1. A lever system of velocity ratio 45 overcomes a load of 4500 N when an effort of 105 N is applied to it. Calculate:Its efficiency.​

Answer:

projectile motion

total time of flight= 2V° Sintheta / g

answer is 3second

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The acceleration of the runner is 0.12 m/s^2.

We have to note that the term acceleration would have to do with the rate of the change of the velocity of the object with time. Now we have to note that in this case, we would have to change the velocities of the body to the unit of meter per second.

Initial velocity =  29 km/h or 8 m/s

Final velocity = 31 km/h or 8.6 m/s

We then have that;

a = v - u/t

Then we can be able to substitute the values and have;

a = 8.6 - 8/5

= 0.12 m/s^2

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The distance the car travels before coming to a stop can be calculated using the equation d = (v^2 - u^2)/2a, where v is the initial velocity, u is the final velocity, and a is the acceleration.

What is acceleration?

Acceleration is the rate of change of velocity over time. It is defined as the rate at which an object's speed or direction changes with respect to time. Acceleration is a vector quantity, meaning it has both magnitude and direction.

The SI unit for acceleration is meters per second squared (m/s2). It is also commonly expressed in feet per second squared (ft/s2). Acceleration can be positive, negative, or zero. Positive acceleration occurs when an object increases its speed, and negative acceleration when it decreases its speed. Zero acceleration occurs when an object's speed remains constant.

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The final speed of the car is 25.6 m/s.

The distance travelled by the car is 82.84 m.

The final speed of the car is calculated by applying the first equation of motion as shown below.

v = u + at

where;

v = ( 18 m/s ) + ( 2 m/s² ) x ( 3.8 s )

v = 25.6 m/s

The distance travelled by the car is calculated as follows;

s = ut + ¹/₂at²

s = ( 18 x 3.8 ) + ¹/₂ ( 2 )(3.8²)

s = 82.84 m

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Installing an underfloor heating system in a situation where the electricity is generated by a gas-fired plant would not be advantageous.

Charge or electrical supply flow is what is referred to as electricity. It is an alternative fuel source, which means we obtain it by transforming other natural resources into energy supplies, such as carbon, dirty energy, hydrocarbons, and nuclear energy.

To create electricity, a turbine set converts mechanical energy into electrical energy. The heat produced by sources of energy such natural gas, carbon, nuclear reactors, biomass, petroleum, volcanic, and solar heat is employed to transform to steam, which powers the rotors of turbines.

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Answer:

In the reference system integral with the floor, the ball is subjected to the force of gravity pulling it downwards towards the floor and a normal force pushing it upwards to balance the force of gravity. The ball is also subjected to the centrifugal force pushing it outwards away from the center of the disk.

In the reference system integral with the disk and having its origin at the center of it, the ball is not subjected to any net force. The centrifugal force is balanced by a centripetal force pulling it towards the center of the disk.

In both reference systems, the ball has a combination of circular motion and linear motion. In the reference system integral with the floor, the ball is moving in a circular path due to the centrifugal force and is also moving away from the center of the disk. In the reference system integral with the disk, the ball is moving in a circular path with a constant speed.

To calculate the rotational velocity of the disc, we can use the formula v = r * w, where v is the rotational velocity, r is the radius of the disk and w is the angular velocity. Therefore, the rotational velocity of the disk is v = 0.5 m * w = 25m/s

Once the ball leaves the disk, the disk will no longer be balanced and will lose angular momentum, so it will slow down and eventually stop spinning. The motion of the disk will change from rotational motion to translational motion. The angular velocity of the disk will decrease to zero.

Several Kilometres below the earth at Sea level

.

The Steve’s peak speed after conversion from centimeter per second to kilometer per hour would be 2.6 km/h

The rate of change in distance over a certain period of time is the definition of speed. It has a distance by time dimension. You may calculate speed by multiplying the SI unit of length, which is meters, by the SI unit of time, which is seconds (seconds).

Multiplying a speed measurement in centimeters per second by the appropriate conversion ratio enables one to convert that speed measurement to kilometers per hour. You can convert using this simple method, which takes into account the fact that one centimeter per second is equivalent to 0.036 kilometers per hour:

kilometers per hour = centimeters per second × 0.036

                                 = 72.3 × 0.036

                                 =2.6 km/h

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To determine whether Daniel will be home before the storm hits, we need to determine the time it will take for the storm to reach Fort Collins and compare it to the time it will take for Daniel to reach home by bike.

Given:

Storm's speed = 25 km/hr = 25000 m/hr

Distance from Fort Collins = 75 km = 75000 m

Time of storm = distance / speed = 75000 m / 25000 m/hr = 3 hrs

If Daniel starts riding his bike home at 5:00pm, he needs to cover the distance from where he is to his home before the storm hits Fort Collins.

If he is able to maintain an average speed of 20km/h = 20000 m/h,

time = distance/speed = 75000 m/20000 m/h = 3.75 hrs

Since the storm will take 3 hours to reach Fort Collins and Daniel will take 3.75 hours to reach home by bike, he will be home before the storm hits.

