Part A
We will use the next formula to calculate the speed
\(v=\sqrt[]{\frac{G\cdot M}{R}}\)where v is the speed, G is the gravitation constant, M is the mass and r is the radius
First, we need to convert the miles to meters
1 mile =1609m
Height of the orbit = 300 miles= 482700 m
The radius of the Earth = 6.37x10^6m
The radius of the Orbit, R = 6.37x10^6+482700=6852700m
M=5.98x10^24 kg
G= 6.673 × 10-11 N.m^2 / kg^2
Then we substitute
\(v=\sqrt[]{\frac{(6.673\times10^{-11})(5.98\times10^{24})}{6852700}}=7630.98\text{ m/s}\)Part B
For the period T
\(T=\frac{2\pi R}{v}\)We substitute the values
\(T=\frac{2\pi(6852700)}{7630.98\text{ }}=5642.4s\)ANSWER
Part A
7630.98 m/s
Part B
5642.4 s
Think of a time you had trouble falling asleep. Why do you think you were having trouble? Brainstorm 2 strategies to help yourself fall asleep when you’re having trouble.
Answer:
Read a stroy and drink milk and relax
Explanation:
Mica is investigating the speed of waves. She hypothesizes that waves travel at different speeds depending on the media. She sets up an experiment where she sends two different waves through air, water, and glass. She keeps the temperature of eah medium constant and measure the speed of the waves as they travel through each medium. What would be the most likely result if Mica performed the same experiment again, but sent both waves through a vacuum instead of air, water, and glass?
Answer:
If Mica sends both waves through a vacuum instead of air, water, and glass, then she would find that the waves travel at the same speed. This is because a vacuum is a completely empty space with no matter or medium to interact with, and the speed of light is constant in a vacuum. Therefore, any electromagnetic waves, including light waves, radio waves, and microwaves, would travel at the same speed in a vacuum.
A spaceship in outer space has a doughnut shape with 900-m
outer radius. The inhabitants stand with their heads toward the center and their feet on an outside rim.
A.) Over what time interval would the spaceship have to complete one rotation on its axis to make a bathroom scale have the same reading for the person in space as when on Earth’s surface?
The formula for centripetal acceleration within the spacecraft is: ac =The outside radius of a spacecraft's doughnut-shaped body is 440 metres. The people are standing with thier feet on an outer rim and their heads .
What materials make up the Earth's surface?Earth's crust is made of igneous, metamorphic, or sedimentary rocks, which range in composition from mud or clay to diamonds or coal. Igneous rocks, which are created as magma cools, are the most prevalent types of rocks in the crust. Igneous rocks like granite and basalt are abundant in the crust of the Earth.
What precisely is a radius?The distance between any two places on a circle's circumference is in fact its radius. R or r are frequently used to denote it. Almost all calculations involving circles take this quantity into account. The radius of a circle can be used to determine a circle's circumference and surface area.
To know more about acceleration visit:
https://brainly.com/question/12550364
#SPJ1
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
For more such questions on equilibrium, click on:
https://brainly.com/question/517289
#SPJ8
A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 20.0 rpm in a time of 41.0 s.
What is the average angular acceleration avg of the merry‑go‑round in units of radians per second squared (rad/s2)?
What is the angular displacement Δ of the merry‑go‑round, in units of radians (rad),
during the time the child pushes the merry‑go‑round?
The child pushes the merry-go-round, which causes it to rotate by an angle of around 85.5 radians.
What is the merry-go-moment round's of inertia?The sum of the moments of inertia of the toddler and the merry-go-round (both about the same axis) represents the total moment of inertia: I=(28.13kg⋅m2)+(56.25kg⋅m2)=84.38kg⋅m2. When known values are substituted into the equation.
ω1 = 0 rad/s (initially at rest)
ω2 = (20.0 rpm) * (2π rad/rev) / (60 s/min) ≈ 4.19 rad/s
The average angular acceleration is given by the equation:
αavg = (ω2 - ω1) / t
where t is the time interval. Substituting the given values, we get:
αavg = (4.19 rad/s - 0 rad/s) / 41.0 s
αavg ≈ 0.102 rad/s²
Therefore, the average angular acceleration of the merry-go-round is approximately 0.102 rad/s².
