A 64 kg box is pushed at a constant speed up a frictionless plane for a distance of 18 m by a force parallel to the plane. If the plane makes an angle of 24 degrees above the horizontal, how much work was done?
1500 j,1200j,4600j,2900j,8800j

Answer:

Explanation:

Assuming that air resistance is negligible, we can use the following kinematic equations to solve for the peak height:

v_f^2 = v_i^2 + 2ad

where v_f = 0 m/s (at the peak height) and a = -9.8 m/s^2 (acceleration due to gravity)

and

d = v_i t + (1/2)at^2

where d is the displacement or the peak height we want to find, v_i is the initial velocity, t is the time it takes to reach the peak height.

First, we need to resolve the initial velocity into its vertical and horizontal components:

v_i_x = v_i cos(30°) = 121.1 m/s

v_i_y = v_i sin(30°) = 70.0 m/s

Next, we can use the vertical component of the initial velocity to find the time it takes to reach the peak height:

v_f = v_i_y + at

0 m/s = 70.0 m/s + (-9.8 m/s^2)t

t = 7.14 s

Finally, we can use the time we found and the kinematic equation for displacement to find the peak height:

d = v_i_y t + (1/2)at^2

d = (70.0 m/s)(7.14 s) + (1/2)(-9.8 m/s^2)(7.14 s)^2

d = 247.5 m

Therefore, the peak height of the football is 247.5 meters.

Answer:

2.12m/s

Explanation:

Given parameters:

Force on trolley  = 1.5N

Mass of trolley  = 0.2kg

Unknown:

Velocity of the trolley  = ?

Solution:

To solve this problem, we first find the acceleration of the trolley;

          Force  = mass x acceleration

         Acceleration  = \(\frac{Force }{mass}\)

Insert the parameters and solve;

          Acceleration  = \(\frac{1.5}{0.2}\)   = 7.5m/s²

Now to find the acceleration;

  Initial velocity  = 0m/s

  v² = u² + 2aS

v is the final velocity

u is the initial velocity

a is the acceleration

S is the distance

  Distance  = 30cm and this is 0.3m

     v² = 0² + 2(7.5)0.3  = 4.5

     v = √4.5 = 2.12m/s

As per the given scenario, in this case, the coefficient of friction () is half and the coefficient of restitution (e) is zero.

Identify the body's starting velocity:

We may use the equation of motion to get the body's initial velocity (u)

\(v^2 = u^2 + 2as\)

\(0 = u^2 + 2(-9.8)m/s^2 * h\)

\(u^2 = 19.6h\)

u = √(19.6h)

The body's initial velocity (u) and initial relative velocity (u_rel) are the same.

The body's horizontal velocity immediately following the collision, which is zero, is the final relative velocity (v_rel).

\(e = v_{rel }/ u_{rel}\)

e = 0 / u_rel = 0 / u

Now, one can investigate the forces affecting the body: When a body is on an inclined plane.

There are two main forces at work on it: the frictional force that prevents the body from moving and the gravitational force that pulls it downward (mg).

The gravitational force has two components that act perpendicular to and parallel to the inclined plane, respectively: m*g*cos(45°) and m*g*sin(45°).

Determine the conditions for the body to stop:

μ * N = m * g * sin(45°)

μ * (m * g * cos(45°)) = m * g * sin(45°)

μ * cos(45°) = sin(45°)

(1/2) * cos(45°) = sin(45°)

Simplifying further, we have:

√2 / 4 = √2 / 2

Thus, the body will come to rest following the collision if the equation is valid.

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Answer:

Explanation:

a )

focal length of convex spherical mirror

f = 36/2  cm = 18 cm

object distance u = - 25 cm

mirror formula

\(\frac{1}{v} + \frac{1}{u} = \frac{1}{f}\)

\(\frac{1}{v} + \frac{1}{- 25} = \frac{1}{18}\)

\(\frac{1}{v} = \frac{1}{25} + \frac{1}{18}\)

v = 6.28  cm .

It is positive hence the image will be erect / upright  and formed on the back of the mirror.

For object distance of 47 cm

u = - 47 cm

Putting the values in the mirror formula

\(\frac{1}{v} + \frac{1}{- 47} = \frac{1}{18}\)

\(\frac{1}{v} = \frac{1}{ 47} + \frac{1}{18}\)

v = 13  cm

It is positive hence the image will be erect / upright and formed on the back of the mirror.

a) The magnitude of the snowboarder's average acceleration is approximately 0.463 m/s². b) The snowboarder travels approximately 10.39 meters in the given time of 6.7 seconds.

