How do the masses of objects affect the strength of gravitational force?

The magnitude of the relative angle φ with which the ski jumper hits the slope

φ=14.08

This is further explained below.

Generally, the equation for time is mathematically given as

[tex]t = \frac{(2V tan \theta)}{g} \\\\t = \frac{2 * 24 * tan 59}{9.8}[/tex]

t = 8.152 s

The formula will now provide the slope of the flight path at the time of impact;

tan = V y / V x

V_y = 9.8 * (8.152)

V_y= 78.89 m/s

In conclusion,

[tex]tan \alpha = \frac{78.89}{24}[/tex]

[tex]tan \alpha = 3.2871[/tex]

[tex]\alpha= 73.08°[/tex]

Hence

φ=[tex]\alpha - \theta[/tex]

=73.08-59

φ=14.08

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The complete question is;

A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a speed of 24 m/s. The landing incline below her falls off with a slope of θ = 59◦ . The acceleration of gravity is 9.8 m/s².

What is the magnitude of the relative angle φ with which the ski jumper hits the slope? Answer in units of ◦

The engineer should take into account the convective currents that cause higher temperature gases to rise and lower temperature gases to sink.

Convection is a term that refers to the way in which heat is transmitted in a liquid or gaseous state as a consequence of the actual movement of particles at different temperatures. If this movement is due to the effect of gravitation, due to differences in density, it is called natural convection.

The engineer must take into account that, due to their density, the hottest gases tend to rise, and the coldest gases descend. Therefore, he would have to find a way for the hot gases to leave the floor and circulate around the house so that it stays at a warm temperature.

In the case of a house that is in a warmer climate the engineer should take into account convection because it can find a way in which the hot gases rise and are released through the roof of the house and keep the gases cold inside the house.

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The magnitude of the friction force she experiences=> f=  183.26 N.

friction force isthe force which opposes the motion of an object.

Total mass= 50 + 35 kg=85 kg

g= 9.8 m/s²

coefficient of friction with the snow (ц)=0.220

the friction force acting here is kinetic friction force, which is product of coefficient of friction and force acting on it which is mass × acceleration due to gravity.

the magnitude of the friction force= kinetic friction acting here=ц m g

                                   f = 0.220 × 85 kg × 9.8

                                   f=  183.26 N

friction force acting here is =  183.26 N.

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With the use of the formula below, their initial angle of launch was 26.2°

A projectile is any object that is projected into the air which take a trajectory path.

Given that a catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s. Their initial angle of launch can be calculated by using the formula

h = usinФt - 1/2gt²

Where

Substitute all the parameters into the formula

1.65 = 15sinФ × 0.33 - 1/2 × 9.8 × 0.33²

1.65 = 4.95sinФ - 0.5336

Collect the like term

4.95SinФ = 1.65 + 0.5336

4.95SinФ = 2.184

SinФ = 2.184/4.95

SinФ = 0.4411

Ф = [tex]Sin^{-1}[/tex](0.4411)

Ф = 26.2°

Therefore, their initial angle of launch was 26.2°

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An ohmic conductor's resistance is independent of the applied voltage, so the temperature stays constant.

An ohmic material or component is any material, component, or device that complies with Ohm's law, according to which the current flowing through the object is proportional to the applied voltage. Nonohmic materials and components are any substances or parts that do not adhere to Ohm's law.

Ohm's law, which describes how current, voltage, and resistance are related. The voltage or potential difference across a large number of materials directly correlates to the amount of steady current through those materials.

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The total displacement is 3.58 kilometers to the south of the east. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."

A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is. These factors provide the overall displacement: where,

The average speed is v.

Time has come.

The typical speed is:

v = 3.53 m/s

While the time must be changed from minutes to seconds:

t=169*60

=10140s.

Consequently, the displacement's size is

=3.53*10140

=35794 m

=3.58 km

Furthermore, since the direction and speed are identical, the direction is 45° south of east.