To find the angular displacement of the merry-go-round, we can use the equation:
Δθ = ω1*t + (1/2)αt²
where ω1 is the initial angular speed, α is the average angular acceleration, and t is the time interval.
Substituting the given values, we get:
Δθ = 0 rad/s * 41.0 s + (1/2) * (0.102 rad/s²) * (41.0 s)²
Δθ ≈ 85.5 rad
To know more about rotate visit:-
https://brainly.com/question/13834090
#SPJ1
a. What can be inferred about the chemical reaction that has occurred?
b. Here are two different reactions:
- CH4(g) + 2O2(g) → CO2(g) + 2H2O(ℓ) + 213 kcal
- N2(g) + O2(g) + 45 kcal → 2NO(g)
Which of the above reactions might have taken place in the beaker? Support your answer with evidence.
c. Are the above reactions balanced? Support your answer with evidence.
d. How does an understanding of the law of conservation of mass impact the design and implementation of chemical processes?
idrk but good luck on this very hard question
Answer: hii
Explanation:
A person standing on the roof of a building drops a 0.125 Kg ball on the ground. A
child on eight floor saw the ball passing with a speed of 33.1 m/s. The first floor of the building
is 12.0 m high and each successive floor is 8.00 m high. Determine the total numbers of floors
in the building. How fast was the ball falling just before it hit the ground? What was its kinetic
energy just before it hit the ground?
Answer:
V = a t velocity after time t
t = 33.1 / 9.80 = 3.38 sec (time ball had been falling)
S = 1/2 a t^2 = 55.9 m
So the ball had been falling for 7 * 8 = 56 m
The child was 7 floors from the top
Since he was on the eight floor the floors below him were
7 * 8 + 12 = 68 m total floors below child
68 + 56 = 124 m total height of building
Total floors in building = 7 + 7 + 1 = 15 floors
PE at top = KE at bottom
KE = m g h = .125 * 9.80 * 124 = 152 Joules
A block lying on an inclined plane has a weight of 50 N. It just begins to slide down when the inclination of plane with the horizontal is 30°. The value of u is
Answer:
μ = tanθ = tan30 = 0.58
Explanation:
μ = force parallel/force perpendicular = mgsinθ/mgcosθ = tanθ
In a binary star system, the average separation between the stars is 5.0 AU, and their orbital period is 5.0 years. What is the sum of their two masses?The average distance of Star A from the center of mass is four times that of Star B. What are their individual masses?
Answer:
A. 5.03 solar mass.
B. the masses of Star A and B are 1.01 solar mass and 4.02 solar mass respectively.
Explanation:
A. The sum of their two masses can be found using Kepler's third law:
\(\frac{P^{2}}{a^{3}} = \frac{4\pi^{2}}{G(m_{A} + m_{B})}\)
Where:
P: is the period = 5 y = 1.58x10⁸ s
a: is the separation between the stars = 5 AU = 7.5x10¹¹ m
G: is the gravitational constant = 6.67x10⁻¹¹ m³kg⁻¹s⁻²
\(m_{A}\) and \(m_{B}\) are the masses of Star A and Star B respectively.
\(m_{A} + m_{B} = \frac{4\pi^{2}a^{3}}{P^{2}G} = \frac{4\pi^{2}(5 AU*\frac{1.5\cdot 10^{11} m}{1 AU})^{3}}{(1.58 \cdot 10^{8} s)^{2}6.67 \cdot 10^{-11} m^{3}*kg^{-1}*s^{-2}} = 1.00 \cdot 10^{31} kg*\frac{1 M_{\bigodot}}{1.989\cdot 10^{30} kg} = 5.03 M_{\bigodot}\)
Hence, the sum of their two masses is 5.03 solar mass.
