Rate of change of distance​

The formula used to calculate the energy released when a specific quantity of fuel is burned is Q = m × c × ΔT

We can use the specific heat formula to determine the amount of energy needed to increase the temperature of a known mass of a substance:

Q = m × c × ΔT

In the specific heat formula, Q stands for the energy transferred in joules, m for the mass of the substances in kilograms, c for the specific heat capacity in J/kg degrees C, and T for the temperature change in degrees Celsius.

The relationship between heat energy and temperature is varied in different materials, and specific heat describes how they interact. When heat energy is supplied to a substance, the temperature will vary by a certain amount.

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Given data:

* The weight of the rocket is 1470.39 N.

* The distance traveled by the rocket is 1522.64 m.

* The time taken by the rocket is 2.11 seconds.

Solution:

The velocity of the rocket in terms of the distance and time is,

The mass of the rocket from the weight is,

where g is the acceleration due to gravity,

Substituting the known values,

The kinetic energy of the rocket in terms of mass and velocity of the rocket is,

Thus, the kinetic energy of the rocket is 39.07 MJ.

The primary current of transformer is 9A, the secondary voltage is 63.75 V and the output power at 85% efficiency is 650.25 VA.

(a) Turns of primary coil (N₁) = 400

Turns of secondary coil (N₂) = 300

Current on secondary coil (I₂) = 12 A

Current on primary coil (I₁) =

= using transformer equation,

= N₁ × I₁ = N₂ × I₂

= I₁ = (300 ×12) / 400

=  I₁ = 9 A

(b) Voltage of primary coil (V₁) = 85 V

Current on secondary coil (I₂) = 12 A

Power on primary coil (P₁) =

= P₁ = V₁ × I₁

= P₁  = 85 × 9

= P₁ = 765 VA

However, if the efficiency of the transformer is 85% then,

= 85 = (P₂ / P₁ ) × 100

= 0.85 × 765 = P₂

= P₂ = 650.25 VA

(c) Voltage of primary coil (V₁) = 85 V

Current on secondary coil (I₂) = 12 A

Current on primary coil (I₁) = 9 A

Voltage on secondary coil (V₂) =

= using transformer equation,

= I₁ × V₁ = N₂ × I₂

= V₂ = (85 × 9) / 12

= V₂ = 63.75 V

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Answer:

SI unit for energy is Joules.  

in base units it will be:

1 J = 1 N·m = 1 kg·m²/s²

Answer:

I don't know how to get answer of this question

According to Ohm's law the current through circuit increases when resistance decreases. Thus as the resistance decreased to half, the current doubles from 3 A to 6A. Hence, option  C is correct.

Ohm's law states that, potential difference or voltage through a circuit is the product of current and resistance through the circuit. Hence, voltage is directly proportional to both current and resistance.

According to this law, V = IR. Thus, as resistance increases current decreases. It is given that the voltage is 12 V and current though a circuit is 3A, resistance will be 12/3 = 4 Ω.

If resistance reduces to half, that is to 2 Ω, then current will be

V/R = 12 / 2Ω = 6A.

Therefore, when resistance decreases to half, current will doubles . Hence, option C is correct.

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The primary voltage of the transformer is 8.33 V where the ratio of Np/Ns is 1.667 and the transformer is a step-up transformer.

(a) Voltage of secondary transformer (V₂) = 5 V

Current of secondary transformer (I₂) = 25 A

Current of primary transformer (I₁) = 15 A

Thus, the voltage of primary transformer (V₁) =

= using transformer equation,

= V₁ × A₁ = V₂ × A₂

= V₁ × 15 = 25 × 5

= V₁ = 8.33 V

(b) The ratio of Np/Ns =

= V₁ / V₂

= 8.33 / 5

= 1.667

(c) Since,

= 8.33 ≤ 25

= V₁ ≤ V₂

= transformer is a step-up transformer.

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The total distance moved by the dog is 28meters while the magnitude of the displacement is 4 meters. Moreover, The direction of the displacement is zero degrees.

