A sled plus passenger with total mass m = 53.1 kg is pulled a distance d = 25.3 m across a horizontal, snow-packed surface for which the coefficient of kinetic friction with the sled is μk = 0.155. The pulling force is constant and makes an angle of φ = 28.3 degrees above horizontal. The sled moves at constant velocity.
Required:
a. Write an expression for the work done by the pulling force in terms of m, g (acceleration due to gravity), φ, μk, and d.
b. What is the work done by the pulling force, in joules?
c. Write an expression for the work done on the sled by friction in terms of m, g (acceleration due to gravity), φ, μk, and d.
d. What is the work done on the sled by friction, in joules?
Answers
Answer:
Explanation:
Force of friction
F = μ mg
μ is coefficient of friction , m is mass and g is acceleration due to gravity .
If f be the force applied to pull the sled , the horizontal component of force should be equal to frictional force
The vertical component of applied force will reduce the normal force or reaction force from the ground
Reaction force R = mg - f sin28.3
frictional force = μ R where μ is coefficient of friction
frictional force = μ x (mg - f sin28.3 )
This force should be equal to horizontal component of f
μ x (mg - f sin28.3 ) = f cos 28.3
μ x mg = f μsin28.3 + f cos 28.3
f = μ x mg / (μsin28.3 + cos 28.3 )
a )
work done by pulling force = force x displacement
f cos28.3 x d
μ x mg d cos28.3 / (μsin28.3 + cos 28.3 )
b ) Putting the given values
= .155 x 53.1 x 9.8 x 25.3 cos28.3 / ( .155 x sin28.3 + cos 28.3 )
= 1796.76 / (.073 + .88 )
= 1885.37 J
c )
Work done by frictional force
= frictional force x displacement
= - μ x (mg - f sin28.3 ) x d
= - μ x mgd + f μsin28.3 x d
= - μ x mgd + μsin28.3 x d x μ x mg / (μsin28.3 + cos 28.3 )
d )
Putting the values in the equation above
- .155 x 53.1 x 9.8 x 25.3 +
.155 x .474 x 25.3 x .155 x 53.1 x 9.8 /( .155 x .474 + .88)
= -2040.67 + 149.92 / .95347
= -2040.67 + 157.23
= -1883.44 J .
Related Questions
a cart is pulled along at an angle of 30 degrees along the floor to a distance of 20 metres in 30 seconds with a force of 750 Newton find the power in watts
Answers
Answer:
500
p=w/t
w=force *displacement
w=750*20=15000j
p=15000/20=500watt
Explanation:
500
p=w/t
w =force displacement
w=750*20=15000j
p=15000/20=500 watt
Ann and Bob are carrying a 18.5 kg table that is 2.25 m long. A 8.33 kg box sits on the table 0.750 m from Ann. How much lift force does Ann exert? Use 9.80 for gravity and answer in Newtons
Answers
Answer:
F = 118 N
Explanation:
Assume Ann and Bob lift at their respective ends of the table
Sum moments about Bob's position to zero.
Let F be Ann's upward force
F[2.25] - 18.5(9.80)[2.25 / 2] - 8.33(9.80)[0.750] = 0
F = 117.86133333...
Given:
Mass of table, \(m_t = 18.5 \ kg\)Mass of box, \(m_b = 8.33 \ kg\)Length of table, \(2.25 \ m\)Length of box, \(0.75 \ m\)The weight of table will be:
→ \(W_t = m_t g\)
\(= 18.5\times 9.8\)
\(= 181.3 \ N\)
Now,
→ \(\sum M_A_{nn} = -81.634\times 0.750-181.3\times 1.125+R_{bob}\times 1.125\)
or,
→ \(R_{bob} = \frac{61.2255+203.9625}{2.25}\)
\(= \frac{265.188}{2.25}\)
\(= 117.9 \ N\)
Thus the above answer is right.
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if the net force of F is applied to half the mass (m/2), write the acceleration of the mass in terms of a.
Answers
The acceleration of the mass in terms of {m} is -
a = 2F/m.
What is the formula to calculate the force acting on a body?The force acting on a body is given by -
Force {F} = mass {m} x acceleration {a}
Given is that a net force of {F} is applied to half the mass {m/2}.
We know that -
Force {F} = mass {m} x acceleration {a}
F = {m/2} x a
a = 2F/m
Therefore, the acceleration of the mass in terms of {m} is -
a = 2F/m.
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Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?
Answers
Based on the information, it should be noted that the resistance R is 0.5 Ω.
