A boy of mass 70kg climbed a hill 1000m high. Calculate the maximum energy gain by the boy

Answer:

Explanation:

If a ship sets out to sail to a point 154 km due north and an unexpected storm blows the ship to a point 72 km due east of its starting point, then the ships distance from the original destination can be gotten by finding the displacement of the ship and this can be gotten by using pythagoras theorem.

Let D be the unknown displacement

According to the theorem;

D² = 154² + 72²

D² = 23716 + 5184

D² = 28900

D = √28900

D = 170km

This means that the ship must now sail a distance of 170km for it to reach its original destination.

The interval of time in which the car was moving the fastest is between 6 and 8 seconds.

option C.

The velocity of a car is the rate of change of displacement with time. When the displacement of the car increases, the velocity of the car increases as well.

Mathematically, the formula for velocity of a car is given as;

v = Δx/Δt

where;

From the given graph, the velocity of the car increases the most from 6 seconds to 8 seconds

v = ( 4.5 m - 2 m )/(8s - 6 s)

v = 1.25 m/s

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Newton's Second Law of Motion states "The rate of change of momentum of a body is directly proportional to the applied unbalanced force in the direction of force".

Answer:

If an object has a fast velocity, the dots on a ticker tape diagram will be far apart.

Answer:

Every negative or positive thought and action we make must have an equal and opposite reaction.

Explanation:

Answer: c. The electric force increases

Explanation:

If the distance between two charged particles decreases, the electric force between them increases.

According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:

F = k * (q1 * q2) / r^2

Where:

F represents the electric force between the particles.

k is the electrostatic constant.

q1 and q2 are the charges of the particles.

r is the distance between the particles.

As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.

For this ninth planet, astronomers would most likely assume that: it originated in another star system and was gravitationally captured.

A solar system is a collection of both outer and inner planetary (astronomical) bodies alongside the Moon that usually orbit around the Sun, in slightly elliptical orbits.  

Based on astronomical science, there are nine (9) planets in the solar system and these are;

Astronomers would most likely assume that a planet that orbited the Sun in an opposite direction in contrast to the other planets, originated in another star system and was gravitationally captured.

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The separation distance S between the rocks will initially increase as Rock Y falls since Rock X is already ahead of it. However, as Rock Y accelerates and gains speed, the separation distance S between the rocks will start to decrease.

Distance refers to the amount of space or physical separation between two points or objects. It is a fundamental concept in physics, mathematics, and everyday life. Distance can be measured in different units such as meters, kilometers, miles, or light-years, depending on the context and the scale of the objects being measured.

In physics, distance is a key component of many equations that describe the behavior of particles and objects. For example, the distance between two electric charges or masses determines the strength of the force between them. In mathematics, distance is the length of the shortest path between two points in a Euclidean space, and it plays a crucial role in geometry, topology, and calculus.

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Answer:

2as=v2-u2

2000=v2

V=44

V=u+at

44/10=t

T=4.4seconds

Explanation:

If I move 3 m east and 4 m north, then my displacement would be 5m.

In geometry and mechanics, displacement is defined as a vector whose length is the shortest distance from initial to the final position of a point P undergoing the motion.

If an object moves relative to the reference frame—for example, if professor moves to the right relative to whiteboard or passenger moves toward the rear of airplane—then object's position changes. And this change in position is known as displacement.

Given AB= 3m east and BC= 4m north

AC= √ 3² + 4²= 25

So, AC, displacement = 5m

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Explanation:

F = k |q1| |q2| / r^2

k = 9 * 10^9

q1 = - 2.5 C

q2 = 2 C

r = 100

r^2 = (10^2)^2 = 10^4

F = (9*10^9) * ( 2.5 ) ( 2) / ( 100)^2

F = 45* 10^9 / 10^4

F = 45 * 10^9 * 10 ^ -4 = 45 * 10^5 N

F = 45 * 10 ^ 5 N

Pressure is a measure of force per unit area:

P = F/A

The water exerts a pressure of 202 kPa = 202,000 Pa on the diver, who has a surface area of 1.50 m². Then the force exerted by the water is F such that

F = PA

F = (202,000 Pa) (1.50 m²)

F = 303,000 N = 303 kN

Answer:

?