In Physics, Distance refers to the motion of an object in any direction while displacement is defined as the total distance traveled in a particular direction.

If a dog walks 12 meters to the east and then 16 meters back to the west, then the total distance covered will be calculated as:

Distance moved = 12m (East) + 16m (West)

Total Distance moved = 28 meters [East + West]

Now let's calculate the displacement.

Distance covered towards east (fro origin) = + 12 meters

Distance covered towards west (fro origin) = - 16metres

Displacement = -16 + 12

Displacement = - 4meters (-ve sign represents direction)

|D| = 4 meters

Thus, the magnitude of the displacement is 4 meters

Since the direction of movement is along the x-axis, therefore the direction is zero degrees.

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The complete question is:

A dog walks 12 meters to the east and then 16 meters back to the west.

For this motion, what is the distance moved?

What is the magnitude and direction of the displacement?

ANSWER

b. adding to the internal energy only

EXPLANATION

The 1st Law of Thermodynamics states that the total change in the internal energy of a system, ΔU, is equal to the sum of the net heat transfer into the system, Q, and the net work done on the system, W,

As we can see in this equation, we can increase the internal energy of a system by adding heat to the system or doing work to the system.

So, if heat is added to a system it will increase the internal energy of the system.

Hence, the heat goes into adding to the internal energy only.

We have to use Newton's Second Law

Where m = 1,350 kg and a = 4.7 m/s2.

Answer:

Mass = 7.65kg

Force = 75N

Explanation:

Energy Potential = mass • gravity • height

1500 J = mass • 9.8 • 20

1500 J/(9.8 m/s/s •20 m) = mass

7.65 kg = mass

Force = mass • acceleration

Force = 7.65 • 9.8m/s/s

Force = 75 N

We could also do 1500J/20m as gravity is divided in one and then multiplied again

Force = (1500J • 9.8m/s/s)/(9.8m/s/s • 20m)

Force = 1500J/20m

Force = 75N

this makes sense as Energy is defined as Newton metres  as seen by the work formula, Work = Force • distance

Answer: Mass of the rock= 7.65g

              Force exerted on the ground = 74.9N

Explanation:

potential energy = mass × gravity ×height

1500J = y × 9.8 × 20

1500J=196y

1500 ÷ 196 = y

y= 7.65g

force= mass × gravity

         = 7.65 ×9.8

        =74.9N

Given:

The height from the ground is h = 350 m

The gravitational potential energy is GPE = 120,200 J

To find the mass of the hiker.

Explanation:

The mass of the hiker can be calculated by the formula

Here, g =9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the mass of the hiker will be

Thus, the mass of the hiker is 35.044 kg

Greater momentum causes a ship carrying heavy cargo to take more time to come to a stop than an identical ship carrying lighter cargo if both ships are travelling at the same speed.

Momentum is defined as a product of the mass of a particle and it's velocity. It is vector quantity i.e. it has both magnitude and direction. If an object is moving and has mass, it has momentum. If an object is stationary, it has no momentum. So, from this we can say that the ship carrying heavy cargo take more time to come to a stop than an identical ship carrying lighter cargo.

Mathematically,

P=mv

where P= momentum

m=mass

v=velocity

It's SI unit is kg-m/s

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Answer:

Explanation:

In order to find the energy in the elastic potential energy store of the spring we use the formula

[tex]U = \frac{1}{2} k Δ {x}^{2} \\ [/tex]

where

U is the elastic potential energy in Joules

k is the spring constant in N/m

Δx is the deformation(stretch or compression) of the spring in metres

from the question

k = 4 N/m

Δx = 1.1 m - 1 m = 0.1 m

We have

[tex]U = \frac{1}{2} \times 4 \times ( {0.1})^{2} \\ = 2 \times 0.01 \\ = 0.02[/tex]

We have the final answer as

Hope this helps you

In a vacuum x-rays and microwaves have the same velocity but different wavelengths.