How to calculate the resistanceWhen S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:
Z = jωL - 1/(jωC)
Since i leads e by 30°, we can express the phasor relationship as:
I = k * e^(j(ωt + θ))
Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)
Re(Z) = 0
By equating the real parts, we get:
0 = 0 - 1/(120πC)
Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:
Z = R + jωL - 1/(jωC)
Z = R + jωL
Im(Z) = ωL > 0
Substituting the angular frequency and rearranging the inequality, we have:
120πL > 0
L > 0
This condition implies that the inductance L must be greater than zero.
When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:
Z = R + jωL - 1/(jωC)
Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:
I = 0.5 * e^(j(ωt + θ))
By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:
Re(Z) = R
Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R
Therefore, the resistance R is 0.5 Ω.
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vector A has a magnitude of 8unit Victor has a magnitude of 80 units and makes angle of 45° with the Positive x-axis Vector B has the same magnitude of 8 unit anddirected a long the negative x-axis alon find the magnitude and direction of A+B.
Answers
Part: a
First let's represent each vector on a grid.
When we combine vectors visually, we connect the tip (arrow side) of one vector to the tail (non-arrow side) of the other. The vector is then drawn from the beginning point to the final position.The graphical representation of the sum of vectors \($\vec{A}$\)and \($\vec{B}$\) is:[See attachment]
Part: b
The graphical representation \($\vec{A}-\vec{B}$\) is: [See attachment]
What is Vectors?
Vectors are things that have a magnitude as well as a direction. They may be represented numerically by a number expressing the magnitude and an angle representing the magnitude. They can also be represented visually, with addition and subtraction.A vector is a number that defines not only the size of an object but also its movement or location with respect to another point or object. It is sometimes referred to as a Euclidean vector, a geometric vector, or a spatial vector.The length of the segment of the directed line is known as the magnitude of a vector in mathematics, and the angle at which the vector is slanted displays the vector's direction.Learn more about vector https://brainly.com/question/13322477
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which particles are elctrically neutral
Answers
Explanation:i think its nuetrons
What are the products of a fission reaction?
A. A smaller nucleus and a positron.
B. Energy and a larger nucleus.
C. Energy and two or more smaller nuclei
D. A larger nucleus and an electron.
Answers
Answer: B. Energy and a larger nucleus.
Explanation:Nuclear fission products are the atomic fragments left after a large atomic nucleus undergoes nuclear fission. Typically, a large nucleus like that of uranium fissions by splitting into two smaller nuclei, along with a few neutrons, the release of heat energy (kinetic energy of the nuclei), and gamma rays.
An object rotates with period of 10s.how many revolutions will it make in25s
Answers
Answer:
2¹/2
Explanation:
if the revolution is in 10 seconds the R,=Total time÷time of the revolution
Answer:
The object will make \(2\frac{1}{2}\) (2.5) revolutions in 25s.
This indicates that it will revolve through two full revolutions before rotating a third time in the opposite direction.
Explanation:
A rotational period of 10 seconds indicates that an object completes one full rotation every 10 seconds. The object's frequency is therefore 1/10 Hz, or 0.1 Hz. We must apply the calculation to determine how many revolutions it will complete in 25 seconds:
Number of revolutions = frequency x time passed
We are informed that 25 seconds have passed. Using the following formula, we can determine the frequency:
Frequency = 1 / period.
The frequency is because the period is 10 seconds:
Frequency equals 1/10, or 0.1 Hz.
Now we can calculate the number of revolutions using the formula above:
Number of revolutions = (25 s) x (0.1 Hz) = 2.5 revolutions
It takes 10 seconds for the first complete revolution, another 10 seconds for the second full revolution, and 5 seconds for the final half revolution.
In other words, the object starts at its starting location, rotates a whole anticlockwise revolution, another full anticlockwise revolution, and then eventually rotates a further half anticlockwise revolution before returning to its initial position. As a result, the item in this instance rotates in the opposite direction of clockwise.
As a result, in 25 seconds, the object will complete 2.5 revolutions.
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Explain how the extension of a spring is determined
Answers
Answer:
For a given spring the extension is directly proportional to the force applied For example if the force is doubled, the extension doubles When an elastic object is stretched beyond its limit of proportionality the object does not return to its original length when the force is removed
Explanation:
A 0.060 kg tennis ball moving with the speed of 2.50 m/s, collides head-on with a 0.090 kg ball initially moving away from it at a speed of 1.15 m/s. Assuming a perfectly inelastic collision, what are the speed and direction of each ball after the collision?
a
1.50 m/s same direction of the tennis ball's initial motion
b
1.69 m/s same direction of the tennis ball's initial motion
c
2.25 m/s opposite direction of the tennis ball's initial motion
d
1.85 m/s opposite direction of the tennis ball's initial motion
Answers
The speed of each ball after the collision is 1.69 m/s and direction is same of the tennis ball's initial motion.
