Answer:
g = 9.8 [m/s²]
Explanation:
To solve this problem we must remember that the potential energy is defined as the product of mass by gravitational acceleration by the height or elevation with respect to a reference level.
Ep = m*g*h
where:
Ep = potential energy = 235.2 [J]
m = mass of the book = 6 [kg]
g = gravity acceleration [m/s²]
h = elevation = 4 [m]
Now replacing these values:
235.2 = 6*g*4
g = 235.2/(24)
g = 9.8 [m/s²]
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!
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.
A 60-kg woman runs up a staircase 15 m high (vertically) in 20 s.
Required:
a. How much power does she expend?
b. What is her horsepowerrating.
Answer:
(a) 441 W (b) 0.59 hP
Explanation:
Given that,
Mass of a woman, m = 60 kg
Height of a staircase, h = 15 m
Time, t = 20 s
(a) We need to find the power she expend. Work done per unit time is called power. It is given by :
[tex]P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{60\times 9.8\times 15}{20}\\\\P=441\ W[/tex]
( b) Since, 1 hP = 745.7 W
P = 0.59 hP
How long would it take a 500. W electric motor to do 15010 J of work?
.Why does it take double the applied force to move a mass double the size?
Explain this in terms of inertia,
Answer:
NVIDIA GeForce RTX 3080 10GB GDDR6X PCI Express 4.0 Graphics Card
Explanation:
What is the differential equation governing the growth of current in the circuit as a function of time after t
Complete question is;
What is the differential equation governing the growth of current in the circuit as a function of time after t = 0? express the right - hand side of the differential equation for di(t)/dt in terms of i(t), v_b, r, and l?
Answer:
v_b = ir + L(di/dt)
Explanation:
I've attached the image of the circuit talked about in this question.
From the attached image, we can see that this circuit is an R-L circuit.
Since we want a differential equation for di(t)/dt that contains i(t), v_b, r, and L, we can start by finding v_b in R-L circuit which is;
v_b = v_r + v_i
where;
v_b is the voltage source.
v_r is the voltage across the resistance
v_i is the voltage across the inductance
Now, the voltage across the inductance could also be expressed as;
v_i = L(di/dt)
where;
L is the circuit inductance
Also, the voltage across the resistance could be as expressed as;
v_r = ir
Where;
r is the resistance
i is the current
Thus;
v_b = ir + L(di/dt)
How does temperature effect density and the flow of convection currents?
Answer:
Convection
Explanation:
Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.
Why was religion important in Sumer? Help me
Answer:
christian
Explanation:
please help asap !! number 1
Answer:
Explanation:
Given parameters:
Distance covered = 16m
Time = 6s
Initial velocity = 0m/s
Unknown:
Magnitude of the acceleration of the runner = ?
Solution:
To solve this problem, we have to apply the right motion equation which is given below;
S = ut + [tex]\frac{1}{2}[/tex] at²
S is the distance
u is the initial velocity
t is the time taken
a is the acceleration
Now, insert the parameters and solve for acceleration;
16 = (0 x 6) + [tex]\frac{1}{2}[/tex] x a x 6²
16 = 18a
a = [tex]\frac{16}{18}[/tex] = 0.89m/s²
1000 kg car takes travels on a circular track having radius 100 m with speed 10 m/s. What is the minimum coefficient of static friction between tires and track needed to keep the car on circular path. *
A- 0.01
B- 0.05
C- 0.1
D- 0.2
Answer:
C. 0.1
Explanation:
How do covalentes bonds form
Two hockey players are about to collide on the ice. One player has a mass of
66 kg and is traveling at 1.5 m/s north. The other has a mass of 75 kg and is
traveling at 1.2 m/s south. The system consists of the two tlockey players.
According to the law of conservation of momentum, what is the total
momentum of the system after they collide? Assume the collision is an
elastic collision.
A. 189 kg-m/s south
O B. 9 kg-m/s north
C. 189 kg.m/s north
D. 9 kg m/s south
Answer:
Option B: 9 kg.m/s North
Explanation:
We are told;
One player has a mass of
66 kg and is traveling at 1.5 m/s north.
Thus, velocity is positive since it's acting in the positive direction upwards.
Thus;
m1 = 66 kg
v1 = 1.5 m/s
Also, The other has a mass of 75 kg and is traveling at 1.2 m/s south.
Since it's traveling south, it means that velocity is negative. Thus;
m2 = 75 kg
v2 = -1.2 m/s
From conservation of mass, total momentum is;
m_total = m1•v1 + m2•v2
m_total = (66 × 1.5) + (75 × -1.2)
m_total = 99 - 90
m_total = 9 kg.m/s
This is positive and thus it will be in the direction of the north.
Answer:
9 kg-m/s north
Explanation:
Regular exercise can:
A.
Reduce stress and anxiety
B.
Boost your immune system
C.