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The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.

A measurement with both magnitude and direction. It is often represented by an arrows whose length is proportional to the size of a quantity and whose orientation is the same as that of the quantity. An vector does not even have position, while having direction and magnitude.

Lets look at the ratio of the forces of the same charges but at different distances

[tex]$\frac{F_1}{F_2}=\frac{k_e \frac{q_{A q_B}}{r_1^2}}{k_e \frac{q_A q_B^2}{r_2^2}}$[/tex]

[tex]$\frac{F_1}{F_2}=\frac{r_2^2}{r_1^2}$[/tex]

Pugging in our given values we get the force F2 as:

[tex]$F_2=\frac{r_1^2}{r_2^2} F_1$[/tex]

=(13.7mm)2/(17.7mm)2(2.62N)

=1.57 N

The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.

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Answer:

B) Measuring cylinder

Explanation:

The maximum resultant of two vectors , one 10m/s and 20 m/s will be 22.36.

The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object. Air resistance is the name for the frictional force that an object experiences as it moves through the air and slows it down. Air resistance does greatly change trajectory motion, but because it is difficult to calculate, it is not taken into account in basic physics.

The separation of horizontal and vertical motions is the most crucial idea in projectile motion.

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The acceleration of the skateboarder is calculated out to bbe -2.33 m/s^2, when travelled at 7 meters per second.

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In the situation shown, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.

In the presence of gravity, the banana will move in a parabolic path. As the monkey lets go of the tree, it will have a downwards acceleration due to the presence of gravity. But both the banana and the monkey will have the same amount of acceleration. Because gravity causes objects to accelerate at the same rate independent of their mass.

Since both the banana and the monkey experienced the same acceleration, both will fall equal amounts of distance below their gravity-free path. So the banana misses the monkey, moving below the monkey. The only way the banana hits the monkey is that if the cannon is aimed at the monkey.

Therefore, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.

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The correct statement from above about the conservation of mass is: mass is conserved in both physical and chemical changes.

The correct answer choice is option c.

It follows that the law of conservation of mass states that: " matter can neither be created nor destroyed but changes from one form to another ". From this statement of the atomic theory, it then means that the mass of any substance remains the same in any state of matter, physical changes, chemical changes, before reaction and after reaction. Mass is neither created not destroyed.

The mass of matter is the same through out in both physical and chemical changes.

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Answer: Pitch of the sound depends on the frequency of the sound wave. The pitch is affected by the source of production of sound wave. It also depends on the shape of the medium in which it travels.

Explanation:

(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force  to loop resistance yields the current in the circuit.

How can we calculate emf induced in a loop?
The emf induced in the loop can be calculated using Faraday's law:
emf = dФ/dt ⇒ emf = A * (dB/dt)
where A represents the area of the loop and dB/dt is the change in magnetic field with time.

Therefore, using the above relation, emf induced= 0.0901 * 0.197= 0.017V
Again, using Ohm's law the current in the loop can be determined since
Current = emf/Resistance.

Thus,
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force  to loop resistance yields the current in the circuit.

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The total distance that the sled moved is 332.01 m.

Total distance s = s1 + s2 + s3

1st Case: Acceleration

u = 0 m/s

v = 37 m/s

a = 25 m/s²

Therefore, using the equation of motion:

[tex]v^{2} - u^{2} = 2as\\s = v^{2} - u^{2}/2a\\s = 37^{2} - 0^{2}/2 * 25\\s = 27.38m[/tex]

2nd Case: No Acceleration

t = 7 s

v = 37 m/s

[tex]s_{2} = v * t\\ s_{2}= 37 * 7 = 259m[/tex]

3rd Case: Deceleration

a = -15 m/s²

u = 37 m/s

v = 0 m/s

Therefore, using the equation of motion

[tex]v^{2} - u_{2} = 2as\\[/tex]

[tex]s = 0^{2} - 37^{2}/2 * -15 = 45.63m[/tex]

Therefore,

S = 27.38 + 259 + 45.63 m = 332.01 m

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An experiment to investigate the relationship between the applied force and the displacement of the spring, requires a spiral spring, two different masses and a meter ruler to measure the original length and displacement of the spring.