Correct option: D. the same

Answer:

the correct objective is C

The range of the football is 20m if air resistance is ignored.

When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's center (we assume the particle stays close to the surface of the globe).

Such a particle's motion is known as projectile motion, and its route is referred to as a projectile.

Initial speed of the football; u =15 m/s.

angle of projection;θ = 30 degrees.

Then, horizontal range of the football is;

R = u²sin2θ/g

= (15)²sin(2×30°)/10 m.

= 20 m. (approx.)

Hence, the  horizontal range of the football is 20m.

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A football is kicked with an initial speed of 15 m/s and an angle of 30 degrees above the range of the football is  field 39.76 m

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time it is thus a scalar quantity.

Range = u²sin 2θ/g

Range = 15²sin 60/9.8

Range = 39.76 m

A football is kicked with an initial speed of 15 m/s and an angle of 30 degrees above the range of the football is  field 39.76 m

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Answer:

70.3 kg

Explanation:

The MASS will be the same on the moon as on earth....but the eight is different

gravity of moon =   gravity of earth/6 = 9.81 / 6    m/s^2

F = ma

F/a = m  = 115 N / ( 9.81/6  m/s^2) = 70.3 kg mass

Answer:

Explanation:

Given:

g = 9.8 m/s²

g₁ = g / 6 = 9.8 / 6 ≈ 1.6 m/s²

F = 115 N

____________

m - ?

m  = F / g₁

m = 115 / 1,6 ≈ 71.9  kg

The power dissipated if the resistor A is connected to a 4.00 V battery that has negligible internal resistance is 1.42 W

According to Ohm's law,

V = IR

V = Voltage

I = Current

R = Resistance

For resistor A,

I1 = 0.5 A

V1 = 2.55 V

R1 = 2.55 / 0.5

R1 = 5.1 Ω

I2 = 1 A

V2 = 3.11 V

R2 = 3.11 / 1

R2 = 3.11 Ω

I3 = 2 A

V3 = 3.77 V

R3 = 3.77 / 2

R3 = 1.885 Ω

I4 = 4 A

V4 = 4.58 V

R4 = 4.58 / 4

R4 = 1.145 Ω

R = ( R1 + R2 + R3 + R4 ) / 4

R = ( 5. + 3.11 + 1.885 + 1.145 ) / 4

R = 2.81 Ω

P = V² / R

P = Power

V = 4 V

P = 4² / 2.81

P = 1.42 W

Therefore, the power dissipated if it is connected to a 4.00 V battery that has negligible internal resistance is 1.42 W

The given question is incomplete. The complete question is:

The voltage drop Vab across each of resistors A and B was measured as a function of the current I in the resistor. The results are shown in the table attached. What is the power dissipated in A if it is connected to a 4.00 V battery that has negligible internal resistance?

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The value of the net force is 0 N, and these forces are referred to as balanced forces.

The net force of an object is the sum of all the forces acting on object. The net force on an object gives the resultant force on the object.

The net force on an object is given by the sum of all the forces acting on a particular direction, like sum of the upward forces and sum of the horizontal forces.

Mathematically, the formula for net force on an object is given as;

F(net) = Fₓ₁ - Fₓ₂

where;

F(net) = Fy₁ - Fy₂

The net force acting on the object is calculated as follows;

F(net) vertical force = 50 N - 50 N = 0

F(net) vertical force = 30 N - 30 N = 0

Thus, the object is in state of equilibrium since all the forces acting on the object are balanced.

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The greatest number of beats your heart can pump in one minute is option B: Heart Rate.

Your heart beats on average between 60 to 100 times per minute for adults, which is what is known as your heart rate.

Your body adjusts your heart rate naturally to match what you're doing or what's going on around you. Because of this, your heart rate increases at times of activity, excitement, or fear and decreases during times of rest, serenity, or comfort.

Note that your heart rate is a crucial sign of your general health. A high or slow heart rate may indicate a cardiac condition or other health issues. Having the ability to feel your heartbeat all around your body may also help doctors identify medical issues.