B. Their individual masses can be found using the center of the mass equation:
\( a_{B} = (\frac{m_{A}}{m_{A} + m_{B}})a \)
Where:
\(a_{B}\) is the distance of Star B from the center of the mass
Since, \(a_{A}\) is four times \(a_{B}\) and a = 5 AU we have:
\( a_{A} = 4a_{B} \)
\( a = a_{A} + a_{B} \)
\( a_{B} = a - a_{A} = a - 4a_{B} \rightarrow a_{B} = \frac{a}{5} \)
Then, their individual masses are:
\(\frac{a}{5} = (\frac{m_{A}}{5.03 M_{\bigodot}})a\)
\(m_{A} = \frac{5.03 M_{\bigodot}}{5} = 1.01 M_{\bigodot}\)
Now, the mass of Star B is:
\(m_{B} = m_{T} - m_{A} = 5.03 M_{\bigodot} - 1.01 M_{\bigodot} = 4.02 M_{\bigodot}\)
Therefore, the masses of Star A and B are \(1.01 M_{\bigodot}\) and \(4.02 M_{\bigodot}\) respectively.
I hope it helps you!
A object spins through an angular displacement of 10 radians and has an angular acceleration of 2.3 rad/sec-squared. Assuming it began spinning from rest, over what time interval did the acceleration occur?
Answer:
The acceleration of the object occurred at 2.95 s
Explanation:
Given;
initial angular velocity of the object, ω = 0
angular acceleration, α = 2.3 rad/s²
angular displacement of the object, θ = 10 radians
The time of the motion is given by the following kinematic equation;
θ = ω + ¹/₂αt²
θ = 0 + ¹/₂αt²
θ = ¹/₂αt²
\(t^2 = \frac{2 \theta}{\alpha}\\\\t = \sqrt{\frac{2 \theta}{\alpha}}\\\\t = \sqrt{\frac{2 *10}{2.3}}\\\\t = 2.95 \ s\)
Therefore, the acceleration of the object occurred at 2.95 s
What might happen to the composition of air in the future
Since the beginning of the industrial revolution, human activity has been responsible for a substantial alteration in the chemical makeup of the atmosphere as well as a large rise in the concentration of greenhouse gases. These gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.
This is further explained below.
What is the composition of air?Generally, The molecules of the many gases that make up our atmosphere make up the air that we breathe.
Nitrogen makes up roughly 78 percent of the atmosphere, followed by oxygen (about 21 percent), and argon (nearly 1 percent). There are also, but in much lower concentrations, other chemicals that may be found in the air we breathe.
In conclusion, gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.
Read more about the composition of air
https://brainly.com/question/22902815
#SPJ1
An 8.0 Kg mass is placed at = 3 where should a 10 Kg mass be placed along the − so that the center of mass will be located ay = 4.5?
Answer:
Therefore, the 10 kg mass should be placed at x = 5.7 m along the x-axis to achieve a center of mass located at y = 4.5 m.
Explanation:
To find the position along the x-axis where a 10 kg mass should be placed such that the center of mass is located at y = 4.5, we can use the formula for the center of mass:
x_cm = (m1 * x1 + m2 * x2) / (m1 + m2)
Here, m1 and x1 represent the mass and position of the 8 kg mass, respectively. m2 is the mass of the 10 kg mass, and we need to find x2, its position.
Given:
m1 = 8 kg
x1 = 3 m
x_cm = unknown (to be found)
m2 = 10 kg
y_cm = 4.5 m
Since the center of mass is at y = 4.5, we only need to consider the y-coordinate when calculating the center of mass position along the x-axis.
To solve for x2, we can rearrange the formula as follows:
x2 = (x_cm * (m1 + m2) - m1 * x1) / m2
Substituting the given values:
x2 = (x_cm * (8 kg + 10 kg) - 8 kg * 3 m) / 10 kg
Simplifying:
x2 = (x_cm * 18 kg - 24 kg*m) / 10 kg
Now, we can set the y-coordinate of the center of mass equal to 4.5 m and solve for x_cm:
4.5 m = (8 kg * 3 m + 10 kg * x2) / (8 kg + 10 kg)
Simplifying:
4.5 m = (24 kg + 10 kg * x2) / 18 kg
Multiplying both sides by 18 kg:
81 kg*m = 24 kg + 10 kg * x2
Subtracting 24 kg from both sides:
10 kg * x2 = 81 kg*m - 24 kg
Dividing both sides by 10 kg:
x2 = (81 kg*m - 24 kg) / 10 kg
Simplifying:
x2 = 8.1 m - 2.4 m
x2 = 5.7 m
(brainlest?) ples:(
Answer:
the 10 kg mass should be placed at x = -2.4 m to achieve a center of mass at y = 4.5 m.
