A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. the mass of the ball is 0.38 kg. the ball approaches the cushion with a velocity of +2.50 m/s and rebounds with a velocity of -1.90 m/s. the ball remains in contact with the cushion for a time of 3.40 × 10-3 s. what is the average net force (magnitude and direction) exerted on the ball by the cushion? f = entry field with correct answer entry field with incorrect answer entry field with correct answer
The average net force exerted on the billiard ball by the cushion is -491.76 N in the opposite direction of the initial velocity of the ball.
Explanation:The average net force exerted on the billiard ball by the cushion can be calculated using the impulse-momentum theorem. The impulse is equal to the change in momentum of the ball, which is the product of the mass of the ball and the change in velocity. In this case, the initial velocity is +2.50 m/s, and the final velocity is -1.90 m/s. The change in velocity is therefore (-1.90) - (+2.50) = -4.40 m/s. With a mass of 0.38 kg, the change in momentum is (-4.40) * (0.38) = -1.672 kg*m/s.
The average net force is equal to the impulse divided by the time of contact, which is 3.40 × 10-3 s. Therefore, the average net force is (-1.672) / (3.40 × 10-3) = -491.76 N. Since the force is negative, the direction of the force exerted on the ball by the cushion is opposite to the initial velocity of the ball.
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The average net force exerted on a 0.38 kg billiard ball by a cushion when it rebounds perpendicularly with a change in velocity from +2.50 m/s to -1.90 m/s during a contact time of 3.40 × 10-3 s is 494 N. This force is in the direction opposite to the motion of the ball.
Explanation:The direction of the force exerted by the cushion would be in the opposite direction of the movement of the ball and its magnitude can be calculated using Newton's second law, F = ma, where F is force, m is mass, and a is acceleration. Here, we first need to calculate the acceleration by subtracting final velocity from initial velocity and dividing it by the time of contact. So, acceleration = (final velocity - initial velocity) / time = (-1.90 m/s - 2.50 m/s) / 3.40 × 10-3 s = -1300 m/s². Now, we can find the force: F = ma = 0.38 kg * -1300 m/s² = -494 N. Hence the cushion exerts an average force of 494 N in the negative or opposite direction.
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Why are renewable sources of energy better than nonrenewable sources?
Answer:
Explanation:
Renewable energy such as solar energy, wind energy, geothermal energy and hydropower are inexhaustible and obtained from natural sources. This energy can be replenished. Whereas, the non-renewable energy sources such as coal and petroleum products are exhaustible energy. They cannot be replenished. It takes millions of years to form non-renewable energy. The non-renewable energy cause pollution but renewable energy is environment-friendly without being depleted. Therefore, renewable sources of energy better than non-renewable sources.
Four students are playing a game of tug-of-war. The two students on the right have masses of 54 kg and 57 kg, and pull with a combined force of 140 N. The two students on the left have masses of 53 kg and 55 kg and pull with a combined force of 120 N. Calculate the magnitude and direction of the acceleration of the students.
We have to first obtain the resultant force and use it to obtain the acceleration as 0.18 ms-2.
What is the resultant force?The resultant force is that singular force that has the same effect in magnitude and direction as two or more forces acting together. Now since the students involved in the thug of war all lie on the same line.
Let us take the right to be positive and the left to be negative, the resultant force now is; 140 N - 120 N = 20N whose direction is to the right.
The total mass to the right is 111Kg hence the acceleration is;
111Kg * a = 20 N
a = 20 N/111Kg
a = 0.18 ms-2
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Why a bouncing ball doesn't have simple harmonic motion . Explain with detail
A bouncing ball loses some of its energy at every bounce. The ball and the Earth collide, and during this collision momentum and kinetic energy are transferred. If the kinetic energy of the ball before the collision does not equal the kinetic energy of the ball after the collision, the ball cannot bounce back to the height of previous fall because it does not have enough kinetic energy to convert to potential energy.
Moreover, simple harmonic motion requires a force whose magnitude is proportional to the displacement and whose direction points towards the equilibrium point of the motion, called a restoring force, and this is not the case for a bouncing ball. The ball is under the influence of gravity during the entire process and the repulsive forces during the collision. Neither are restoring forces, so a bouncing ball's motion is not considered simple harmonic.
