The final velocity is equal to the product of the square root of two, and the initial velocity and the angle at which the object with mass 5 is scattered, are measured with respect to its velocity prior to the collision [tex]35^o[/tex].
What is Speed?Speed is a unit used to describe how quickly an object is moving. The fact that speed is a scalar denotes that it is a measurement with a magnitude but no direction.
Something that travels at a fast rate of speed and covers a lot of distance quickly. A slow-moving object, on the other hand, travels a relatively little distance in the same length of time when moving at a low pace. An item with zero speed is completely immobile.
(a) Let the initial velocity is [tex]V_1[/tex] and the final velocity is [tex]V_2[/tex], then by applying conservation of momentum, we get the formula of
[tex]V_2 = \sqrt{2} V_1[/tex]
Therefore, the final velocity is equal to the product of the square root of two, and the initial velocity.
(b) Let the θ is the angle of scattering, then,
tanθ = [tex]V_1 / \sqrt{2} V_1[/tex]
θ = [tex]tan^-1/\sqrt{2}[/tex]
θ = [tex]35^o[/tex]
Therefore, the angle at which the object with mass 5 is scattered, measured with respect to its velocity prior to the collision is [tex]35^o[/tex].
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How is velocity different from speed?
Velocity is based on distance.
Velocity includes direction.
Velocity can be an average or instantaneous.
Answer:
Velocity is based on distance.
Explanation:
Speed-is the time which an object is moving.
Velocity-is the direction of an object's movement.
Answer:
Velocity includes direction.
Explanation:
speed is only the rate which an object moves while velocity is the rate and directions which an object moves.
A 30.0 kg object is falling in air and experiences a force due to air resistance of 50.0 N. What is the net force acting on the object?
A) -244 N
B) -110 N
C) 94 N
The net force acting on the object will be 244 in downward direction
Forces acting on a freely falling body will be
1) Force due to gravity ( in downward direction ) or gravitational force
2) Force due to air resistance ( in upward direction )
Net force = Force due to gravity - Force due to air resistance
= - mg + Force due to air resistance
= - 30 * 9.8 + 50
= - 294 + 50 = -244 N
correct answer is
A) -244 N
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Using E = mc2, we found that 1 kg of mass has
the energy equivalent of 20 megatons. Estimate
how many megatons of energy would be required
to accelerate a spaceship with a mass of one million kg to a speed of 0.99c. What does this suggest
to you regarding the practicality of space travel at
relativistic speeds?
The energy in megatons would have required to accelerate a spaceship with a mass of one million will be equal to 5.48 × 10²³ × 2.39 × 10⁻¹⁰ tons.
What is relativistic speed?The speed at which relativistic effects are significant to the intended accuracy of the phenomenon being viewed is known as relativistic speed. Relativistic effects are the differences between data determined by models that take relativity into consideration and those that do not. Velocity, rapidity, and celerity—which are the right speed related synonyms.
From the given information in the question,
E = (γ-1)mc² and,
γ = 1/√(1-(v²/c²))
For non-relativistic speed, v<<c or v/c<<1 then this factor is equal to 1.
m = 1 million kg or 10⁶ kg.
v =0.99 c.
[tex]E=[(\frac{1}{\sqrt{1-(0.99c)^2/c^2)} } )-1](10^6)(3*10^6\ m/s^2)^2[/tex]
E = 54.81 × 10²² J = 5.48 × 10²³ J
Let's calculate in terms of tons,
1 J = 2.39 × 10⁻¹⁰ tons
Therefore,
5.48 10²³ J = 5.48 × 10²³ × 2.39 × 10⁻¹⁰ tons.
This is a tremendous quantity of energy and is completely unattainable. As a result, we might conclude that moving at such relativistic speeds is extremely challenging.
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A 10 kg block should be pushed up a steep plan, with a slope of 37 °, at constant speed. What should be the size of the force needed in this case, if the friction coefficient is 0.5? b) What should be the size of the force needed to push the block with a=2 m-s¹?
a) The magnitude of force needed is 29.49 N.
b) The magnitude of force needed to push the block with a=2 m-s⁻² is 49.49 N.
What is friction?Friction is a form of relative force that works as resistance between two bodies that are in touch with one another. In other words, there is a force that opposes the relative motion of two bodies when they are in contact.
Given parameters:
Mass of the block; m = 10 kg.
Slope of the plan; θ = 37°.
