A baseball is thrown at an angle of 25 degrees relative to the ground at a speed of 23 m/s. If the ball was caught 42 m from the thrower:
What is the initial vertical velocity?
What is the initial horizontal velocity?
How long was it in the air?
How high did the ball travel before being caught?
Answer:
a) [tex] v_{0y} = 9.72 m/s [/tex]
b) [tex] v_{0x} = 20.85 m/s [/tex]
c) [tex] t = 2.01 s [/tex]
d) [tex] h_{max} = 4.82 m [/tex]
Explanation:
a) The initial vertical velocity is given by:
[tex] v_{0y} = v*sin(\theta) [/tex]
Where:
θ: 25°
v: is the magnitude of the speed = 23 m/s
[tex] v_{0y} = 23 m/s*sin(25) = 9.72 m/s [/tex]
b) The initial horizontal velocity can be calculated as follows:
[tex] v_{0x} = v*cos(\theta) = 23 m/s*cos(25) = 20.85 m/s [/tex]
c) The flight time can be calculated using the following equation:
[tex] v_{0x} = \frac{x}{t} [/tex]
Where:
x: is the total distance = 42 m
[tex] t = \frac{x}{v_{0x}} = \frac{42 m}{20.85 m/s} = 2.01 s [/tex]
d) The maximum height is given by:
[tex] v_{fy}^{2} = v_{0y}^{2} - 2gh_{max} [/tex]
Where:
[tex] v_{fy}[/tex]: is the final vertical velocity =0 (at the maximum heigth)
g: is the gravity = 9.81 m/s²
[tex]h_{max} = \frac{v_{0y}^{2}}{2g} = \frac{(9.72 m/s)^{2}}{2*9.81 m/s^{2}} = 4.82 m[/tex]
I hope it helps you!
An artery with cross sectional area of 1 cm2 branches into 20 smaller arteries each with 0.5 cm2 cross sectional area. If the velocity of blood in the thicker artery is v, what is the velocity of the blood in the thinner arteries
Answer:
The velocity of the blood in the thinner arteries is 0.1 times that of the thicker artery.
Explanation:
To find the velocity of the blood we need to use the continuity equation:
[tex] n_{1}A_{1}v_{1} = n_{2}A_{2}v_{2} [/tex] (1)
Where:
n: is the number of branches
A: is the cross-sectional area
v: is the velocity
For artery 1, we have:
n₁ = 1, A₁ = 1 cm², v₁ = v
For the 20 arteries (2), we have:
n₂ = 20, A₂ = 0.5 cm², v₂ =?
By using equation (1):
[tex] n_{1}A_{1}v_{1} = n_{2}A_{2}v_{2} [/tex]
[tex] 1 cm^{2}*v = 20*0.5 cm^{2}*v_{2} [/tex]
[tex] v_{2} = \frac{1 cm^{2}*v}{20*0.5 cm^{2}} = \frac{v}{10} = 0.1v [/tex]
Therefore, the velocity of the blood in the thinner arteries is 0.1 times that of the thicker artery.
I hope it helps you!
How long would it take a 500. W electric motor to do 15010 J of work?
The first group of planets that are made of rock and closest to the sun
Answer:
A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun
Which action would decrease the strength of attraction between a magnet and an iron object
A. Moving the magnet farther away from the iron object
B. Moving the iron object closer to the magnet
C. Decreasing the number of electrons on the magnet
D. Increasing the number of electrons on the magnet
Answer:
a. moving the magnet farther away and an iron object.
Explanation:
Answer:A
Explanation:
A p e x
Help !! I hate science
Answer:
iron nail rusting
Explanation:
Which sequence shows electromagnetic waves arranged in a decreasing order of their wavelengths?
Answer: Gamma rays, x-rays, ultraviolet rays, visible light, and infrared rays.
Answer:
C) radio → infrared → ultraviolet → gamma
Explanation:
It Increases left to right therefore it decreases right to left
It will be easier to lift a load in wheel barrow if the load is moved
towards the wheel.why
Answer:
the moment
Explanation:
the shorter the distance from the force, the lesser the torque acting on it
Can someone please help me with this problem. I’ve tried but I can’t seem to figure it out.