To determine the magnitude of the snowboarder's average acceleration, we can use the formula:

average acceleration = (final velocity - initial velocity) / time

Given that the initial velocity (u) is 0 m/s, the final velocity (v) is 3.1 m/s, and the time (t) is 6.7 s, we can substitute these values into the formula:

average acceleration = (3.1 m/s - 0 m/s) / 6.7 s

Calculating this expression, we find:

average acceleration = 3.1 m/s / 6.7 s ≈ 0.463 m/s²

Therefore, the magnitude of the snowboarder's average acceleration is approximately 0.463 m/s².

To determine the distance traveled by the snowboarder in this time, we can use the equation of motion:

distance = initial velocity * time + (1/2) * average acceleration * time²

Since the initial velocity is 0 m/s, we can simplify the equation to:

distance = (1/2) * average acceleration * time²

Substituting the given values:

distance = (1/2) * 0.463 m/s² * (6.7 s)²

Calculating this expression, we find:

distance ≈ 0.5 * 0.463 m/s² * 44.89 s² ≈ 10.39 meters

Therefore, the snowboarder travels approximately 10.39 meters in the given time of 6.7 seconds.

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Answer:

yea yes they can they lose their retina but they can dream

This question involves the concepts of density, volume, and mass.

(a) The volume occupied by this amount of water is "90 m³".

(b) The length of an edge of each small cube is "83 μm".

(c) The length of the edge of each small cube is "equal" to the diameter of a molecule.

(a)

The volume can be found using the following formula:

\(V = \frac{nM}{\rho}\)

where,

V = volume occoupied = ?

n = no. of moles = 5 mol

M = molar mass = 18 g/mol

\(\rho\) = density of water = 1 g/m³

Therefore,

\(V=\frac{(5\ mol)(18\ g/mol)}{1\ g/m^3}\\\\\)

V = 90 m³

(b)

First, we will find the volume of an individual molecule:

\(V_i =\frac{V}{nN_A}\)

where,

\(N_A\) = Avogadro's number = 6.02 x 10²³ molecules/mol

Therefore,

\(V_i=\frac{90\ m^3}{5\ mol(6.02\ x\ 10^{23}\ molecules/mol)}\)

Vi = 3 x 10⁻²³ m³

This volume can be given as a volume of the sphere:

\(V_i=\frac{4}{3}\pi r^3\\\\r=\sqrt[3]{\frac{3(3\ x\ 10^{-23}\ m^3)}{4\pi}}\)

r = 4.15 x 10⁻⁷ m

Diameter = d = 2r = 2(4.15 x 10⁻⁷ m)

d = 8.3 x 10⁻⁷ m = 83 μm

since the cubes are adjacent to each other. Therefore, the diameter will be equal to the edge length.

Edge Length = L = d

L = 8.3 x 10⁻⁷ m = 83 μm

(c)

The edge length is equal to the diameter of the molecule.

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The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

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Answer:

tick = 30

Explanation:

The angular velocity in a simple pendulum is

          w² = g / L

the angular velocity is related to the period

          w = 2π/ T

let's substitute

          \(\frac{4 \pi }{T^2} = \frac{g}{L}\)

           T = \(2 \pi \sqrt{\frac{L}{g} }\)

indicate that the length is m = 1, if we assume that the acceleration of gravity is g = 9.8 m / s²

           T = 2π  \(\sqrt{\frac{1}{9.8} }\)

           T = 2.0 s

the clock has a tick each period and since the period is 2.0 s, to complete the minute (60 s) you need

           tick = 1 60 / T

           tick = 1 60/2

           tick = 30

The clock ticks 30 times in a minute.

Given that the clock ticks only when the pendulum makes one full swing and complete on cycle and returns to its original position. To calculate how many times the clock ticks we need to calculate the time period of the pendulum swing.

For a pendulum, the time period (T) is given by:

\(T=2\pi \sqrt\frac{L}{g}\)

where g is the acceleration due to gravity = 9.8\(m/s^{2}\),

and L is the length of the pendulum = 1m (given)

\(T=2*3.14 \sqrt\frac{1}{9.8}\)

\(T=2s\)

So, the pendulum takes 2 seconds to complete a cycle.

2s = 1 tick

60 second = 60/2 = 30 ticks

It will tick 30 times in a minute.

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Answer:

You could put a pressure stick against the pressure and see the pressure or estimate it from the power its coming out.

Explanation:

Answer:

10-

Step-by-Step Explanation:

The speed of the sound wave is 660 meters per second.

To calculate the speed of the sound wave, we need to use the formula:
Speed = Frequency x Wavelength
Here, the frequency of the sound wave is given as 880Hz, and the wavelength is given as 0.75. To get the answer, we just need to plug these values into the formula and solve for the speed:
Speed = 880 x 0.75
Speed = 660 meters per second
It's important to note that the speed of sound depends on the medium through which it is traveling. In air, the speed of sound is approximately 343 meters per second at standard temperature and pressure. However, this value can change depending on factors such as temperature, humidity, and altitude.
Understanding the speed of sound is important in various fields, such as music, engineering, and physics. For example, in music, the speed of sound determines the pitch of a note, while in engineering, it can be used to design and optimize acoustic systems. In physics, it's used to study the properties of waves and to explain phenomena such as Doppler effect and sonic booms.