Coefficient of friction, μ = 0.5.
Taking acceleration of gravity; g = 9.8 m/s².
a)Hence, magnitude of force needed = friction force = μ× normal force
= μmgsin37°
= 0.5 × 10 × 9.8 × sin 37°
= 29.49 N.
b) The magnitude of force needed to push the block with a=2 m-s⁻² is = friction force + ma
= 29.49 N +10×2 N
= 49.49 N.
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In the Atwood machine shown in the figure, if M = 0.60 kg
and m = 0.40 kg. Ignore friction and the mass of the pulley.
(a) Draw free-body diagrams for mass M and mass m. (b)
Calculate the magnitude of the acceleration of the system.
(c) Calculate the tension in the string.
The magnitude of the acceleration of the system is equal to 1.96 m/s². The tension in the string is equal to 4.70 N.
What is Newton's second law of motion?
Newton's 2nd law of motion described the force acting on an object as equal to mass (m) times the acceleration (a) of that object.
The mathematical relation can be shown as follows:
F = ma
Given, the mass, m = 0.40 Kg and the mass M = 0.60 Kg
From newton's second law: Mg - T = Ma ...........(1)
Similarly, T - mg =ma ...............(2)
By adding both equations, we get:
(M - m)g = (M + a)a
(0.60 - 0.40) (9.8) = (0.60 + 0.40) a
a = 1.96 m/s²
The tension in the string can be determined as:
Mg - T = Ma
(0.60) (9.8) - T = (0.60) × 1.96
T = 4.70 N
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One day in science class Tara notices a lava
lamp in the back corner. The teacher plugs it in and after some time they notices the
"lava"moving up and down. Using your
knowledge of density explain why the "lava"
behaved in this manner.
Answer:
the lava is and burning like liquid that is from a volcano when it erupt lava
An experiment that produces waves on a string is analyzed, and the experimental value for the wave speed is found to be 66 m/s. If the accepted value for the wave speed is 63 m/s, what is the percent error?
The percent error of an experiment given the experimental and accepted values for the wave speed is 4.762%.
How to calculate percent error?Percent error is the absolute value of the error, divided by the accepted value, and multiplied by 100% as follows;
% Error = {experimental value − accepted value}/accepted value × 100%.
According to this question, an experiment that produces waves on a string is analyzed, and the experimental value for the wave speed is found to be 66 m/s. If the accepted value for the wave speed is 63 m/s, the percent error is calculated as follows:
Percent error = {66 - 63}/63 × 100
Percent error = 3/63 × 100
Percent error = 4.762%
Therefore, 4.762% is the percent error of the experiment.
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a 1,400-kilogram car is also traveling in a straight line at 10 m/swhat is its momentum
The velocity of the car is v = 28.6 m/s.
Solution:
v = p/m
v = 40,000 kg x m/s
1,400 kg
v = 28.6 m/s
Average velocity is a measure of total displacement divided by total time. The total displacement is the distance between the start and endpoints. Since the car moves from point A at both the start and end points the total displacement is zero and the average velocity is also zero.
Velocity is the distance traveled per unit of time, the speed of movement. The speed of a car traveling on a smooth, flat section of a highway without traffic congestion is constant and not zero. Acceleration is the rate of change of velocity. The reason is simple. Velocity is the percentage of time an object moves along a path and Velocity is the speed and direction of an object's movement.
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Four model rockets are launched in a field. The mass of each rocket and the net force acting on it when it launches are given in the table below. (1. 4.25kg 120N) (2. 3.25kg 120N) (3. 5.50kg 120N) (4. 4.50kg 120N), Which rocket has the lowest acceleration?
The correct answer is option 3 i.e., 5.50 Kg and 120 N had lowest acceleration among all options given.
What connection exists between force and mass of acceleration?
Mass times acceleration, or F=m x a, equals force. This means that in order to move an object at the same speed as an object with smaller mass, a stronger force is required. Newton's Second Law of Motion is this.
Acceleration = Force / Mass
Given, as per question in all the 4 options Force = 120 N same for all
So as per formula if we assume Force is constant
Then, if mass is increased then acceleration will be lowest as both are inversely proportional.
1. Acceleration= 120 / 4.25 = 28.23 m/s²
2. Acceleration= 120 / 3.25 = 34.28 m/s²
3. Acceleration= 120 / 5.50 = 21.81 m/s²
4. Acceleration= 120 / 4.50 = 26.66 m/s²
Hence answer is option number 3.