Explanation:
To find the position along the x-axis where the 10 kg mass should be placed so that the center of mass is located at y = 4.5, we can use the principle of the center of mass.
The center of mass of a system is given by the equation:
x_cm = (m1x1 + m2x2) / (m1 + m2),
where x_cm is the x-coordinate of the center of mass, m1 and m2 are the masses, and x1 and x2 are the positions along the x-axis.
Given:
m1 = 8 kg,
x1 = 3 m,
m2 = 10 kg,
y_cm = 4.5 m.
To solve for x2, we need to find the x-coordinate of the center of mass (x_cm) by using the y-coordinate:
y_cm = (m1y1 + m2y2) / (m1 + m2),
where y1 and y2 are the positions along the y-axis.
Rearranging the equation and substituting the given values:
4.5 = (83 + 10y2) / (8 + 10).
Simplifying the equation:
4.5 = (24 + 10*y2) / 18.
Multiplying both sides by 18:
81 = 24 + 10*y2.
Rearranging the equation:
10*y2 = 81 - 24,
10*y2 = 57.
Dividing both sides by 10:
y2 = 5.7.
Therefore, the y-coordinate of the 10 kg mass should be 5.7 m.
To find the x-coordinate of the 10 kg mass, we can use the equation for the center of mass:
x_cm = (m1x1 + m2x2) / (m1 + m2).
Substituting the given values:
x_cm = (83 + 10x2) / (8 + 10).
Since the center of mass is at x_cm = 0 (the origin), we can solve for x2:
0 = (83 + 10x2) / (8 + 10).
Rearranging the equation:
83 + 10x2 = 0.
24 + 10*x2 = 0.
10*x2 = -24.
Dividing both sides by 10:
x2 = -2.4.
Using the Left Hand Rule, if motion is away from you and the current is left, which way is the field?
A. Down
B. Left
C. Up
D. Right
Explanation:
To apply the Left Hand Rule, point your left thumb in the direction of the current and your left fingers in the direction of the motion. The direction in which your left palm faces is the direction of the magnetic field. In this case, if the motion is away from you (i.e., in the direction of your eyes), and the current is left, then the magnetic field will be directed upwards.12.
A hiker walks for 5km on a bearing of 053" true (North 53° East). She then turns and
walks for another 3km on a bearing of 107° true (East 17° South).
(a)
Find the distance that the hiker travels North/South and the distance that she travels
East/West on the first part of her hike.
The hiker travelled 4.02 km North/South and 4.74 km East/West during her hike.
This question involves vector addition, the resolution of vectors, the use of bearings, and trigonometry in the calculation of the hiker's movement.
This may appear to be a difficult problem, but with some visual aid and the proper use of mathematical formulas, the issue can be addressed correctly.
Resolution of VectorThe resolution of a vector is the process of dividing it into two or more components.
The angle between the resultant and the given vector is equal to the inverse tangent of the two rectangular components.
Angles will always be expressed in degrees in the solution.
The sine, cosine, and tangent functions in trigonometry are denoted by sin, cos, and tan.
The tangent function can be calculated using the sine and cosine functions as tan x = sin x/cos x. Also, in right-angled triangles, Pythagoras’ theorem is used to find the hypotenuse or one of the legs.
Distance Travelled North/SouthThe hiker traveled North for the first part of the hike and South for the second.
The angles that the hiker traveled in the first part and second parts are 53 degrees and 17 degrees, respectively.
The angle between the two is (180 - 53 - 17) = 110 degrees.
The angle between the resultant and the Northern direction is 110 - 53 = 57 degrees.
Using sine and cosine, we can calculate the north/south distance traveled to be 5 sin 57 = 4.02 km, and the east/west distance to be 5 cos 57 = 2.93 km.
Distance Travelled East/WestThe hiker walked East for the second part of the hike.
To calculate the distance travelled East/West, we must first calculate the component of the first part that was East/West.
The angle between the vector and the Eastern direction is 90 - 53 = 37 degrees.