Increase your overall feeling of wellness
D.
All of the above
Answer:
D
Explanation:
Ken Griffey, Jr's warehouse shot in the 1933 home run derby travelled 93 feet per second for 5 seconds. How far did he hit the ball?
Answer:
465 feet because 93*5 = 465, btw that was 1993 not 1933
Explanation:
if an object is moving with a velocity of 25m/s, an acceleration of 5m/s and has a travel time of 5s, what is the final velocity of the object?
V = at + V0
where v0 is the initial speed, a is the acceleration and t is the time.
So:
v = 5m/s^2*5s + 25m/s = 50 m/s
Sean and Tommy are debating the positive and negative impacts of technology on environmental quality. Tommy is listing the negative impacts. Which of the following would help his argument? (2 points)
Grupp av svarsalternativ
Solar panels have become more effective due to technological improvements.
Technology has helped make recycling to be more efficient.
It has created new ways to clean up oil spills.
Factories contribute to air and water pollution.
Answer:
Factories contribute to air and water pollution.
Explanation:
A 1200-kg car initially at rest undergoes constant acceleration for 8.8 s, reaching a speed of 10 m/ s. It then collides with a stationary car that has a perfectly elastic spring bumper. What is the final kinetic energy of the two-car system
Answer:
The final kinetic energy of the two-car system is 60,000 J.
Explanation:
Given;
mass of the car, m = 1200 kg
time of motion, t = 8.8 s
final velocity of the car, v = 10 m/s
Apply the principle of conservation of kinetic energy; the initial kinetic energy is equal final kinetic energy.
[tex]K.E_i = K.E_f\\\\K.E_f = \frac{1}{2}mv^2\\\\K.E_f = \frac{1}{2}(1200)(10)^2\\\\K.E_f = 60,000 \ J[/tex]
Therefore, the final kinetic energy of the two-car system is 60,000 J.
pLEasE aNSWer CorRReCtly
Answer:
season, axis
Explanation:
The earth's axis is responsible for the changing seasons
A spring is hanging from the ceiling. When a 250 gram of mass is attached to the free end, the spring elongates by 5 cm. The spring constant (in N/m) is:
Answer:
k = 49 N/m
Explanation:
Given that,
Mass, m = 250 g = 0.25 kg
When the mass is attached to the end of the spring, it elongates 5 cm or 0.05 m. We need to find the spring constant. Let it is k.
The force due to mass is balanced by its weight as follows :
mg=kx
[tex]k=\dfrac{mg}{x}\\\\k=\dfrac{0.25\times 9.8}{0.05}\\\\k=49\ N/m[/tex]
So, the spring constant of the spring is 49 N/m.
a 2000 kg car moving down the road runs into a 5000 kg stationary suv. The car applies a force of 1400 n on the suv what is the magnitude of force applied by the suv on the car
Answer:
F_suv= 49050 N
Explanation:
We are told that a 2000 kg car moving down the road runs into a 5000 kg stationary suv. The car applies a force of 1400 N on the suv.
Now, according Newton's first law of motion, an object will continue in it's present state of rest except it is acted upon by an external body.
This means the force acting on the stationary Suv is force of gravity.
Thus; F_suv = 5000 × 9.81
F_suv= 49050 N
If a star appears to wobble back back and forth, or its light seems to change in brightness, what might be the cause?
Answer:
The first method, known as the wobble method, looks for changes in a star's relative velocity caused by the gravitational tug of a nearby planet. ... If a planet's orbit crosses between its parent star and Earth, it will block some of the light and cause the star to dim.
Explanation:
We all know that the chains of gravity shackle a planet to its star. That star's enormous gravitational influence keeps its planetary family in orbit. But gravity works both ways: as the planets sweep around in their orbits, they tug on their parent stars to and fro, causing those stars to wobble
Answer:
The way it’s orbiting
Explanation:
The picture below shows a science model made with a balloon, cord, and radiosonde.
Image showing a science model made with a balloon; at the bottom of the balloon is a cord with a radiosonde attached to it.
Which of these is most likely the function of the science model?
To change the density of air
To increase the humidity in air
To reduce the atmospheric pressure
To predict extreme weather conditions
Answer:
Since the person above didn't answer correctly I will, the correct option is (D) this is because the picture shown is of a weather balloon and the purpose of this device is to predict weather and its conditions
Hope this helped! (: Have a nice day
Answer: To predict extreme weather conditions
A radiosonde is a small tool that is put under a balloon filled with either hydrogen or helium. As the radiosonde goes up it measures pressure, temperature, and relative humidity.
A carbon ion with 10 electrons and 6 protons would have a charge of ?
Answer:
-4
Explanation:
Electrons are negative while protons are positive.
To find the charge, add the number of protons to the number of electrons.