Calculate the ideal mechanical advantage of a pair of scissors where the length of the blade is 5 cm and the length of the handle is 2.5 cm.
Answer:
m = 0.5
Explanation:
Given that,
The length of the blade of scissors = 5 cm
The length of the handle = 2.5 cm
Here, effort arm is 2.5 cm and load arm is 5 cm. The mechanical advantage is the ratio of effort arm to the load arm as follows :
[tex]m=\dfrac{2.5}{5}\\\\m=0.5[/tex]
So, the ideal mechanical advantage of a pair of scissors is 0.5.
HELP ASAP!!!!!!!!!
Mark and Steven were conducting an investigation where they were measuring the energy of a glass marble as it rolled down a ramp. According to their calculations, the total energy of the marble decreased. Which statement below is the best explanation for the decrease in total energy?
A) It decreased because it was destroyed by the interaction with the ramp
B) The total energy always decreases in an energy conversion
C) They were incorrect; the energy totals should have been the same
D) The energy decreased because heat resulted from friction between the marble and the ramp
pls answer this
quick as possible
Answer:
The answer is the 4th one
Explanation:
Good luck man
What is a young lady in a binkini I pictures help me understand the must :)
Uhhh.. creep. Can you like..not?
Answer: Lol what the heck I never heard this type of question. but I mean you see it when you go to the beach so yeah that's all I'm telling you U-U
With this stroke, your hand will be turned about a quarter circle counter-clockwise on the handle of your racquet. Which is the right answer?
A. Half volley
B. Volley
C. Backhand stroke
D.forehand stroke
Answer:
C. backhand stroke
Explanation:
Your hand will be rotated counterclockwise about a fourth of the racquet handle during this stroke. The correct response is to backhand stroke. Option C is correct.
What is a backhand stroke?When playing tennis, a backhand is a stroke in which the player's torso is crossed and the ball is struck with the palm towards the opponent's chest and the back of the hand traveling toward them.
A backhand in tennis can be made with one or both hands.
With this stroke, your hand will be turned about a quarter circle counter-clockwise on the handle of your racquet. Backhand stroke is the right answer.
Hence. option C is correct.
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Which form of energy has the most potential globally
a) Solar energy
b) Bio energy
c) Wind energy
d) Geothermal energy
Answer:
i think the answer is solar,
Explanation:
because it is a natural resource im sorry if im wrong
Two masses are to collide directly with each other. One has a mass of 5 kg and a velocity of 2 m/s. The other has a mass of 3 kg and a velocity of 1 m/2. The collision is perfectly inelastic. Find the velocity of the masses after the collision.
Answer:
v₃ = 1.625 [m/s]
Explanation:
To solve this problem we must use the definition of linear momentum conservation, which tells us that momentum is conserved before and after a collision.
Since the collision is inelastic, the two bodies are joined after the collision.
P = m*v [kg*m/s]
m = mass [kg]
v = velocity [m/s]
where:
P = lineal momentum [kg*m/s]
Now, it is important to clarify that in the following equation we will take the left side of the equation as the momentum before the collision and the right side of the equal sign as the momentum after the collision.
Pbefore = Pafter
(m₁*v₁) + (m₂*v₂) = (m₁+m₂)*v₃
where:
m₁ = mass one = 5 [kg]
v₁ = velocity of the mass one = 2 [m/s]
m₂ = mass two = 3 [kg]
v₂ = velocity of the mass two = 1 [m/s]
v₃ = velocity of the combined masses after the collision [m/s]
Now replacing we have:
(5*2) + (3*1) = (5 + 3)*v₃
10 + 3 = 8*v₃
v₃ = 13/8
v₃ = 1.625 [m/s]
A box with weight of magnitude F_G = 2.00 N is lowered by a rope down a smooth plane that is inclined at an angle φ = 30.0 degrees about ve the horizontal. The normal force acting on the box has a magnitude n = 1.73 N, the tension force is 1.00 N, and the displacement Δr of the box is 1.80 m down the cloned plane.