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find the resultant of an easterly force of 100 N and a southerly force of 80 N acting at 65 degrees to the 100-N force
The resultant force will be 52N.
Resultant force: If two or more forces are acting at a certain point, their resultant force would be defined as the force that when applied at that same point, it will have the exact same effect like the two independent forces acting together.
Fx = F cos Ф
Fx = 100 × cos 65 degree (Cos 65 degree = 0.52)
Fx = 100 × 0.52
Fx = 52 N
Therefore, the resultant force will be 52 N.
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How does magnetic force affect the energy in a system of magnets when the magnets are released and begin to move?.
The magnetic pressure modifications capacity power into kinetic power. Dylan places magnetic toy trains subsequent to each other on a track.
When magnets have appealing forces among them and they're moved apart, kinetic power is transferred into the magnets whilst they're released and they pass lower back together. converting the space between magnets changes the amount of strength that can be transferred into and out of a magnetic area.
A charged shifting particle is a particle in movement with either a positive or terrible price. Magnetic pressure has a good-sized impact on charged debris. A robust magnetic pressure can alter the route of a transferring charged particle. A big object with a magnetic force encourages particles to revolve around it.
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The magnetic force changes potential energy into kinetic energy.
Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current. Electricity generators essentially convert kinetic energy into electrical energy.
All magnets have north and south poles. Contrary poles are interested in every different, while the same poles repel every different. While you rub a chunk of iron alongside a magnet, the north-seeking poles of the atoms inside the iron line up inside the same direction. The force generated via the aligned atoms creates a magnetic subject.
When magnets are brought close collectively they exert a pressure on each different, like poles repel every different. Unlike poles attract each different. Appeal and repulsion between two magnetic poles are examples of non-touch force.
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Andrea is investigating the effects of light intensity and carbon dioxide concentration on the rate of photosynthesis. She measured the rate of photosynthesis at different light intensities for two identical plants. The plants were placed in closed containers. One container had an initial carbon dioxide concentration of 0.40%. Th e other container had an initial carbon dioxide concentration of 0.03%. She plotted her results as shown below. Look at the graph. A. Does an increase in carbon dioxide concentration affect the rate of photosynthesis?
In the light-independent reaction, carbon is absorbed into carbohydrates, increasing the rate of photosynthesis until it is constrained by another cause. Photosynthesis rate and light intensity are directly correlated.
what the importance of photosynthesisPhotosynthesis' main job is to transform solar energy into chemical energy, which is then stored for later use. This mechanism is primarily what powers the planet's living systems. Compared to human engineering standards, it is not particularly effective, but it gets the job done.
How might photosynthesis be made more prevalent?The process through which sugars are used to create chemical energy from light is known as photosynthesis. Oxygen is produced as a byproduct as water and carbon dioxide are converted into glucose (or other sugars) in a process that is fueled by light energy.
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4. What force must be exerted on a 1500-kg car to make it move with
an acceleration
of 3.8 m/s²
The force must be exerted on a 1500-kg car to make it move with
an acceleration of 3.8 m/s² is 5700 N.
According to Newton's Second Law Of Motion,
The Force is directly proportional to the Change in Momentum,
Thus, F ∝ dp/dt
Now, Momentum p = mv
F = m*dv/dt
F = ma
Thus, Force is the product of mass and acceleration,
Mass of the car = 1500 kg
Acceleration of the car = 3.8 m/[tex]s^{2}[/tex]
So, The force required will be = m*a = 1500 * 3.8 = 5700 N
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The ratio of blue paint to yellow paint is 5:6 in order of blue paint are used how many ounces of yellow painy are needed to creat green?
There are 36 ounces of yellow paint.
Both blue and yellow paint reflect intermediate wavelengths. Therefore, if you mix blue and yellow paint the mixture will appear green. I have found that blues and greens produce predominantly cyan or turquoise tones but mixing colors is never the right thing to do with darker or lighter grays.
Mixing blue and green makes him a tertiary color on the color wheel, teal. Blue-green is similar to turquoise or the color of the sea. This is one of the most common and popular tertiary colors. For a light aqua color mix cobalt blue with white. The primary colors are red blue and yellow. Primary colors cannot be mixed with other colors. They are the source of all other colors.