Using sine and cosine, we can calculate that the distance travelled East/West for the first part of the hike is 5 cos 37 = 3.88 km.
To determine the net distance travelled East/West, we must combine this component with the distance travelled East/West in the second part of the hike.
The angle between the second vector and the Eastern direction is 17 degrees.
Using sine and cosine, we can calculate the distance traveled East/West to be 3 sin 17 = 0.86 km.
The net distance traveled East/West is 3.88 + 0.86 = 4.74 km.
Therefore, the hiker travelled 4.02 km North/South and 4.74 km East/West during her hike.
For more questions on travelled
https://brainly.com/question/750474
#SPJ8
How long does it take for the total energy stored in the circuit to drop to 10% of that value?
Express your answer with the appropriate units.A cylindrical solenoid with radius 1.00 cm
and length 10.0 cm
consists of 150 windings of AWG 20 copper wire, which has a resistance per length of 0.0333 Ω/m
. This solenoid is connected in series with a 10.0 μF
capacitor, which is initially uncharged. A magnetic field directed along the axis of the solenoid with strength 0.160 T
is switched on abruptly.
How long does it take for the total energy stored in the circuit to drop to 10% of that value?
Express your answer with the appropriate units.
The energy stored in the circuit at any time t is given by \(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)The units are in seconds.
The total energy stored in the circuit can be calculated using the formula: U = (1/2)L*I² + (1/2)Q²/C, where L is the inductance, I is the current, Q is the charge on the capacitor, and C is the capacitance.
Initially, the capacitor is uncharged, so the second term is zero.
Therefore, the initial energy stored in the circuit is U₀ = (1/2)L*I₀², where I₀ is the initial current, which is zero.
When the magnetic field is switched on, a current begins to flow in the solenoid.
This current increases until it reaches its maximum value, given by I = V/R, where V is the voltage across the solenoid and R is its resistance.
Since the solenoid is connected in series with the capacitor, the voltage across the solenoid is equal to the voltage across the capacitor, which is given by V = Q/C, where Q is the charge on the capacitor.
The charge on the capacitor is given by Q = C*V, where V is the voltage across the capacitor at any time t.
Therefore, we have I = V/R = Q/(R*C) = dQ/dt*(1/R*C), where dQ/dt is the rate of change of charge on the capacitor.
This is a first-order linear differential equation, which can be solved to give \(Q(t) = Q_{0} *(1 - e^{(-t/(R*C)}))\), where Q₀ is the maximum charge on the capacitor, given by Q₀ = C*V₀, where V₀ is the voltage across the capacitor at t=0.
The current in the solenoid is given by I(t) = \(dQ/dt*(1/R*C) = (V_{0} /R)*e^{(-t/(R*C)}).\)
The energy stored in the circuit at any time t is given by\(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)
The time t at which the energy stored in the circuit drops to 10% of its initial value can be found by solving the equation U(t) = U₀/10, or equivalently, \((1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C)}) + (1/2)C*V_{0} /R)^{2}*(1 - e^{(-2t/(R*C)})) = (1/20)L*I_{0} /R)^{2}.\)
This equation can be solved numerically using a computer program, or graphically by plotting U(t) and U₀/10 versus t on the same axes and finding their intersection point.
The solution is t = 1.74 ms.
The units are in seconds.
For more questions on energy
https://brainly.com/question/30403434
#SPJ8
An elevated water tank holds 1 million gallons of water. Determine the force (in lbf) that the tower structure must be able to withstand to support the water. Neglect the weight of the tank and tower themselves.
Answer:
8,345,925 lb-f
Explanation:
We know pressure P = F/A = ρgh ⇒ F = ρghA = ρgV
F = ρgV where F = force, ρ = density of water = 1000 kg/m³ , g = acceleration due to gravity = 9.8 m/s² and V = 1 × 10⁶ gallons = 1 × 10⁶ gallons × 1m³/264.2 gallons = 3785 m³
So, F = ρgV = 1000 kg/m³ × 9.8 m/s² × 3785 m³ = 37,093,000 N
We now convert Newtons to pound-force.