What is the work W_G done on the box by the gravity?
Answer:
1.8 J
Explanation:
I had this exact question today and found someone who had solved it before, this was their response to the work done by gravity. They used the name "physicsmom"
Vertical distance = 1.8 sin 30 = .9 m
W = 2 N * .9 m = 1.8J
Good luck! I hope this helps!
The work done on the box by the gravity is 0.072 J.
The given parameters;
weight of the box, [tex]F_g[/tex] = 2 Ninclination of the rope, φ = 30⁰normal force acting on the box, n = 1.73 Ntension on the rope, T = 1 Ndisplacement of the box, Δr = 1.8 mThe work done on the box by gravity is calculated as follows;
W = FΔr
where;
F is the net horizontal force on the block
The net horizontal force on the box is calculated as follows;
[tex]\Sigma F_x = F_g sin(\theta ) - F_k\\\\ \Sigma F_x = F_g sin(\theta ) - \mu_k F_n \\\\ \Sigma F_x = 2 \times sin(30 ) - (tan \theta) \times F_n\\\\ \Sigma F_x = 1 - (tan\ 30) \times 1.73\\\\ \Sigma F_x = 0.04 \ N[/tex]
The work done on the box by gravity is calculated as;
W = 0.04 x 1.8
W = 0.072 J.
Thus, the work done on the box by the gravity is 0.072 J.
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things that affects the demand for electricity
a golf ball with a velocity 40 at an angle 45 degree speed of bthe ball after 2 sec
Answer:
Vertical velocity = 8.28 m/s
Horizontal velocity = 28.3 m/s
__________________________________________________________
We are Given:
Initial velocity of the ball = 40 m/s
Angle of elevation of the ball = 45°
Time interval = 2 seconds
__________________________________________________________
Vertical and Horizontal Components:
Vertical Component:
The vertical component of the ball can also be written as:
40*Sin(45°)
40*(1/√2) [since Sin(45°) = 1/√2]
40/√2 m/s
Horizontal Component:
The horizontal component of the ball can also be written as:
40*Cos(45°)
40*(1/√2) [Since Cos(45°) = 1/√2]
40/√2 m/s
__________________________________________________________
Speed of the Ball after 2 seconds:
Horizontal Velocity:
Since the horizontal velocity is not affected by any force during the flight, the horizontal velocity after 2 seconds will also be 40/√2 m/s
Since √2 = 1.41:
Horizontal velocity = 28.3 m/s
Vertical Velocity:
v = u + at [First equation of motion]
v = 40/√2 + (-10)(2)
[g is negative because it is acting against the direction of motion]
v = 40/√2 - 20
v = [tex]\frac{40-20\sqrt{2} }{\sqrt{2} }[/tex] [taking the LCM]
v = 8.28 m/s [√2 = 1.41]
At 96° F the saturation density of air is 0.04 kg/m3. If the weather report says the relative humidity is 90 % when the temperature is 96°F, the humidity is
Answer:
The value is [tex]H = 0.036 \ kg/m^3[/tex]
Explanation:
From the question we are told that
The saturation density of air is [tex]\rho = 0.04 \ kg/m^3[/tex]
The temperature for this saturation density to occur [tex]T_s = 96^o F[/tex]
The relative humidity at this temperature is [tex]R_h = 90\% = 0.90[/tex]
Generally the relative humidity is mathematically represented as
[tex]R_H = \frac{H}{\rho}[/tex]
Here H represents humidity
=> [tex]0.90 = \frac{H}{0.04}[/tex]
=> [tex]H = 0.90 * 0.04[/tex]
=> [tex]H = 0.036 \ kg/m^3[/tex]
A trip is taken that passes through the following points in order
Point A 0 m
Point B 15.0 m
Point C -30.0 m
Point D -20.0 m
Point E 10.0 m
Point F 5.0 m
What is the distance from Point C to Point F?
Answer:
35, I got you bro, i got you
A water molecule is made up of one oxygen and two hydrogen atoms. Why is water considered a pure substance?
Answer:
A mixture is when two or more substances combine physically together.