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As part of astronaut training, a prospective astronaut is spun around in a human centrifuge such that the candidate experiences a centripetal acceleration that is 2.5 times the acceleration due to gravity on the surface of the earth. If the candidate is 7.27 m from the center, determine the candidate's speed in meters per second.
Due to the relationship between linear and angular speed, the candidate's speed is 13.3 m/s
Circular MotionA satellite orbiting the earth is one of the example of a circular motion. The satellite will experience gravitational attraction towards the center of the earth. This attraction force provides the centripetal force
Given that a prospective astronaut is spun around in a human centrifuge such that the candidate experiences a centripetal acceleration that is 2.5 times the acceleration due to gravity on the surface of the earth. If the candidate is 7.27 m from the center, the parameters to work on are
Centripetal acceleration a = 2.5g = 2.5 × 9.8 = 24.5 m/s²Orbital radius r = 7.27 mSpeed v = ?To determine the candidate's speed in meters per second, let us first find its angular speed w in rad/s by using the formula
a = w²r
24.5 = 7.27w²
w² = 24.5 / 7.27
w² = 3.37
w = √3.37
w = 1.84 rad/s
The relationship between linear and angular speed is
v = wr
v = 1.84 × 7.27
v = 13.3 m/s
Therefore, the candidate's speed in meters per second is 13.3 m/s
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What is photon and it's uses
Answer:don’t
Explanation:
What is velocity gradient?
Answer:
Explanation:
What Is Velocity Gradient? According to the definition of velocity gradient, the difference in velocity between the layers of the fluid is known as the velocity gradient. It is represented by v/x, where v stands for velocity and x stands for the distance between the adjacent layers of the fluid.
Suppose you have a barometer with mercury and a barometer with water. How does the height hwater compare with the height hmercury?.
The heaviest liquid is mercury. In order to equalize the air pressure, it only climbs 76 cm. Water will rise to a 13.6 because it is 13.6 times lighter than mercury. By a factor of 13.6, mercury is 13.6 times denser than water.
Therefore, the barometer's height would be 13.6 times higher if water were employed in place of mercury. Since water expands when it freezes, the glass tube would be broken.
Because of its high density, mercury is frequently employed in barometers, allowing for a column height that is appropriate for measuring atmospheric pressure. For example, a mercury barometer would need to be 13.6 times taller than a water barometer to measure the same change in pressure.
This is the primary justification for using mercury in thermometers. Mercury will provide accurate readings in comparison to water since it lacks the condensation property that water possesses. Mercury can be used to measure both negative and positive temperatures, whereas water cannot be used to measure either.
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The 7.4 N weight is in equilibrium under
the influence of the three forces acting on it.
The F force acts from above on the left at
an angle of a with the horizontal. The 5.9 N
force acts from above on the right at an angle
of 44° with the horizontal. The force 7.4 N
acts straight down.
Ĵ
44°
5.9 N
7.4 N
What is the magnitude of the force F?
Answer in units of N.
part 2 of 2
What is the angle a of the force F as shown
in the figure?
a) Magnitude of force is 5.37N
b) Angle of force is - 37.88°
What is force?In physics, we define a force is an influence that can change the motion of object. A force can cause an object with mass to change to accelerate.
Given force from above is 5.9N
∑Fₓ = F₁ₓ + F₂ₓ+F₃ₓ = 0
F₂ cos 44° + Fₓ = 0
Fₓ = - 5.9 cos44°
= - 4.24 N
Given force that acts downward as 7.4N
∑Fy= Fy1+ Fy2 +Fy3 =0
Fy+ 5.9 sin 44° - 7.4= 0
F = 3.30 N
F =√Fₓ² +Fy²
= 5.37 N
b) angle of force= tan⁻¹ (3.30/-4.24)
= - 37.88°
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What is the magnitude of the net displacement of a point on the rim of the blade during the deceleration?.
The correct answer is net displacement of a point on the rim of the blade during the deceleration is 10.0 in or 0.254 m 10.0 i n o r 0.254 magnitude .
Magnitude in physics is simply described as "distance or quantity." It shows the size or direction that an object moves in either an absolute or relative sense. It is a way of expressing something's size or scope. Magnitude in physics often describes a length or a size. A scalar is used to indicate a force's magnitude, which is the amount to which the body it is acting on will be accelerated by the force (a single number). The force's strength can also be considered in terms of its magnitude. An attribute of a mathematical object that indicates whether it is bigger or smaller than other things of the same kind is its magnitude or size.