Therefore, the speed of the sound wave is 660 meters per second.

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Answer:

Most of the EM waves from the sun that reach Earth are infrared waves, visible light, and UV radiation.

Explanation:

I hope this helps! Have a good day!

The work done by the force is 7. 89 * 10^8 Joules and the magnitude of the force is 3. 3* 10 ^7 Newton

a. Work done = force * change in velocity = Impulse

Note that:

Force = mg

mass = 3.8x 104 kg

g = 10m/s²

Substitute into the formula for force

Force = 3.8* 10^4 * 10= 3.8* 10^5 Newton

Change in velocity = 6700 - 4600 = 2100 m/s

Work done = force *change in velocity

Work done =  3.8* 10^5 * 2100

Work done =  7. 89 * 10^8 Joules

b. Magnitude of the force = work done ÷ distance

Force = \(\frac{7. 89 * 10^8 }{2.4* 10}\)

Force = 3. 3* 10 ^7 Newton

Therefore, the work done by the force is 7. 89 * 10^8 Joules and the magnitude of the force is 3. 3* 10 ^7 Newton

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There will be no change in the ration of Q/V. Therefore the correct answer is (a).

The ratio of charge Q to voltage V across a capacitor is given by:

Q/V = C

Where C is the capacitance of the capacitor.

If the capacitance is doubled, the new capacitance C' becomes 2C. Substituting into the equation, we get:

Q/V = C

Q/V = 2C/2 = C'

So the ratio of Q to V remains the same, and there is no change in the ratio Q/V when the capacitance is doubled.

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Sound will travel fastest in air at 15°C.

The speed of sound in air, given in the range of 100 degrees Celsius and 0 degree Celsius include;

Air at 100°C 387 m/s

Air at 0°C 331 m/s

From the date above, the speed of sound in air increases with increases in temperature. Thus, Sound will travel fastest in air at 15°C.

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Answer: please find the answer in the explanation.

Explanation:

The direction of the magnetic field at the location of the charge due to the current-carrying wire can be determined by using right hand rule.

The thumb points in the direction of current while the fingers curl around in the direction of the magnetic field.

The right hand rule applies to a current in a straight wire. The thumb is pointed in the direction of the current and the fingers then give the direction of the magnetic field lines.

Answer:

B: Energy that is transformed is neither created or destroyed

Explanation:

The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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Answer:

Instrmentation engineering

Explanation:

Hope this helps!

A converging lens is one that is thicker in the centre than it is at the edges.

Converging Lens

Light is directed to a point at the optical centre or axis of a convergent lens. a lens that creates a true image by converting parallel light beams to convergent light rays. The image is actual and inverted as long as the object is outside of the focal point. The image becomes virtual and upright when the object is inside the focal point. A lens is a transmissive optical tool that refracts light to change how sharply it focuses. The lens in this instance is referred to as a positive or converging lens.

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Answer:

Explanation:

My name is Jeff

During the nuclear change we can expect to see different chemical symbols before and after the change

Chemical and nuclear reactions are quite different from one another. Atoms can share electrons with other atoms or participate in an electron transfer to increase their stability in chemical reactions. In nuclear reactions, the atom's nucleus stabilizes itself by going through some sort of alteration. Compared to the energies involved in chemical reactions, the energies produced in nuclear reactions are many orders of magnitude higher. Environmental factors like temperature or pressure do not significantly affect nuclear reactions like they do with chemical ones.

Nuclear reactions involve a change in an atom's nucleus, usually producing a different element. Chemical reactions, on the other hand, involve only a rearrangement of electrons and do not involve changes in the nuclei

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Answer: el pepe

Explanation:

Answer:

8125 N.

Explanation:

F = M A

M is mass

A is acceleration

F = 65 X 25

F = 8125 N.

Answer:

b. the cylinder

Explanation:

From the information given:

We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.

Taking their moments:

For the solid sphere; \(\text{The moment of inertia :}\) \(I_s\) = \(\dfrac{2}{5} \times m \times r^2\)

The moment of inertia of the cylinder, \(I_c = 0.5\times m \times r^2\)

The moment of inertia of rod, \(I_r =\dfrac{ m * r^2 }{12}\)

The rotational kinetic energy is directly corresponding to the moment of inertia.

Thus, the cylinder has the greatest rotational kinetic energy.

The airplane change in velocity be 120 m/sec

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.

The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

acceleration = velocity/time

Velocity = acceleration * time

Velocity = 60*2

Velocity = 120 m/sec

The airplane change in velocity be 120 m/sec

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