On a hot summer day a young girl swings on a rope above the local swimming hole. when she lets go of the rope her initial velocity is 2.25 m/s at an angle of 35.0° above the horizontal. if she is in flight for 1.10 s, how high above the water was she when she let go of the rope?
The girl's initial velocity components are used, and the equations are solved to find the vertical distance travelled. The girl was approximately 0.683 meters above the water when she let go of the rope.
Explanation:To find the height above the water, we can use the equations of projectile motion. The initial velocity has two components: one along the horizontal direction and one along the vertical direction. Since the girl lets go of the rope, the only force acting on her is gravity. This means that the vertical component of her velocity will decrease as she moves upward and then increase as she moves downward. At the highest point of her trajectory, her vertical velocity will be zero.
We can use the equations:
vertical velocity at time t = initial vertical velocity + acceleration × time
Since the acceleration due to gravity is downward and has a value of 9.8 m/s², we can write:
0 = 2.25 m/s × sin(35°) - 9.8 m/s² × t
Solving this equation for time t gives us t = 0.494 s.
We can then use the equation:
vertical distance = initial vertical velocity × time - 0.5 × g × t²
Plugging in the values, we get:
vertical distance = 2.25 m/s × sin(35°) × 0.494 s - 0.5 × 9.8 m/s² × (0.494 s)² = 0.683 m
Therefore, the girl was approximately 0.683 meters above the water when she let go of the rope.
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The girl was approximately 4.51 meters above the water when she let go of the rope. This was determined by resolving her initial velocity into horizontal and vertical components and using the kinematic equation for vertical motion under gravity.
Projectile Motion Calculation
To determine how high above the water the girl was when she let go of the rope, we need to analyze her motion as a projectile. We'll start by resolving her initial velocity into horizontal and vertical components:
Initial velocity [tex](v_0): 2.25 m/s[/tex]
Angle above horizontal: [tex]35.0^o[/tex]
Horizontal component [tex](v_{0x})[/tex]:
[tex]v_{0x} = v_0 \times cos(\theta)\\v_{0x} = 2.25 \times cos(35.0^o) = 1.84 m/s[/tex]
Vertical component [tex](v_{0y})[/tex]:
[tex]v_{0y} = v_0 \times sin(\theta)\\v_{0y} = 2.25 \times sin(35.0^0) = 1.29 m/s[/tex]
Next, we use the vertical motion to determine the initial height (h). We use the kinematic equation for vertical motion under gravity, assuming downward is negative:
[tex]y = v_{0y} \times t + 0.5 \times a \times t^2[/tex]
Where:
y = vertical displacement (we want to solve for the initial height, so y = h)
[tex]t = 1.10 s[/tex] (total flight time)
[tex]a = -9.8 m/s^2[/tex] (acceleration due to gravity)
Since she starts from an unknown initial height and lands at [tex]y = 0[/tex] (water surface level), rearrange the equation for h:
[tex]0 = h + (1.29 m/s \times 1.10 s) - (0.5 \times 9.8 m/s^2 \times (1.10 s)^2)\\0 = h + 1.42 - 5.93\\h = 4.51 meters[/tex]
When testing a laptop power connector, how close should the voltage measured be to the accepted voltage of the laptop?
When testing a laptop power connector, the voltage measured should be very close to the accepted voltage of the laptop, usually within a tolerance of ±5%. If the measured voltage is significantly higher or lower, it may indicate a problem with the power connector or the power supply.
Explanation:When testing a laptop power connector, the voltage measured should be very close to the accepted voltage of the laptop. The accepted voltage is usually specified by the laptop manufacturer and can be found in the laptop's specifications or user manual. Generally, the voltage measured should be within a certain tolerance of the accepted voltage, usually around ±5%.
For example, if the accepted voltage of the laptop is 19 volts, then the voltage measured should be within the range of 18.05 volts to 19.95 volts. If the voltage measured is significantly higher or lower than the accepted voltage, it may indicate a problem with the power connector or the power supply.
It's important to note that the voltage measured can vary slightly depending on factors such as the quality of the measuring device and any fluctuations in the power supply. However, if the measured voltage is consistently outside of the acceptable range, it is recommended to consult a professional technician for further diagnosis and repair.
At what temperature (degrees fahrenheit) is the fahrenheit scale reading equal to (a) 6 times that of the celsius and (b) 1/5 times that of the celsius?
The Fahrenheit temperature is 6 times the Celsius temperature roughly when it is 7.6 degrees Celsius. It is 1/5 times the Celsius temperature approximately when it's -169.4 degrees Celsius.
Explanation:To find the temperatures where the Fahrenheit reading is (a) 6 times and (b) 1/5 times that of Celsius, we need to use the formula for converting Celsius to Fahrenheit: °F = (1.8 * °C) + 32. To find out when Fahrenheit is 6 times Celsius, create the following equation and solve for °C: 6°C = 1.8°C + 32. You can do this by subtracting 1.8°C from both sides, getting 4.2°C = 32, then dividing by 4.2 to find that when °C is roughly 7.6, the Fahrenheit value is 6 times the Celsius value. Repeating the process for when Fahrenheit is 1/5 times Celsius (0.2°C = 1.8°C + 32), we get that when °C is approximately -169.4, the Fahrenheit value is 1/5 times the Celsius value.
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A car is raised a certain distance in a service-station lift, thus giving it potential energy relative to the floor. if it were raised twice as high, how much more potential energy would it have?
_______ is the most effective nuclear bullet.
Neutron is the most effective nuclear bullet.
What are nuclear bullets?Even as depleted uranium, or DU, is extraordinarily dense and may punch via thick tank armor, many accept as true that those shells release small doses of radiation, like miniature neutron bombs. The U.S. has used DU shells in Iraq, Afghanistan, and Syria.
There are currently no recognized gun-type guns in the provider: advanced nuclear weapon states tended to abandon the design in favor of implosion-type weapons, boosted fission weapons, and thermonuclear weapons. New nuclear bullet states have a tendency to increase boosted fission and thermonuclear guns best.
There are currently no known gun-kind weapons in provide: advanced nuclear weapon states tended to desert the design in choose of implosion-kind weapons, boosted fission weapons, and thermonuclear weapons. New nuclear weapon states generally tend to expand boosted fission and thermonuclear guns handiest.
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An fm radio station broadcasts electromagnetic radiation at a frequency of 101.7 mhz. the wavelength of this radiation is ________ m.
Helene a hiker starts at an elevation of 27 ft above sea level and descends 32ft during her hike to Basecamp which describes the elevation of base camp
Answer:
5 feet below sea level
Explanation:
Outside controlled airspace, the minimum flight visibility requirement for vfr flight above 1,200 feet agl and below 10,000 feet msl during daylight hours is
When calculating power what two pieces of information are needed?
A. Watts and Time
B. Distance and Mass
C. Work and Mass
D. Work and Time
A model rocket blasts off from the ground, rising straight upward with a constant acceleration that has a magnitude of 86.0 m/s2 for 1.70 seconds, at which point its fuel abruptly runs out. air resistance has no effect on its flight. what maximum altitude (above the ground) will the rocket reach?
The maximum altitude the rocket will reach is 169 meters above the ground.
Explanation:The maximum altitude (above the ground) that the rocket will reach can be determined by using the equations of motion. Since the rocket rises straight upward with a constant acceleration, we can use the kinematic equation:
vf = vi + at
where vf is the final velocity, vi is the initial velocity, a is the acceleration, and t is the time. In this case, the initial velocity is 0 m/s, the acceleration is 86.0 m/s², and the time is 1.70 seconds. Plugging in these values, we get:
vf = 0 + (86.0)(1.70)
vf = 146.2 m/s
Since the maximum height occurs when the velocity is 0 m/s, we can use the equation:
vf² = vi² + 2ad
where d is the displacement. Solving for d, we get:
d = (vf² - vi²) / (2a)
Plugging in the values, we get:
d = (0 - (146.2)²) / (2(-86.0))
d = 169 m
Therefore, the maximum altitude the rocket will reach is 169 meters above the ground.