1 N = 0.225 lb-f
So, F = 37,093,000 N = 37,093,000 N × 0.225 lb-f/1 N = 8,345,925 lb-f
So, the tower must be able to withstand 8,345,925 lb-f
A computer hard disk 8.0 cm in diameter is initially at rest. A small dot is painted on the edge of the disk. The disk accelerates at 600 rad/s2 for 1/2 s, then coasts at a steady angular velocity for another 1/2 s.
What is the speed of the dot at t = 1.0 s?
Through how many revolutions has the disk turned?
One revolution is equal to 360 degrees, so the disk has completed 1/4 of a revolution or 0.25 revolutions.
We can use the fact that the angle rotated during the entire 1.0 s period is 90 degrees to calculate the number of revolutions completed. Disk accelerates at a rate of:
\(600 rad/s^2 for 1/2 s\)
ω = ω0 + αt,(ω is the final angular velocity, ω0 is initial angular velocity, α is angular acceleration, t is the time). The angular velocity remains constant at 300 rad/s. Using the equation
θ = ω0t + 1/2 αt^2,
Now, v = rω, ( v is linear speed of dot, r is radius of disk (which is half its diameter, or 4.0 cm), and ω is the angular velocity.
\(t = 1.0 s = 120 cm/s.\)
To know more about angular velocity, here
https://brainly.com/question/30733452
#SPJ4
An LED bulb transfers 200J of energy in 20s. Its power rating is ...
Answer:
\(\huge\boxed{\sf P = 10\ Watts}\)
Explanation:
Given:
Energy = E = 200 J
Time = t = 20 s
Required:
Power = P = ?
Formula:
P = E / t
Solution:
P = 200 J / 20 s
P = 10 Watts
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Jared is skateboarding at the park. He is moving at 7 m/s when he begins traveling up a ramp. The combined mass of Jared and the skateboard is 51 kg. How high will he go up the ramp, in m? (Round your answer to one decimal place if necessary.)
Jared will go up the ramp 2.5 meters.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
The work done by Jared on the ramp can be calculated as follows:
W = mgh
where m is the mass of Jared and his skateboard, g is the acceleration due to gravity (9.8 m/s²), and h is the change in height.
The work done by Jared on the ramp is equal to the initial increase in kinetic energy:
W = (1/2)mv²
Setting these two equations equal to each other, we get:
mgh = (1/2)mv²
Solving for h, we get:
h = (1/2)v²/g
Plugging in the known values, we get:
h = (1/2)(7 m/s)²/9.8 m/s² = 2.5 m
Thus, he will go up the ramp 2.5 m.
Learn more about Velocity here:
https://brainly.com/question/12904979
#SPJ1
IF THERE ARE ONLY 118 ELEMENTS, HOW DO YOU
ACCOUNT FOR THE MANY MILLIONS OF THINGS THAT
WE HAVE IN OUR UNIVERSE?
Answer:
Although there are only 118 elements that have been discovered and entered in the Periodic Table, there is an almost infinite multiplicity of things, materials, resources and other objects in the universe.
This is so because each of these elements can be combined with the others, varying its proportion and the inclusion of different elements, forming different things according to the proportion in which each element has been used.
____made up of glucose and fructose and found in plants.
1.Xylose
2.Maltose
3.Lactose
4.Sucrose
Answer:
1.Lactose
I Hope its help for you
Have a good day
To overcome an object's inertia, it must be acted upon by __________. A. gravity B. energy C. force D. acceleration
A spaceship hovering over the surface of Uranus drops an object from a height of 19 m. How much longer does it take to reach the surface than if dropped from the same height on Earth? Neglect air resistance in both cases. [The acceleration due to gravity on Uranus is 88.9% of that on Earth, gUranus = (0.889)g.] answer in : s
h= height = 19 m
g.e = gravity on earth = 9.8 m/s^2
g.u = gravity on Uranus = 9.8 x (88.9/100) = 8.71 m/s^2
Apply :
h = vot + 1/2 gt^2
h= 1/2 g t^2
t = √(2h/g)
Earth:
t= √(2(19)/9.8) = 1.97 s
Uranus
t= √(2(19)/8.71) = 2.09 s
Tu - Te = 2.09 - 1.97 = 0.12 s
Answer : 0.12 s
The group of test subject that are NOT given the experimental treatment is called what?
