example, sodium (Na) loses one electron to become a +1 charged cation (Na+), while chlorine (Cl) gains one electron to become a -1 charged anion (Cl-).
The following prefixes are ranked from smallest to largest: centi-, milli-, micro-, deci-, and kilo-. Is this true or false?
Answers
The following prefixes are ranked from smallest to largest: centi-, milli-, micro-, deci-, and kilo. It is a false statement. Micro is the smallest unit that is equivalent to 0.000001 m.
A. Organized process to test a hypothesis
B. An educated guess about the solution to a problem
C. Observations & measurements recorded
D. A summary based on the results of an experiment
E. The response that is measured in an experiment
F. The factor that is manipulated during an experiment
Answers
The scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable.
What is an observation in science?Observation is the first step of the scientific method, which then requires to raise a question that will be answered by a testable hypothesis.
The scientific method is a series of well-established steps used to collect scientific empirical data/evidence, which allow to test a given hypothesis.
In conclusion, the scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable..
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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
Answers
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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