What is principle of momentum conservation?According to the principle of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
According to principle of momentum conservation:
the velocity of the two ball mass after the perfectly inelastic collision is
= (0.060 kg × 2.50 m/s + 0.090 kg × 1.15 m/s) ÷ ( 0.060 kg + 0.090 kg)
= 1.69 m/s
Hence, the speed of each ball is 1.69 m/s.
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Hi
Please help on question asap if the answer is correct I'll rate you five stars a thanks and maybe even brainliest!
When two light bulbs are connected in series, the resistance in the circuit is increase compared to that with one lightbulb. The increased resistance opposes the flow of current so far fewer electrons pass per second , transferring less energy. The lightbulbs are therefore not as bright as In a circuit with same voltage but only one bulb.
However, when Two lightbulbs are connected in parallel, each loop behaves like a separate circuit . The resistance in each branch is the same as if there were just one light bulb in the whole circuit.there is the same current in each branch of the circuit ,so the bulbs Will light up with the same brightness as a single bulb circuit. The energy stored in the battery will decrease twice as quickly and battery will run out faster than I series circuit.
6) explain the advantages and disadvantages of arranging components in series or parallel.
Answers
Advantages of Components Arranged in Series:
1. Increased resistance: Connecting components in series increases the overall resistance in the circuit. This can be advantageous in situations where you want to limit the flow of current or control the amount of power being dissipated.
2. Voltage sharing: In a series circuit, the total voltage of the power supply is divided among the components. This can be useful when you want to ensure that each component receives a specific voltage.
3. Current consistency: The current remains the same throughout the series circuit, which can be beneficial when you need to ensure a consistent current flow through multiple components.
Disadvantages of Components Arranged in Series:
1. Reduced brightness or performance: As mentioned in the question, when light bulbs are connected in series, the increased resistance reduces the flow of current, resulting in dimmer bulbs or reduced performance in other electrical devices.
2. Single point of failure: If one component in a series circuit fails, it can disrupt the entire circuit and cause all components to stop functioning.
Advantages of Components Arranged in Parallel:
1. Brightness and performance: When components such as light bulbs are connected in parallel, each component receives the full voltage, resulting in brighter bulbs and better performance in other devices.
2. Redundancy: In a parallel circuit, if one component fails, the other components can continue to function independently. This provides redundancy and ensures that the failure of one component does not affect the others.
3. Increased current capacity: Parallel arrangement allows the circuit to handle higher currents, which can be useful in situations where high power or heavy loads are required.
Disadvantages of Components Arranged in Parallel:
1. Increased complexity: Parallel circuits require more wiring and connections, which can make the circuit more complex and harder to manage.
2. Higher cost: Parallel circuits may require more components and wiring, resulting in higher costs for materials and installation.
It's important to consider the specific requirements and constraints of the application when deciding whether to arrange components in series or parallel. Each configuration has its advantages and disadvantages, and the choice depends on factors such as desired current flow, voltage distribution, and reliability.I
diagram of an atom with labels
Answers
See this. I hope you find your answer
3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
Answers
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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Astronomers estimate that comet Hale-Bopp lost mass at a rate of
350,000 kg/s during it 100 day closest approach to the Sun. Estimate the total mass lost during that time? What fraction is that of the total mass of the comet (5 x 1015 kg)
Answers
Total mass lost by the comet is 30.24 x 10¹⁰ kg.
Rate at which mass is lost, R = 35 x 10⁴ kg/s
Time period, T = 100 days = 8.64 x 10⁶s
Therefore,
Total mass lost by the comet, m = R x T
m = 30.24 x 10¹⁰ kg
So,
The fraction of loss = (30.24 x 10¹⁰)/(5 x 10¹⁵) = 60.48 x 10⁻⁵
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Explain why rubbing one side of a metal sphere does not cause it to become charged.