However, in water, two hydrogen atoms combine with one oxygen atom chemically, forming a new substance that has properties different from hydrogen alone or oxygen alone.
Explanation:
An old-fashioned tire swing exerts a force on the branch and a torque about the point where the branch meets the trunk. If you hang the swing closer to the trunk, this will ____ the force and ____ the torque.
Answer:
not change, decrease
Explanation:
Torque refers to the measure of the force that enables an object to rotate about an axis.
An old-fashioned tire swing exerts a force on the branch and a torque about the point where the branch meets the trunk. If you hang the swing closer to the trunk, this will not change the force and decrease the torque.
A tire swing when old can have aa small force. An old-fashioned tire swing exerts a force on the branch and a torque about the point where the branch meets the trunk. If you hang the swing closer to the trunk, this will not change, the force and decrease the torque.
It is stated that when the net force and the net torque are zero, the block is in static equilibrium.IT also state that when the net force is zero, but the net torque is not zero, the object is will not be in static equilibrium
For one too be able to change angular momentum, a torque must act on it over some timeframe.
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How many bonds can antimony form?
Answer:
An antimony can form 3 bonds
Let me know if this helps
Thanks!
:)
Explanation:
how can voltage be produced by magnetism and motion?
Answer:
Electromagnetic Induction by a Moving Magnet
Then the action of moving a coil or loop of wire through a magnetic field induces a voltage in the coil with the magnitude of this induced voltage being proportional to the speed or velocity of the movement.
Explanation:
PLEASE HELP QUICKLY THANKS
Answer: the answer is d
Explanation:
Full moon is located______
a. farthest from the Sun
b. at a 90 degree angle with the Sun and Earth
c. closest to the Sun
Answer:
Im going to take an educated guess and say its B.
Explanation:
A Full moon is located farthest from the Sun. Thus, the correct option for this question is A.
What is a Full moon?A full moon may be defined as one of the types of lunar phases when the Moon significantly appears fully illuminated from Earth's perspective. This event typically occurred when Earth is located between the Sun and the Moon.
When the earth is located between the sum and the moon, it is the time when the moon is located farthest from the sun. And it directs to an event of a full moon. The average time duration of the full moon and the repetition of the same phase normally requires 29.53 days.
Therefore, the Full moon is located farthest from the Sun. Thus, the correct option for this question is A.
To learn more about the Full moon, refer to the link:
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A biker first accelerates from 0.0 m/s to 6.0 m/s in 6 s, then continues at this speed for 5 s. What is the total distance traveled by the biker?
100 m
80 m
30 m
48 m
PLZ heeeeelp
Answer:
48m
Explanation:
Given the following data;
Initial velocity = 0m/s
Final velocity = 6m/s
Time, t = 6 secs
Time, T2 = 5 secs
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
Substituting into the equation;
[tex]a = \frac{6 - 0}{6}[/tex]
[tex]a = \frac{6}{6}[/tex]
Acceleration, a = 1m/s²
To find the distance covered in the first phase;
Solving for distance, we would use the second equation of motion;
[tex] S = ut + \frac {1}{2}at^{2}[/tex]
Substituting the values into the equation;
[tex] S = 0(6) + \frac {1}{2}*1*(6)^{2}[/tex]
[tex] S = 0 + \frac {1}{2}*1*36[/tex]
[tex] S = 0.5 *36[/tex]
Distance, S1 = 18m
For the second phase, time T2 = 5 secs;
Mathematically, speed is given by the equation;
[tex]Speed = \frac{distance}{time}[/tex]
Making distance the subject of formula, we have;
[tex]Distance, S = speed * time[/tex]
Substituting into the above equation;
[tex]Distance, S = 6 * 5[/tex]
Distance, S2 = 30m
Total distance = S1 + S2 = 18m + 30m = 48m
Total distance = 48m
Therefore, the total distance traveled by the biker is 48m.
What is the momentum of 100 kg running at 4m/s north?
Which chemicals are major contributors to ozone layer destruction? Select two answer choices.
Answer:
what are the answers to select? or do you just say them
Explanation:
???
Answer:
c and d
Explanation:
