During the hammer throw at a track meet, an 8.0 kg hammer is accidentally thrown straight up. If 784.0 J of
work were done on the hammer to give it vertical velocity, how high will it rise?

The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.

Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.

The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:

P = ρgh + Po

where:

P is the absolute pressure at the given depth

ρ is the density of the water

g is the acceleration due to gravity (assumed to be 9.81 m/s²)

h is the depth of the ocean

Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)

Substituting the given values, we get:

P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa

P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa

P = 1.002 x 10^8 Pa.

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Answer:

A light-year is the distance light travels in one year.

Answer:

Explanation:

a unit of astronomical distance equivalent to the distance that light travels in one year, which is 9.4607 × 1012 km (nearly 6 million million miles).

A collision that is elastic occurs when there is no net loss of kinetic energy in the system as a result of the collision. Kinetic energy and momentum are both conserved in elastic collisions.

When two balls collide at a pool table, that is an instance of an elastic collision. When you throw a ball on the ground and it bounces back into your hand, there is no net change in the kinetic energy, making it an elastic collision.

Two balls colliding at a pool table is an example of an elastic collision. When a ball is tossed to the ground and subsequently returns to your hand, there is no net change in the kinetic energy, making it an elastic collision.

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Time period of a wave is the inverse of its frequency. The period of the wave with a frequency of 2.09 Hz is 0.47 seconds.

Frequency of a wave is the number of wave cycles per unit time. Frequency is the inverse of the time period of the wave. Hence, it has the unit of s⁻¹ which is equivalent to Hz.

The higher frequency of a wave indicates more number of wave cycles in a short time. Frequency is directly proportional to the energy and inversely proportional to the  wavelength.

Given the time period of the wave = 2.09 Hz

then frequency = 1/2.09 Hz = 0.47 s.

Therefore, the time period  of the wave is 0.47 seconds.

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Explanation:

The sound travel in 2 seconds

Answer:

Explanation:

To find the momentum of an object given it's mass and velocity we use the formula

From the question

mass = 20 kg

velocity = 5 m/s

We have

momentum = 20 × 5

We have the final answer as

Hope this helps you

Answer:

Explanation:

The torque is given by the formula:

τ = F × r × sin(θ)

where τ is the torque, F is the force applied, r is the distance between the force and the pivot point, and θ is the angle between the force and the lever arm.

In this case, the person's weight is the force being applied, and it can be calculated as:

F = m × g

where m is the mass of the person and g is the acceleration due to gravity (9.81 m/s^2).

F = 65 kg × 9.81 m/s^2 = 637.65 N

The distance between the person and the pivot point is 1.5 m, so r = 1.5 m.

The angle between the person's weight and the lever arm is 90 degrees, so sin(θ) = 1.

Therefore, the torque the person is exerting on the board is:

τ = F × r × sin(θ) = 637.65 N × 1.5 m × 1 = 956.475 N·m

So the person is exerting a torque of 956.475 N·m on the diving board with respect to the pivot point.

Answer:

a. 11.3 units

b. 46.031°

c. 11.3 units

d. 46.03°

Explanation:

a. magnitude

B = \(\sqrt{R^{2}-A^{2} }\)

= √15.7² - 10.9²

= √127.68

= 11.3 units

b. direction

θ = cos⁻¹(10.9units/15.7 units)

= 46.031⁰ north of west

c. thge magnitude at 15.7 units is the same as solution a above

15.7² = 10.9² + B²

B = 11.3 units.

d. the direction is same as  answer b.

θ = 46.031°

but the vector faces south of west

The relationship between period and frequency is inverse. The period of a wave is the time it takes for one complete cycle of the wave to occur. The frequency of a wave is the number of cycles that occur in a given period of time. As the period of a wave increases, the frequency decreases, and as the period decreases, the frequency increases. This relationship can be expressed by the equation:frequency = 1 / periodSo, as the period (the denominator) increases, the frequency (the numerator) decreases, and as the period decreases, the frequency increases. This relationship is inverse.

Answer:

The relationship between period and frequency is inverse.

Period is the time it takes for a repeating event to occur, and is usually measured in seconds. Frequency is the number of times an event occurs in a given period of time, and is usually measured in Hertz (Hz), which is the number of events per second.

An inverse relationship means that as one value increases, the other value decreases, and vice versa. In the case of period and frequency, as the period (time) of a repeating event increases, the frequency (number of events per second) decreases, and as the period decreases, the frequency increases.

For example, if a wave has a period of 2 seconds, it means that it takes 2 seconds for one complete wave cycle to occur. If we measure the frequency of this wave, it would be 0.5 Hz (1 event per 2 seconds), because there is one complete wave cycle every 2 seconds. If we doubled the period of the wave to 4 seconds, the frequency would be 0.25 Hz (1 event per 4 seconds), because there would be one complete wave cycle every 4 seconds.

I hope this helps! Let me know if you have any questions or if you need further clarification.

The power of the motor can be calculated by dividing the work done (2400J) by the time taken (2 minutes). Therefore, the power of the motor is 2400J/120s = 20W.

Motor is a mechanical or electrical device that converts energy into motion. Motors are used in a variety of applications, including industrial, commercial, and residential. Examples of motors include electric motors, steam engines, and internal combustion engines. Electric motors use electrical energy to produce rotational mechanical energy, while steam engines produce rotational mechanical energy through the use of steam pressure. Internal combustion engines produce rotational mechanical energy through the combustion of fuel. Motors are used in a variety of applications, ranging from powering household appliances to running industrial machinery. In addition, motors are used to power various types of transportation, such as cars and boats. Motors are also used to power robotics in a variety of industries, including manufacturing and healthcare.

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Answer:

The solubility of KNO3 at 50 degrees C is 83 g/100 g water.

Explanation:

when u see the graph and by using graph reading techniques then u find the solubility.

To find the mass of the object, we can use the formula for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:

mass = (2 * KE) / (velocity^2)

Substituting the given values:

mass = (2 * 426 J) / (13 m/s)^2

mass = (2 * 426 J) / (169 m^2/s^2)

mass = 852 J / 169 m^2/s^2

mass = 5.04 kg

Therefore, the mass of the object is 5.04 kg.

Answer: the answer is 6kg.

Explanation:

Mass= force divided by acceleration, which would be 12 divided by 2.

Answer:

B

Explanation:

The more mass an object has, the more gravity it has.

The statement which correctly explains the weight you would experience on each planet is: B. You would weigh less on planet A because it has less mass than  planet B.

Weight can be defined as the force acting on a body or an object as a result of gravity.

Mathematically, the weight of an object is given by the formula;

\(Weight = mg\)

Where;

Hence, we can deduce that the weight and gravity acting on an object is highly dependent on the mass of an object.

Therefore, the higher the mass in a planet, the higher the gravity existing there.

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Answer:30

Explanation:

Current=60 milliamps

Current=(voltage)/(resistance)

60=(voltage)/(resistance)

Doubling the resistance means multiplying both sides by 1/2

60x1/2=(voltage)/(resistance) x 1/2

30=(voltage)/2(resistance)

Therefore the resistance would be 30 milliamp if we double the resistance

The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .

According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.

The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.

According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.

Therefore, option C is correct.

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The correct answer is option D. That is, the branch of Physics that study the particles movement at any speed, including very high speeds is Relativity

Kinematic is a branch of Physics that deal with a study of particle's motion without considering the cause of the motion. While dynamics deals with the motion of a particle as well as the causes of the motion.

The branch of Physics that study the particles movement at any speed,

including very high speeds is Relativity.

We have relativity of mass, relativity of time and relativity of length. All deal with the speed of light which is the fastest speed on earth as of now.

Therefore, the correct answer is option D. That is, the branch of Physics that study the particles movement at any speed, including very high speeds is Relativity.

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Answer:

300 m/s

Explanation:

2d = vt

v = 2d/t

v = 2×90/.3

v=300 m/s

d = distance

t = time

v = velocity/speed of sound

Answer:

C

Explanation:

In this solution, the unit vectors in the directions of A + B, A × B, and 2A + 3C are √62,√1915, and √686. The magnitudes of A + B, A × B, and 3A - 2C are √62, √1915, and √164. The angles between A × B and B × A, A and C, and B and C are √30, cos-1(4/√35), and cos-1(-1/√14).

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Answer:

The more the mass, the more the gravity. The more the distance the less the gravity.

Explanation:

I just learned about it on E_d_g_e_n_u_i_t_y

Answer:

The specific heat of the substance is 393.939 joules per kilogram-degree Celsius.

Explanation:

We notice that the student is mixing a substance with a high temperature and another substance with a low temperature, where the first release heat to the latter one until thermal equilibrium is reached. By the First Law of Thermodynamics and assuming that the entire system has no energy interactions with the surroundings, we get the following model:

\(\Delta U_{x}+\Delta U_{w} = 0\) (1)

Where \(\Delta U_{x}\) and \(\Delta U_{w}\) are the changes in internal energy for the unknown substance and water, measured in joules.

By definition of internal energy, we expand the equation above now:

\(m_{x}\cdot c_{x}\cdot (T_{o,x}-T_{f,x})+m_{w}\cdot c_{w}\cdot (T_{o,w}-T_{f,w}) = 0\) (2)

Where:

\(m_{x}\), \(m_{w}\) - Masses of the unknown substance and water, measured in kilograms.

\(c_{x}\), \(c_{w}\) - Specific heats of the unknown substance and water, measured in joules per kilogram-degree Celsius.

\(T_{o,x}\), \(T_{f,x}\) - Initial and final temperatures of the unknown substance, measured in degrees Celsius.

\(T_{o,w}\), \(T_{f,w}\) - Initial and final temperatures of water, measured in degrees Celsius.

Then, we clear the specific heat of the unknown substance:

\(c_{x} = \frac{m_{w}\cdot c_{w}\cdot (T_{f,w}-T_{o,w})}{m_{x}\cdot (T_{o,x}-T_{f,x})}\)

If we know that \(m_{w} = m_{x} = 0.075\,kg\), \(c_{w} = 4186\,\frac{J}{kg\cdot^{\circ}C}\), \(T_{f,w} = T_{f,x} = 31.15\,^{\circ}C\), \(T_{o,x} = 96.5\,^{\circ}C\) and \(T_{o,w} = 25\,^{\circ}C\), then the heat capacity of the unknown substance is:

\(c_{x} = \frac{(0.075\,kg)\cdot \left(4186\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (31.15\,^{\circ}C-25\,^{\circ}C)}{(0.075\,kg)\cdot (96.5\,^{\circ}C-31.15^{\circ}C)}\)

\(c_{x} = 393.939\,\frac{J}{kg\cdot ^{\circ}C}\)

The specific heat of the substance is 393.939 joules per kilogram-degree Celsius.

Answer:

The vertical component of the velocity can be found using the formula:

V₀y = V₀ * sin(θ)

where V₀ is the initial velocity, θ is the angle of projection, and V₀y is the vertical component of the velocity.

Substituting the given values, we have:

V₀y = 48 * sin(53°)

Using a calculator, we can evaluate sin(53°) to be approximately 0.799:

V₀y = 48 * 0.799

V₀y ≈ 38.352

Therefore, the vertical component of the velocity with which the ball was launched is approximately 38 meters/second, which corresponds to option B.

Answer:

B.) 38 meters/second

Explanation:

Answer:

A. the motion of an object along a curved path