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The result of changing a physical sound wave into an analogous electrical signal using a transducer (such as a microphone) is called
The result of changing a physical sound wave into an analogous electrical signal using a transducer (such as a microphone) is called analogue audio. In this system, the rapid electrical level is directly proportional to the rapid air pressure taken by the transducer. The analogue signal is then augmented and can be kept on an analogue medium such as tape or transformed further into a succession of discrete mathematical numbers. The advantages of using this device is that it yields a subtle sound and is pleasing to the ear by pushing the signal level and overdriving it. But the disadvantages are editing it would be tedious and prone to degradation.
An air core solenoid with 68 turns is 8 cm long and has a diameter of 1.2 cm. how much energy is stored in its magnetic field when it carries a current of 0.77a?
The energy stored in the magnetic field of the air core solenoid is 0.063 joules.
Explanation:When a current of 0.77 amperes flows through the air core solenoid with 68 turns, a length of 8 cm, and a diameter of 1.2 cm, the energy stored in its magnetic field can be calculated using the formula for the energy stored in an inductor:
[tex]\[ \text{Energy} = \frac{1}{2} \times \text{inductance} \times \text{current}^2 \][/tex]
The inductance (L) of a solenoid is given by the formula:
[tex]\[ L = \frac{\mu_0 \times N^2 \times A}{l} \][/tex]
where:
[tex]\( \mu_0 \)[/tex] is the permeability of free space [tex](\(4\pi \times 10^{-7} \, \text{Tm/A}\))[/tex],
(N) is the number of turns (68),
(A) is the cross-sectional area of the solenoid [tex](\(\pi \times (0.6 \, \text{cm})^2\))[/tex],
(l) is the length of the solenoid (8 cm).
Substituting these values into the inductance formula and then into the energy formula, we get the final answer of 0.063 joules.
Tp-3 which class of trailer hitch is best suited for a boat and its equipment weighing less than 2,000 pounds?
A Class I or II trailer hitch is typically optimum for towing a boat and its equipment weighing less than 2000 pounds. It's also crucial to consider your vehicle's towing capacity and the combined weight of the boat, its equipment, and the trailer.
Explanation:The optimal class of trailer hitch for towing a boat and its equipment weighing less than 2000 pounds is typically Class I or Class II. Class I trailer hitches can handle up to 2000 pounds gross trailer weight (GTW) with an utmost trailer tongue weight (TTW, weight the trailer puts on the hitch itself) of 200 pounds. Class II hitches can carry up to 3,500 pounds with a 300-pound maximum on the tongue.
Bear in mind that it is also crucial to check the towing capacity of your vehicle to ensure that it can handle the weight of the trailer and the boat as the vehicle's capacity can't be increased by using a higher class hitch. Furthermore, always consider the weight of the boat along with all of its equipment and the trailer's weight when determining the total weight.
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How long does it take anya to cover the distance of 5.00 miles ?
To determine the time it takes to cover 5.00 miles at 9.5 mi/h, you can use the formula Time = Distance / Speed, giving approximately 31.58 minutes.
Explanation:To calculate how long it takes Anya to cover the distance of 5.00 miles, given the speed of a runner, we can use the formula:
Time = Distance / Speed
If a marathon runner averages 9.5 mi/h, we would substitute the values into the formula to find the time:
Time = 5.00 miles / 9.5 mi/h
Time = 0.5263 hours
To convert the time from hours to minutes, we multiply by 60 minutes per hour:
Time = 0.5263 hours × 60 minutes/hour
Time = 31.58 minutes
Therefore, it would take approximately 31.58 minutes for Anya to cover a distance of 5.00 miles at a speed of 9.5 mi/h.
Papers scattered randomly across the desk represents high entropy and are a good example of which law?
A.the zeroth law of thermodynamics
B.the first law of thermodynamics
C.the second law of thermodynamics
D the law of conservation of energy
Answer:
C is the best answer:)
Explanation:
Which of the following accurately describes the differences between the SI and English systems of measurement?
A. The two systems are used interchangeably in the scientific and technical communities.
B. The English system is more commonly used in Europe than in the United States.
C. The English system is preferred for use in the scientific and technical communities due to its ease of use over the SI system.