Answer:
The group that remains unaltered is called the control group.
A horizontal force is applied to push a 105 N trunk across the floor to the left with an acceleration of 25.1 m/s2. The coefficient of sliding friction between the trunk and the desk is 0.63.
With a 25.1 m/s2 acceleration, 2,946.19 N of horizontal force is required to push the trunk across the floor to the left.
What is the friction coefficient formula?Usually, the Greek letter mu is used to indicate it (). is mathematically equivalent to F/N, where F denotes frictional force and N is normal force. Due to the fact that F and N are both measured in units of force, the coefficient of friction has no dimensions (such as newtons or pounds).
An object's mass times its acceleration equals the object's net force:
F_net = m * a
The applied force less the frictional force equals the net force acting on the trunk:
F_net = F_applied - F_friction
The force of friction is given by:
F_friction = μ * N
As there is no vertical acceleration of the trunk, its weight is equal to the normal force:
N = m * g
where g is the gravitational acceleration.
When you combine everything, you get:
F_net = F_applied - μ * m * g = m * a
With the applied force factored in, we obtain:
F_applied = m * (a + μ * g)
Plugging in the given values, we get:
F_applied = 105 N * (25.1 m/s^2 + 0.63 * 9.81 m/s^2) = 2,946.19 N
To know more about horizontal force visit:-
https://brainly.com/question/2037071
#SPJ1
a)write an equation for the magnitude of this systems acceleration. use the variables from the problem statement together with g for acceleration from gravity in order to write you equation.b) calculate the magnitude of the systems acceleration in m/s^2
The equation for the magnitude of the system's acceleration is a = g + (2M/m), where g is the acceleration due to gravity and M and m are the masses of the two objects.
What is acceleration ?Acceleration is the rate of change of velocity in an object over time. It is the rate of change of the speed of an object, and is defined as the change in velocity divided by the change in time. In other words, it is the rate at which an object's speed changes. Acceleration can be caused by a change in the speed of an object, or by a change in its direction. It is usually measured in meters per second squared (m/s2). Acceleration can be either positive or negative, depending on the direction of the change in velocity.
a = g + (2M/m)
a = 9.81 m/s^2 + (2(8 kg)/(3 kg)) = 13.87 m/s^2
To learn more about acceleration
https://brainly.com/question/460763
#SPJ1
A 1200 kg car moving +13.7 m/s makes
an elastic collision with a 3200 kg truck,
initially at rest. What is the velocity of the
car after the collision?
(Unit = m/s)
Remember: right is +, left is -
When a car collides with another object, the total momentum of the system before and after the collision must be conserved. Momentum, on the other hand, is a product of mass and velocity. To find the velocity of a car after a collision, we must first consider the initial momentum of the system before the collision and compare it to the final momentum after the collision.
The total momentum of the system before the collision is calculated as follows:P_initial = m_car x v_carP_initial = 1200 kg x 13.7 m/sP_initial = 16,440 kg*m/s Since the two cars stick together after the collision, their final velocity is the same. Let's suppose the final velocity of the cars after the collision is v_f. Then:P_final = (m_car + m_obstacle) x v_fwhere m_obstacle is the mass of the object the car collided with. Because the car is at rest after the collision, we can assume that the velocity of the object it collided with is zero. Therefore:P_final = m_car x v_fP_final = 1200 kg x v_fThe momentum of the system after the collision must be equal to the momentum of the system before the collision. That means:P_initial = P_final16,440 kg*m/s = 1200 kg x v_fv_f = 13.7 m/s - (16,440 kg*m/s / 1200 kg) v_f = 13.7 m/s - 13.7 m/s v_f = 0 m/sTherefore, the car will come to a stop after the collision.For such more question on velocity
https://brainly.com/question/80295
#SPJ8
Mary cycled at an average speed of 8 km/h. How far has she traveled if she rides for 4 hours?
Record the lengths of the sides of ABC and ADE.
A net force of 40 N south acts on an object with a mass of 20 KG. What is the objects acceleration
Answer:
The answer is 2 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
where
f is the force
m is the mass
We have
\(a = \frac{40}{20} = \frac{4}{2} \\ \)
We have the final answer as
2 m/s²Hope this helps you