Explanation:

Answer: The force acting on the wire is 0 N

The formula for the force exerted by a magnetic field on a current-carrying wire is F = BIL sin(theta), Where, F = force B = magnetic field strength, I = current, L = length of the wire, Theta = angle between the wire and the magnetic field direction Given that Length of the wire (L) = 35 cm = 0.35 m. Magnetic field strength (B) = 0.53 T

Current through the wire (I) = 4.5 A, We need to find the force acting on the wire (F).The angle between the wire and the magnetic field is 0° as the wire is parallel to the field. Therefore, sin(theta) = sin(0°) = 0° Using the formula, F = BIL sin(theta) F = 0.53 T × 4.5 A × 0.35 m × sin(0°) = 0 N

Therefore, the force acting on the wire is 0 N, as the wire is parallel to the magnetic field direction. It means that the magnetic field does not exert any force on the wire. Note that the force will be non zero if the wire is not parallel to the magnetic field direction.

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We can calculate the focal length of the lens as follows:1/f = 1/d₀ - 1/d₁ = 1/2940 + 1/215910 = 0.00052So,f = 1/0.00052 = 1923.08 mm . Therefore, the focal length of the projection lens is approximately 1923.08 mm.

In order to find out the focal length of the projection lens for the given LCD projector, we can use the thin lens equation which is given as follows:1/f = 1/d₀ + 1/d₁ where f = focal length of the projection lensd₀ = distance of the object from the lensd₁ = distance of the image from the lens .

Given data: Object height, h₀ = 24.2 mm Image height, h₁ = 1.78 m = 1780 mm .

Distance of the object from the lens, d₀ = 2.94 m = 2940 mm . Now, we need to calculate the distance of the image from the lens, d₁. For that, we can use the magnification formula which is given as:m = - h₁/h₀ = d₁/d₀So, we can rearrange the above formula as:d₁ = - (h₁/h₀) × d₀ = - (1780/24.2) × 2940 = - 215910 mm .

We can see that the value of d₁ comes out to be negative which means that the image is formed on the opposite side of the lens. This shows that the lens is a diverging lens. Therefore, we can calculate the focal length of the lens as follows:1/f = 1/d₀ - 1/d₁ = 1/2940 + 1/215910 = 0.00052So,f = 1/0.00052 = 1923.08 mm . Therefore, the focal length of the projection lens is approximately 1923.08 mm.

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Answer:

Jupiter

Explanation:

The largest planet in our solar system by far is Jupiter, which beats out all the other planets in both mass and volume. Jupiter's mass is more than 300 times that of Earth, and its diameter, at 140,000 km, is about 11 times Earth's diameter.

Note:

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Answer: Jupiter

Explanation: The largest planet in our solar system is Jupiter and it has a mass that is 300 times Earth's mass.

Answer: They will fall at the same time

Explanation:I had a google doc about this

When air resistance is considered, the effect of the air resistance will cause the rock to fall faster than the pebble which will be delayed due to its lesser weight. In the absence of air resistance, both rock and pebble will fall down at the same time.

Free fall is a motion of an object in which the force of gravity is the only force acting upon it. A body moving upwards would not be considered to be falling. But if the body falls under the effect of the force of gravity, it is said to be in free fall.

Free fall is a type of motion in which no air resistance is considered and the force acting upon an object is only gravity. All bodies under such conditions fall with an equal rate of acceleration, regardless of their masses.

As a body falls through the air, have suffered some degree of air resistance. Air resistance is the collisions of the surface of an object with molecules present in the air. The factors that have a direct effect on the amount of air resistance are the cross-sectional area and the speed of the object.

As the rock had greater weight than the pebble in the absence of air resistance it will fall faster than the pebble.

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Answer:

Meteorologists

Explanation:

definition: study atmosphere

Answer:

Meteorology Chart. Meteorologists are scientists who study the atmosphere and its many changes.

Explanation:

Answer:

Because the light only spears to part of the water so it would appear less deep

the answer is c because it has the most volts

a

A heavier ball has more mass, which means it has greater inertia. Inertia is the resistance of an object to changes in its state of motion

The main reason Vince and Matt switched to a heavier leather football when the wind gusts began picking up is that the heavier ball would be less affected by the strong winds compared to the lightweight foam football.

A heavier ball has more mass, which means it has greater inertia. Inertia is the resistance of an object to changes in its state of motion. When thrown, a heavier ball will have more resistance to changes in its trajectory caused by the wind. Therefore, it will be more stable and less likely to be blown off course by the gusts of wind.

On the other hand, a lightweight foam football is more susceptible to being carried away by strong winds. Its low mass and lack of inertia make it easier for the wind to alter its path, potentially causing inaccurate throws or difficulty in catching.

By switching to a heavier leather football, Vince and Matt ensured a more stable and predictable game of catch, even in windy conditions.