This experiment seeks to demonstrate Hooke's law, which states that  the applied force F is equal to a constant k, to a displacement or change in length x. Mathematically, F = kx.

To demonstrate this law, we need;

The set up appears as shown in the image attached. The natural length of the spring is first measured and recorded. The masses are now added gradually and the displacement of the spring is recorded each time.

A straight line graph is obtained when the force is plotted against the displacement within the elastic limit of the spring.

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To answer the question effectively, Jacob should use trail and error as a method. When doing so, he should be reducing the number of cars loaded in the train one after the other until he successfully make the train pull up the remaining cars.

For Jacob to answer this question and to find the number of cars that the train can pull up the hill, he should use a method know as trial and error. With the method, Jacob would want to decrease the number of cars loaded in the train one after the other, and should be pulling the train up after every trail.

The number of cars loaded in the train can be decreased by one for each case Jacob makes an attempt up to the time he successfully make the train pull up the hill.

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Answer:

B

Explanation:

Answer:

water

Explanation:

Answer: The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

Explanation: Hope this helps. : )

Answer:

1.125 m/s^2

Explanation:

Given:

To Find:

Formula used:

where,

v = final velocity

u = initial velocity

a = acceleration

S = Displacement

Let the acceleration be a.

Using the above formula, we have

60^2 = 0^2 + 2(a)(1600)

3600 = 3200a

a = 36/32

a = 9/8

a = 1.125 m/s^2

So, the acceleration is 1.125 m/s^2.

In order to find the time it takes, first let's convert the distance from miles per hour to feet per second: calculate the acceleration using Torricelli's equation

Then, let's :

Now, we calculate the time with the formula below:

Therefore the time required is 1.7 seconds.

Answer:

D is the correct answer

Explanation:

Helium-filled balloons rise in the air because the density of helium is less than the density of air.

Answer:

Omnivores generally occupy the third trophic level alongside meat-eating carnivores. Omnivores are a diverse group of animals.

Explanation:

Examples of omnivores include bears, birds, dogs, raccoons, foxes, certain insects, and even humans.

The horizontal displacement of the stunt diver from the base of the cliff is 33.9 m

The time of motion of an object is the time taken for the object to travel from its initial position to the final position.

The time taken for the stunt diver to travel down the given height is calculated as follows;

h = vt + ¹/₂gt²

where;

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 13 / 9.8)

t = 1.63 seconds

The horizontal distance travelled by the stunt diver is calculated as follows;

X = Vₓt

where;

X = 20 .8 m/s  x  1.63 s

X = 33.9 m

Thus, the displacement of the stunt diver from the base of the cliff is 33.9 m.

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Answer:

Option - d This is trick question, since the solar constant never change. The gravity of the Sun keeps the planets in their orbits at all times. They stay in their orbits, since there is no other force in the Solar System which can stop them. Yeah this might help. Add to brainliest please

Answer:

Therefore machine efficiency is 131.6%.

Explanation:

Data

work output = 500J

work input = 380J

M.E = ?

M.E = work output/work input × 100%

M.E = 500J/380J × 100%

M.E = 131.6%

Therefore machine efficiency is 131.6%.

There are three positive things about meditation:

Meditation helps you manage anxiety, stress, and depression.

There are three reasons you should not eat junk food:

Meditation can increase alertness and focus but extremes can lead to insomnia and other sleep disorders. I also found it high Meditation is the habitual process of training the mind to focus and redirect one's thoughts. Meditation is growing in popularity as more people discover its many health benefits. You can use it to increase awareness of yourself and those around you.

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Answer: 0.6 g /cm^3

Explanation:

Just plug in the value in the equation d=m/v and you will get the answer!