6+(-10)
6-10
-4 is the charge
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 of the following is a function of the geosphere?
a.
facilitating the movement of water through spheres through transpiration
b.
providing a moderate, livable climate
c.
facilitating the process of photosynthesis
d.
serving as the interface between the other spheres
The function of the geosphere is to serve as the interface between the other spheres, so option D is correct.
What is geosphere?Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole.
Different mass and/or energy flows can be exchanged between the various geosphere collectives (the measurable amount of change). The balance of the various geosphere spheres is impacted by the exchange of these fluxes. As an illustration, consider how the soil functions as both a source of flux exchange and as a component of the biosphere.
Since the start of space travel, it has been noted that the ionosphere's or plasmasphere's size is highly changeable, frequently greater than previously thought, and occasionally even reaches the magnetosphere's outer limits.
The term "geopause" (or "magnetopause") refers to this wildly fluctuating outer limit of geogenic matter and conveys the relative dearth of such matter beyond it, where the solar wind predominates.
Therefore, serving as the interface between the other spheres is a function of the geosphere.
To know more about Geosphere:
https://brainly.com/question/4210222
#SPJ2
Serving as the interface between the other spheres. Therefore option D is correct.
The geosphere refers to the solid Earth, including the rocks, minerals, and landforms that make up the planet's surface. It plays a crucial role in the Earth's system and interacts with other spheres, such as the atmosphere, hydrosphere, and biosphere.
Serving as the interface between the other spheres: This is the correct function of the geosphere. It acts as the solid Earth, providing a foundation and interacting with the other spheres.
For example, the geosphere influences the movement of water (hydrosphere) through processes like infiltration and groundwater flow. It also influences atmospheric processes through land-sea interactions, affecting wind patterns and climate in certain regions.
Know more about the geosphere:
https://brainly.com/question/32978574
#SPJ7
True or False. A compound is formed when two or more elements are combined to make a
new substance with its own properties.
Anyone?
Answer:
I believe It's true. Since from memory I KNOW a compound is formed when elements are combined chemically.
Answer: correct
Explanation: a compound is 2 or more elements formed to make a completely new thing. For example, water is a compound. Why? Well, water is h20. What is h20? It’s Hydrogen and Oxygen. Oxygen is also a compound. Another example is CO2 (carbon dioxide) it’s made of carbon and oxygen, so it’s a compound! A element is just a pure substance. It’s not made up of other materials. It’s in its purest form.
a kid is flying a kite 58 meters above the level ground. a small lead sphere is dropped from the kite. calculate the amount of time required for the sphere to fall to the ground
This is the formula you need to memorize:
D = 1/2 · a · T²
Distance = (1/2) · (acceleration) · (Time²)
This formula tells the distance an object falls in any amount of time.
This question tells you the distance (58m), and you know the acceleration (gravity, 9.8 m/s²), so you can use this formula to find the time.
Distance = (1/2) · (acceleration) · (Time²)
58m = (1/2) · (9.8 m/s²) · (Time²)
Divide each side by (4.9 m/s²) : Time² = (58/4.9) seconds²
Take the square root of each side: Time = 3.44 seconds
After school, a student rides his bike back home. The student lives 750 meters from the school. If it takes the student 3 minutes to get home, what is his average speed?
Answer:
(4,5) and (8,10) what is the slope
Explanation:
After school, a student rides his bike back home. The student lives 750 meters from the school. If it takes the student 3 minutes to get home, what is his average speed?
A coiled telephone cord forms a spiral with 65.0 turns, a diameter of 1.30 cm, and an unstretched length of 65.5 cm. Determine the inductance of one conductor in the unstretched cord.
Answer:
[tex]L=1.07\ \mu H[/tex]
Explanation:
Given that,
No of turns in a coiled telephone cord is 65
The diameter of the coil, d = 1.3 cm = 0.013 m
Radius, r = 0.0065 m
Unstretched length of the coil, l = 65.5 cm = 0.655 m
We need to find the inductance of one conductor in the unstretched cord. The formula for the inductance is given by :
[tex]L=\dfrac{\mu_oN^2 A}{l}\\\\L=\dfrac{4\pi \times 10^{-7}\times (65)^2\times \pi (0.0065)^2}{0.655 }\\\\L=1.07\times 10^{-6}\ H\\\\L=1.07\ \mu H[/tex]
So, the inductance of one conductor in the unstretched cord is [tex]1.07\ \mu H[/tex].
A hockey puck is sliding on frictionless ice, in an Eastward direction. It collides with a second hockey puck, initially stationary, which then goes off in the Northern direction. What direction is the first hockey puck moving after the collision
Answer:
Southeast
Explanation:
We have to put into cognisance that the first hockey puck is moving in the eastern direction in the first instance, before it hits the other stationary hockey puck. And as such, on hitting the second puck, it's displacement is expected to differ, as a result of the collision. While the stationary puck will the move in the Eastern direction, it changes the direction of the first puck, from eastern to southeastern