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HURRY!!!!! final exam..
Question 3 of 20:
Select the best answer for the question.
3. Which of the following real-world examples models linear motion?
O A. Running 50 m along a straight track
O B. Throwing a rock in the air at a 45-degree angle
O C. Throwing a rock in the air at a 60-degree angle
O D. Running around the curve of a track
O Mark for review (Will be highlighted on the review page)
Answer:
A.Running 50 m along a straight track
Explanation: Running 50 m along a straight track is a real-world example of linear motion.Linear motion means moving along a (straight) line, a direct and straight line from point A to point B.All the other proposed answers (A,B,C) involve a curve. The two rock examples will curve due to gravity and running around a curve on a track isn't a straight line.I hope that helps you understanding the principle of linear motion.
Answer:
A. Running 50m along a straight trackExplanation:
Linear motion is the motion that is natural to an object: moving in a straight line. An object not affected by any force will continue indefinitely in a straight line.A proton and an electron are moving with the same velocity v perpendicular to a uniform
magnetic field B. Answer the following (explaining the answer):
a) What kind of trajectory each particle follows? (Draw it)
b) Is the value of an electric field E the same for both particles if we want it to make the particles move following a straight-line trajectory? Why?
c) What’s the kinetic energy change before and after applying the electric field?
Data: Proton mass is, approximately, 1836 times electron’s mass.
When E depends on the strength of the magnetic field and velocity, the strength of the electric field must also be the same to maintain a straight-line motion without deviating from it.
What is kinetic energy?The energy that an object has because it is moving is determined by the initial energy in physics. It is defined as the amount of effort required to accelerate an object of known weight from resting to its specified velocity. The body keeps its kinetic energy after gaining it during acceleration, barring speed changes. When slowing from its current pace to a point of rest, the body expends the same amount of energy.
(a)
The magnetic field is on the page and the image is attached.
(b)
The magnetic force must be balanced with force due to the electric Field.
Eq = qvB sinθ
Eq = qvB sin 90
E =vB
(c)
The kinetic energy of the particle with velocity v and mass m,
KE = 1/2 mv²
The proton's kinetic energy is 1836 times more than that of the electron since it is more heavy than it is.
The shift in kinetic energy will then be equal to zero if there is no increase in velocity between before and after the electric field is applied.
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If there are no external torques acting on either system, in which case is the final kinetic energy of the system biggest?.
K.E. of rotation will remain constant if moment of the body is maintained constant.
what is kinetic energy?
A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force.
Main body:
This is as per the principle of conservation of angular momentum, i.e.
when T = 0, L= Iω = constant.
K.E. of rotation = 1/2 Iω²
E = I²ω²/2I = L²/2I
where L is constant, therefore, E∝1/I
i.e., K.E. of the system is not constant.
Therefore, moment of inertia of the system increase and K.E. will decrease and vice-versa.
Therefore, K.E. of rotation will remain constant if moment of the body is maintained constant.
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analyze will pushing on a car always change the cars mechanical energy ?
Pushing on a car will not change cars mechanical energy because it does not create mechanical energy.
Mechanical energy is the energy of either an item in motion or the energy that is saved in object via their position. Mechanical strength is also a driving force of renewable strength.
There are types of mechanical energy: Potential energy and Kinetic energy. Combined, the sum of the 2 is called the overall mechanical power. Mechanical power is countless in nature.
Advantages of Mechanical energy are that this energy source does not not run out and can also be transformed into different types of power. Disadvantages of mechanical energy is that the machines that permit you to have the benefits of mechanical energy can create protection issues and also grow to be worn out and costly to fix.
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A guitar string of length 30 cm and stretched under a tension of 78 n has a certain fundamental frequency. How long would a pipe, open at both ends, need to be to play the same fundamental frequency? a 15-cm long piece of the guitar string has a mass of 0. 4 g. The speed of sound in air is 340 m/s.
0.6 m long would a pipe, open at both ends, need to be to play the same fundamental frequency .
Frequency, in physics, the number of waves passing through a fixed point in a unit of time. Also, the number of cycles or oscillations per unit time experienced by an object in periodic motion. An object in periodic motion is said to undergo a cycle or oscillation after returning to its original state through a series of events or positions. See also angular velocity. A simple harmonious movement.