D. The SI system, which is based on the metric system, has been more widely adopted than the English system, which is harder to use.
(D) The SI system, which is based on the metric system, has been more widely adopted than the English system, which is harder to use describes the difference between the SI and English systems of measurement.
The SI system has many names in order to cover different ranges of the same measure. These names are made by simply adding prefixes such as "kilo","milli" etc. The units of SI system are: metre, are, litre etc which are widely used due to its ease.
If you drop the apple, what kind of motion will you see?
An architect finds some unlabeled dimensions on a blueprint, and no scale is shown. a 15-ft. wall that has already been built measures 1.5 in. on the drawing. a new wall that has to be built measures 3 in. on the drawing. how long will the new wall be?
Answer:
30
Explanation:
An architect finds some unlabeled dimensions on a blueprint, and no scale is shown. a 15-ft. wall that has already been built measures 1.5 in. on the drawing. a new wall that has to be built measures 3 in. on the drawing. The new wall be 3- ft.
What is blueprint?The location of elements like doors, windows, sinks, and appliances as well as the style of the building are all shown in blueprints, a sort of construction sketch. Simply put: You will need a set of blueprints in order to create a building.
An architect finds some unlabeled dimensions on a blueprint, and no scale is shown. a 15-ft. wall that has already been built measures 1.5 in. on the drawing. a new wall that has to be built measures 3 in. on the drawing. The new wall be 3- ft.
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Karen is running forward at a speed of 9 m/s. She tosses her sweaty headband backward at a speed of 20 m/s. The speed of the headband, to the nearest whole number relative to a stationary observer watching Karen, is _____ m/s
Answer:
-11 m/s
Explanation:
a lot simpler than that above me
When you are paddling a canoe, you push the water backwards with your paddle, which in turn will push you forward. Which law of motion is being described in this scenario?
A.Law of Inertia
B.Newton's Second Law of Motion
C.Newton's Third Law of Motion
D.Newton's First Law of Motion
A farmer places unhatched chicken eggs under a heat lamp. How does the radiation help the eggs?
An airplane flies at an altitude of 36,000 km and is traveling at a velocity of 300.0 km/h to the north, but the tailwind is 20.0 km/h. What is the airplane's final velocity? (Remember that velocity is a vector.) vf =
Vectors quantity have magnitude and direction, which means that they can be solved arithmetically with their corresponding signs. In this case, we can simply add the two velocities to get for the final velocity of the plane. But first let us determine the signs of each velocity value.
As a reference, we take the direction of the plane to be going the positive y-axis. Therefore it is going up and positive. Now take note that the wind is a “tailwind” which means that the wind is going WITH the direction of the plane, therefore it is also a positive. Now knowing that, we can add the two:
Final velocity = 300 km / hr + 20 km / hr
Final velocity = 320 km / hr
Just a heads up, it's actually 320 km/h N. The verified answerer did not pay attention to the last sentence. Since it is about vectors, you must include the direction of the magnitude.
If the nile river empties into the mediterranean sea in which direction does it flow
The Nile River empties into the Mediterranean Sea in the direction of flow from South to North. It is a common mistaken belief that water will flow from North to South because of the Earth’s rotation. It is not the case for Nile River since it is located at the elevated land of a hill. It is natural that the water flow must be from top down to the bottom. The Nile River will flood only once a year and its flow will start at Lake Victoria down to the Mediterranean coast.
What is hooke's law? does it apply to elastic materials or to inelastic materials?
Explanation:
Hooks law tries to explain th relationship between the force applied and the extension of the elastic material.
Elastic materials are materials which obeys hooks law
Which distance can be most accurately measured with a ruler?
a. the size of an object under a microscope
b. the width of a book
c. the length of a river
d. the distance between two cities?
The answer is a width of a textbook. It is usually has centimeter and millimeter units on it. Since rulers are most commonly 15 or 30 cm long, it could only be used to measure the length or width of small things like small tin, or the length of a piece of paper. A length of a river and the distance between two cities cannot be measured by a ruler, there is proper equipment for that, the same goes for the size of an object under the microscope.
A group of a few thousand stars that are loosely held together by gravity is called a