Answers
What causes the poles of the electromagnet in an audio speaker to repeatedly switch directions?
a metal striker that pulls on the magnet
a diaphragm that vibrates around the magnet
a current that rapidly switches direction
a device that opens and closes a circuit
Answers
Answer:
he is right its c
Explanation:
Answer:
a current that rapidly switches direction
Explanation:
A metal ball began a free fall from the top of a building towards a sandy soil ground so that its velocity at the moment of striking the ground was 30 m/s, if the ball stopped after 0.01 s of penetrating the sand and the average resistance force of the sand again the motion of the ball was-3010 N, the mass of the ball is approximately equal to (Given that: The acceleration due to gravity is 10 m/s²)
Answers
The mass of the metal ball is approximately equal to 0.1 kg.
Freefall is a type of motion in which an object falls with gravitational acceleration without resistance from air, surface, or medium. In a freefall, the only force acting on an object is the force of gravity. In a freefall, the acceleration of an object is given by the formula: `g = 9.81 \(m/s^2`\)
The final velocity of a freefalling object can be calculated using the formula: `v = g*t `Where v is the final velocity, g is the gravitational acceleration, and t is the time taken to reach the final velocity. The force acting on an object is equal to the product of the mass of the object and the acceleration acting on the object. This is known as Newton's Second Law of Motion.
The formula for calculating force is: `F = ma`.Where F is the force acting on the object, m is the mass of the object, and a is the acceleration acting on the object.Given that the velocity of the metal ball at the moment of striking the ground was 30 m/s, and that it stopped after penetrating the sand for 0.01 s, we can calculate the mass of the metal ball using the formula for force.
We can assume that the force acting on the metal ball is equal to the average resistance force of the sand against the motion of the ball.
The formula for calculating force is: `F = ma`.
Rearranging the formula, we get: `m = F/a` .
Substituting the given values, we get: `
m = -3010/10`
Thus, the mass of the metal ball is approximately equal to 0.1 kg.
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Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
Answers
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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subtract 7.987 m - 0.54 m and the final answer must be in decimal form
Answers
Answer:
7.447
Explanation:
A red light, green light, and blue light differ in A. amplitude. B. complexity. C. wavelength. D. purity.
Answers
Answer:
A red light, green light, and blue light differ in wavelength
Explanation:
A red light, green light, and blue light differ in wavelength .
Different colors have different wavelengths or frequencies . Two light having different color may have different amplitude . Amplitude decides the intensity of light , not color. Sometimes , a light may be mixture of many color light like white light of the sun . Such light are not pure .
Un motociclist se deplseaza cu viteza de 54 km/h . In cat timp parcurge distanta de 18 km ?
Answers
Answer:
6767
Explanation:
On a warm summer day, a large mass of air (atmospheric pressure 1.01×105Pa) is heated by the ground to a temperature of 25.0 ∘C and then begins to rise through the cooler surrounding air. Calculate the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×104 Pa. Assume that air is an ideal gas, with γ=1.40. (This rate of cooling for dry, rising air, corresponding to roughly 1 ∘C per 100 m of altitude, is called the dry adiabatic lapse rate.)
Answers
The temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.
Using the ideal gas law, we can write: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the absolute temperature. Since the mass of air is not changing, we can write: PV = constant.
Applying this to the situation where the air mass rises to a level where the pressure is 8.70×10⁴ Pa, we get:
(1.01×10⁵ Pa)×V = (nR/T1)×T1(8.70×10⁴ Pa)×V = (nR/T2)×T2Dividing the second equation by the first and using the fact that γ=Cp/Cv=1.40 for air, we get:
(T2/T1) = [(P2/P1)^(γ-1)/γ] = [(8.70×10⁴ Pa)/(1.01×10⁵ Pa)]^(1.4/1.4) = 0.813Solving for T2, we get:
T2 = T1×(P2/P1)^(γ-1)/γ = (25+273) K×0.813 ≈ 287.3 K ≈ 14.3°CThus, the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.
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What is the distance in m between lines on a diffraction grating that produces a second-order maximum for 775-nm red light at an angle of 62.5°?
Answers
Answer:
The distance is \(d = 1.747 *10^{-6} \ m\)
Explanation:
From the question we are told that
The order of maximum diffraction is m = 2
The wavelength is \(\lambda = 775 nm = 775 * 10^{-9} \ m\)
The angle is \(\theta = 62.5^o\)
Generally the condition for constructive interference for diffraction grating is mathematically represented as
\(dsin \theta = m * \lambda\)
where d is the distance between the lines on a diffraction grating
So
\(d = \frac{m * \lambda }{sin (\theta )}\)
substituting values
\(d = \frac{2 * 775 *1^{-9} }{sin ( 62.5 )}\)
\(d = 1.747 *10^{-6} \ m\)
Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?