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Answer:

C

Explanation

Maximum Heart Rate

Using the concepts of spring, we got that the spring will stretch to d) 20 cm  if the block's weight on the strong spring is doubled.

When a block is attached on the spring ,a tension will generate on the spring which actually helps the block to remain suspended with the string.

Gravity tries to attract the block towards the surface and tension tries to remain the block with the spring. When the weight is doubled, to hold the same block on the spring, more tension will generate. Due to that spring will expand further more in downward direction.

So when weight is doubled, then spring will be expanded by another 10cm means total length of expansion of string will be 20cm.

Hence, for a strong spring is stretched 10 cm by a suspended block. if the block's weight is doubled, the spring will stretch to d)20cm

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The correct answer is option C.

Protostars are far brighter than typical stars because of their large surface area.

Generally, newly born stars or young stars are called protostars.

In other words, protostars are characterized as giant balls or clouds of dust and gases which gradually transform into a star over the years.

These stars have very large surface area at their early stage of formation because they keep collecting gaseous cloudy mass from their parent star due to their huge mass and large surface area.

Most protostars are going through their early phase evolution called stellar evolution.

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Answer:

transverse waves.

Explanation:

The meter per seconds per second (m/s²) is the SI unit of measurement used to describe an acceleration unit.

A rate at which position and velocity of velocity change over time is referred to as acceleration. When anything starts moving faster or slower, it's referred to as accelerating. The rate at which an object's velocity with regard to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of a net force on the object determines the direction of its acceleration.

Acceleration refers to the rate at which velocity changes over a predetermined amount of time. By divide a change in velocity even by change in time, acceleration is calculated. The acceleration of the object is equal to the net force exerted on it divided only by mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item as well as the net force acting on are known, the acceleration of that object can be determined using this equation for acceleration.

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A. The SI unit of force is the newton, symbol N.
b. The SI unit for distance is the meter (m)
c. The SI unit of work is joule (J). 
or Sometimes, newton-metre (N-m) is also used for measuring work.

In the space of 30 seconds, a freight train moving at 60 km/h passes a light post. The train is 500 meters long.

The first person to calculate speed by accounting for both the distance travelled and the amount of time required was the Italian physicist Galileo Galilei. Galileo described speed as the distance travelled in a unit of time.

The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined.

Miles per hour (mph), kilometers per hour (km/h), and meters per second (m/s) are the three most popular speed units (mph). The distance an object covers in a given amount of time is its speed. Speed equals distance x time is the speed equation.

Speed is 60x (5/18) m/s, or 50/3 m/s, and time is 30 seconds. Distance (train length) = speed x time = 50/3 m/s x 30 s = 500 m. 

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The wall applies a force of 50 N in the opposite direction. Option C

According to the Newton third law, action and reaction are equal and opposite. We know that when a body exerts a given magnitude of force on a surface, the surface would also a force of equal magnitude back on the surface but the force would now be acting in the opposite direction.

This force that is exerted by the recipient of the force is what we call the reaction force. We are told here that; Howard leans back against a wall with 50 N of force. We are now going to look at the magnitude and the direction of the forces.

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Answer:

The wall applies a force of 50 N in the opposite direction.

Explanation:

Answer:

below

Explanation:

The slope of the  position-time graph is the velocity at any point in time

Answer:

The density of  putty 2 g/cm³

Explanation:

Given:

V₀ = 25 ml = 25 cm³

V = 29 ml = 29 cm³

m = 8 g

______________

ρ - ?

The density of  putty:

ρ = m / (V - V₀)

ρ = 8 / (29 - 25) = 8 / 4 = 2 g/cm³

Given that the mass of the bike and cyclist is m = 75 kg and the velocity is v = 6 m/s. The height is h= 0 m

Mechanical energy is the sum of kinetic energy and potential energy.

The kinetic energy is given by the formula

The potential energy is given by the formula,

Here, g = 9.8 m/s^2 and is the acceleration due to gravity.

The mechanical energy will be