The period or time interval required to complete a cycle or oscillation is 1/2 second, then the frequency is 2/second. If the period is 1/100 hour, the frequency is 100 per hour. In general, frequency is the reciprocal of duration or time interval. That is, frequency = 1/duration = 1/(time interval). The frequency of the moon's orbit around the earth is just over 12 cycles per year. His A string on the violin has a frequency of 440 vibrations or cycles per second.
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A golf ball leaves the club with a horizontal velocity of 10 m/s and a
vertical velocity of 15 m/s. Calculate the resultant velocity of the golf ball.
The resultant velocity of the golf ball is 18.03 m/s
What is Resultant velocity?
An object's total vector velocity is the sum of its component vector velocities. The scalar product of an object's mass and acceleration vector equals the sum of the vector forces acting on it. If indeed the two objects stick together again after impact, divide the total momentum even by sum of the masses. You will then be given the two objects' resultant velocity as a result. In the aforementioned example, 50 would be divided by the total mass of the masses, which really is 10, yielding a speed of 5 metres per second.
Horizontal velocity= 10 m/s
Vertical velocity= 15 m/s
Resultant velocity= [tex]\sqrt{100+225}[/tex] = [tex]\sqrt{325}[/tex] = 18.03 m/s
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O If the coefficient of kinetic friction between a crate and the floor is 0.20 how much force is needed to slide a 92 kg crate uniformly across the floor?
The crate (92 kg) will be slide on the rough floor with kinetic friction about 0,2.
Minimum force is required to allow the crate moves, which is calculated as follows :
Kinetic friction is formed because there are two or more things are sliding together. In this case, crate and floor are rubbing each other. Kinetic friction can cause the speed of things decreased.
Crate need a bigger force than the friction one to make it move.
So, we can calculate the value of a kinetic friction first.
f = μ x N
f = friction (Newton)
μ = coefficient of kinetic friction
N = Normal force (Newton)
f = μ × N
f = 0,2 × m × g
f = 0,2 × 92 × 10
f = 2 × 92 = 184 N
So, Crate need more than 184 N or bigger than a kinetic friction to allows it move.
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which has the greater acceleration: a car that increases its speed from 50 km/h to 60 km/h, or a bike that goes from 0 km/h to 10 km/h in the same time? Explain.
Answer:
They have the same acceleration.
Explanation:
50km/h to 60km/h = 10km/h
0km/h to 10 km/h = 10km/h
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
they have a same acceleration
Explanation:
50km/h to 60 km/h=10km/h
0km/h to 60 km/h=10km/h
which of the following does not describe energy within an ecosystem
The statement which does not describe energy within an ecosystem is that Energy is always fully contained and is denoted as option A.
What is Ecosystem?
This is referred to as all the organisms and the physical environment with which they interact. Energy on the other hand is referred to as the ability to do work and examples include potential energy, kinetic energy, mechanical energy etc.
Energy can neither be created nor destroyed but can be converted from one form or type to another. it also have various types which are mentioned in the previous paragraph.
It is not always fully contained as a result of other factors which influences its presence because some are lost to heat energy while some percentage is used for the metabolism in organisms.
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The options are:
Energy is always fully contained.Energy cannot be created or destroyed.Energy can transform into different types.When energy transfers or transforms, some energy is always lost.A golfer can hit a golf ball a horizontal distance of over 300 m on a good drive What maximum height will a 301.5 m drive each if it is launched at an angle of 25.0" to the ground? (Hint: At the top of its flight, the ball's vertical velocity com ponent will be zero.)
35.15 m maximum height will a 301.5 m drive each if it is launched at an angle of 25.0" to the ground.
What exactly is meant by velocity?The accurate measurement of an object's position and speed is its velocity. It is the distance that an item travels in one unit of time. The displacement of the item in one unit of time is the concept of velocity.
Briefing:Using the formula for the horizontal range, we will first determine the ball's projectile motion's launch velocity:
R = u²sin 2θ/g
where,
R = horizontal range = 301.5 m
u = launch speed = ?
θ = launch angle = 25°
Gravity's acceleration, or g, is 9.81 m/s2²
Therefore,
301.5 m = u²sin 50 /9.81 m/s²
u = √(301.5 m)(9.81m/s²) / sin 50
u = 62.14 m/s
Now, using the following formula, we will determine the projectile motion's maximum height (H):
H = u²sin²θ
H = (62.14m/s²) sin²(25⁰) / 2(9.81 m/s²)
H = 35.15 m
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