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Answer:

0.9m/s^2 (yours is 0.87, so choose that)

Explanation:

formula for centripetal acceleration:

v^2/r

to find v, we know that f=1/90s, and r=180m.

v=(2pir)/T

v=(2pi(180))/90

v=12.6m/s

now plug into a=v^2/r

a=(12.6)^2/180

a=0.9m/s^2

1. Coefficient of kinetic friction = 0.1.
2. The speed of the mass will be 6.26 m/s right before hitting the floor.


1. To find the coefficient of kinetic friction, we can use the equation of motion. The distance traveled by the block on the ramp is given as 5 meters, and the initial velocity is 10 m/s. Using the equation of motion, we can find the deceleration of the block. Then, using the equation of force, we can find the force of friction acting on the block. Finally, dividing the force of friction by the weight of the block, we get the coefficient of kinetic friction, which is 0.1.

2. In this case, we can use the conservation of mechanical energy to find the velocity of the mass when it hits the floor. The potential energy stored in the spring when it was compressed is equal to the kinetic energy of the mass when it leaves the spring. Using the equation of motion, we can find the distance traveled by the mass on the horizontal surface of the tabletop. Then, using the equation of motion again, we can find the time taken by the mass to reach the floor. Finally, dividing the distance traveled by the time taken, we can find the velocity of the mass, which is 6.26 m/s.

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The greater annual temperature range in the middle to high latitudes of the northern hemisphere compared to the southern hemisphere is due to land-water contrast, ocean currents, atmospheric circulation, and topography.

The middle to high latitudes in the northern hemisphere experience a greater annual temperature range compared to similar latitudes in the southern hemisphere due to several factors:

1. Land-Water Contrast: The northern hemisphere has a larger landmass compared to the southern hemisphere, which results in a greater contrast between land and ocean. Land heats up and cools down faster than water, leading to more significant temperature variations.

2. Ocean Currents: The ocean currents in the northern hemisphere, such as the Gulf Stream, can transport warm water from lower latitudes to higher latitudes, enhancing the warming effect in summer and moderating temperatures in winter. The southern hemisphere lacks similar strong warm ocean currents.

3. Atmospheric Circulation: The atmospheric circulation patterns, such as the jet stream and prevailing wind patterns, play a role in temperature distribution. The northern hemisphere experiences more dynamic and variable atmospheric circulation, leading to larger temperature swings.

4. Topography: The northern hemisphere has more diverse and extensive mountain ranges, which can influence temperature patterns. Mountains can block or redirect air masses, causing localized variations in temperature.

These factors combined contribute to the greater annual temperature range in the middle to high latitudes of the northern hemisphere compared to the southern hemisphere.

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Answer:

Aluminium

Explanation:

The heat capacity for Aluminium is greatest and so it retains heat longer hence its the best conductor of heat.

Answer:

Approximately \(69\; {\rm N}\) at approximately \(126^{\circ}\).

Explanation:

Assume that both angles in the question are relative to the positive \(x\)-axis (towards the positive horizontal direction.)

Horizontal component (\(x\)-component) of the two forces would be:

Note that the \(x\)-component of the \(90\; {\rm N}\) force is negative since this components points away from the positive \(x\!\)-direction.

Hence, the net force in the \(x\)-component would be:

\((50\; {\rm N}) \, \cos(30^{\circ}) + (90\; {\rm N}) \, \cos(160^{\circ}) \approx (-41.3) \; {\rm N}\).

(Again, this component is negative since it points away from the positive \(x\)-axis.)

Similarly, the vertical component (\(y\)-component) of the two forces would be:

Hence, the net force in the \(y\)-component would be:

\((50\; {\rm N}) \, \sin(30^{\circ}) + (90\; {\rm N}) \, \sin(160^{\circ}) \approx 55.8\; {\rm N}\).

Refer to the diagram attached. The resultant net force is the vector sum of the components. Apply the Pythagorean Theorem to find this net force:

\(\begin{aligned}(\text{net force}) &= \sqrt{(\text{$x$-component})^{2} + (\text{$y$-component})^{2}} \\ &\approx \sqrt{(-41.3)^{2} + (55.8)^{2})}\; {\rm N} \\ &\approx 69\; {\rm N}\end{aligned}\).

Find the angle of this net force relative to the positive \(x\)-axis using the inverse cosine function \(\arccos\):

\(\begin{aligned}\arccos\left(\frac{(\text{$y$-component})}{(\text{net force})}\right) &\approx \arccos\left(\frac{55.8\; {\rm N}}{69\; {\rm N}}\right) \\ &\approx 126^{\circ}\end{aligned}\).

(The units might need to be converted into degrees.)

LOVE THE DOG

Explanation:

The star is moving away from Earth at a velocity of 1.8 x 106 m/s.

The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.

The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.

The velocity of a star moving away from Earth can be determined using the equation:

v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).

In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.

The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.

Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.

Therefore, velocity of star 1.8 x 106 m/s.

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