Answers
The diameter of the smaller end of the pipe is approximately 0.78 meters.
To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.
The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity
Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2
Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2
Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30
Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30
0.36 * 13 = (diameter2/2)^2 * 30
4.68 = (diameter2/2)^2 * 30
Dividing both sides by 30:
0.156 = (diameter2/2)^2
Taking the square root of both sides:
0.39 = diameter2/2
Multiplying both sides by 2:
0.78 = diameter2
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Four-wheel drive trucks do not stop better on icy
roads than a car. Is what law of motion (Newton's laws)
Answers
Calculate the magnitude of the force required to give a 0.145 kg baseball an acceleration a = 1.00 m/s^2 in the direction of the baseball's initial velocity when this velocity has a magnitude of 0.900c
Repeat for if the force and acceleration are perpendicular to the velocity.
Answers
The magnitude of the force required is 0.145 N.Force is defined as the product of mass and acceleration. Its unit is Newton.
What is force?Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
The given data in the problem is;
The magnitude of the force required
m is the baseball mass = 0.145 kg
a is the acceleration, = 1.00 m/s
Velocity has a magnitude of 0.900c
The magnitude of the force required is found as;
\(\rm F = m \times a \\\\ \rm F = 0.1045 \times 1.00 \\\\ F= 0.145 \ N\)
Hence the magnitude of the force required is 0.145 N.
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The element of an electric fire with an output of 1.5kw is a cylinder 0.3m long and 0.04 in radius calculate temperature if it behave as black body
Answers
The temperature of the electric fire element is 18.3 K
How do we calculate?
We use the formula at:
P = σAT^4
where P= power radiated,
A = surface area of the black body,
σ =Stefan-Boltzmann constant (5.67 × 10^-8 W/m^2K^4),
T = temperature in Kelvin.
P = 1500 W
The surface area of a cylinder is gotten by:
A = 2πrh + 2πr^2
A = 2π(0.04 m)(0.3 m) + 2π(0.04 m)^2
A = 0.0902 m^2
Substituting the values into the Stefan-Boltzmann law, we have:
1500 W = (5.67 × 10^-8 W/m^2K^4)(0.0902 m^2)T^4
T^4 = 4196.9
T = 18.3 K
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What are some examples of motion? Include the examples you found and describe an accurate frame of reference for one example. Then, describe an inappropriate frame of reference for that example.
Answers
Walking, running, and breathing are examples of motion. For rolling of ball, the street is a frame of reference and an insect on the ball is an inappropriate frame of reference.
A frame of reference, also known as a reference frame, is a perspective used in physics to assess whether an object is moving. A frame of reference is an environment or object that is thought to be stationary. The Earth itself, despite its motion, serves as the most frequently used frame of reference.
Some examples of motion are:
Motion is a part of many of our daily activities, including walking, running, closing doors, etc.
Another illustration of motion is the passage of air into and out of our lungs.
The vehicles that transport passengers between the point of pickup and the destination have motion.
A ball is rolling down the street that it is moving.
For a ball rolling down the street, the street is an appropriate frame of reference as it is rest as compared to the ball.
For the same example, the insect sitting on the rolling ball is a part of the rolling ball.
Therefore, the insect is an inappropriate frame of reference for the motion of the ball rolling down the street.
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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?
Answers
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
An exoplanet has three times the mass and one-fourth the radius of the Earth. Find the acceleration due to gravity on its surface, in terms of g, the acceleration of gravity at Earth's surface. A planet's gravitational acceleration is given by gp = G Mp/r^2p
a. 12.0 g.
b. 48.0 g.
c. 6.00 g.
d. 96.0 g.
e. 24.0 g.
Answers
Answer:
b. 48.0 g.
Explanation:
Given;
mass of the exoplanet, \(M_p = 3M_e\)
radius of the exoplanet, \(r_p = \frac{1}{4} r_e\)
The acceleration due to gravity of the planet is calculated as;
\(g_p = \frac{GM_p}{r_p^2} \\\\for \ Earth's \ surface\\\\g = \frac{GM_e}{r_e^2} \\\\G = \frac{gr_e^2}{M_e} = \frac{g_pr_p^2}{M_p} \\\\\frac{gr_e^2}{M_e} = \frac{g_p(\frac{r_e}{4}) ^2}{3M_e} \\\\\frac{gr_e^2}{M_e} = \frac{g_pr_e ^2}{16\times 3M_e} \\\\g = \frac{g_p}{48} \\\\g_p = 48 \ g\)
Therefore, the correct option is b. 48.0 g