Answer:

t = 1s is 44 m/s and 72 m/s^2

Explanation:

The distance covered by a car at a time t is given by x=20t+6t^4. To calculate the instantaneous velocity and acceleration when t=1s, we can use the formulas for velocity and acceleration, which are:

Velocity (v) = dx/dt = d/dt(20t+6t^4) = 20 + 24t^3

Acceleration (a) = dv/dt = d/dt(20 + 24t^3) = 72t^2

When t = 1s, we can substitute this value into the formulas for velocity and acceleration:

Velocity (v) = 20 + 24(1)^3 = 20 + 24 = 44 m/s

Acceleration (a) = 72(1)^2 = 72 m/s^2

Therefore, the instantaneous velocity and acceleration of the car when t = 1s is 44 m/s and 72 m/s^2, respectively.

Answer:

A real-life example of this scenario can be seen in the operation of a car. When a car is accelerating, the engine applies a force to the wheels, which in turn apply a force to the ground. The car and its contents (including passengers) have a certain mass, and the force applied by the engine must be sufficient to accelerate this mass to a higher velocity. However, if the car is carrying a heavy load, such as a trailer, the total mass of the car and the load is greater, so it will take more force to accelerate the combined mass to the same velocity as a car without a load.

Explanation:

Two objects can be accelerated by the same amount but with different forces if they have different masses. This is because force is equal to mass times acceleration (F = ma), so if the mass of one object is greater than the other, it will take more force to accelerate it by the same amount.

Another example could be a person trying to push a boulder and a beach ball. The person will apply the same force but the boulder will move less distance than the beach ball.

Answer:

About 600 watts

Explanation:

Work = force x distance = 30 x 10 x 10 = 3000 J. Power = Work done/time = 3000/ 5 = 600 watts.

Answer:slows it down

Explanation:when something drops it slow down

Answer: increase

Explanation: Air resistance is increases with velocity. When object fall , the velocity will increase. so, resistance will increase.

The average output power of the hot rod is 793,442.62 W.

The average output power is calculated by applying the following equation for average power.

P = Fv

where;

But force, F = ma

where;

P = ( ma ) x ( v )

P = ( m x v/t ) x ( v )

P = ( mv² ) /  ( t )

where;

t is the time of motion

The average output power of the hot rod is calculated as follows

P = ( 1200 x 110² ) / ( 18.3 )

P = 793,442.62 W

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Copernicus and the space station will be moving at 2 m/s after they have successfully docked.

According to the law of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant.

From  law of conservation of momentum, we can write:

Total initial momentum = Total final momentum

80000 kg × (- 10 m/s) + 20000 kg × (+ 50 m/s) = (80000 kg + 20000 kg) × (v m/s)

v = 2 m/s.

Hence, Copernicus and the space station will be moving at 2 m/s after they have successfully docked.

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The simplified expression for the coefficient of kinetic friction is 0.097.

The coefficient of kinetic friction is described as the ratio of the kinetic friction force of contacting surfaces to the normal force.

The simplified expression for the coefficient of kinetic friction is calculated as follows;

μkmgcosθ = mgsinθ − ma

m(μkgcosθ) = m(gsinθ − a)

μkgcosθ = gsinθ − a

μk= gsinθ − a/ gcosθ

where;

We have the given parameters:

g = 9.8 m/s²

a = 3.6 m/s²

θ=27.0∘

μk = (9.8 sin 27.0 ) - 3.6 / 9.8 cos27.0

μk = 0.097

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Answer:

The magnitude and direction of the net force acting on the ring is equal to the vector sum of the three forces acting on it. Based on the figure, the net force acting on the ring is equal to the vector sum of F1 minus F2 plus F3, and its magnitude is equal to the square root of (F1^2 + F3^2) minus (F2^2). The direction of the net force is the same as that of F1 minus F2 plus F3. This is because the three forces, F1, F2, and F3, all act concurrently and will add up to produce a single resultant, or net force.

The velocity of the skater relative to the billboard is 5.65 m/s east.

The velocity of the skater relative to the billboard is the measure of the change in position of the skater with respect to the billboard. That is, how fast is the skater moving away from the billboard.

Considering the signs of east and west direction, the formula for the relative velocity of the Skater is given as;

Vs/B = Vs - VB

where;

The magnitude of the velocity of the skater in west direction is given as;

Vs = V cos ( θ )

where;

Vs = 24.94 m/s  x cos ( 90 - 38 )

Vs = 24.94 m/s x cos ( 52 )

Vs = 15.35 m/s

The velocity of the skater relative to the billboard is calculated as follows;

west = negative direction

east = positive direction

Vs/B = -15.35 m/s  -  ( -21 m/s )

Vs/B = 5.65 m/s

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C. 200 m

The gravitational force between two objects is determined by the mass of each object and the distance between them. The gravitational force is inversely proportional to the square of the distance between the objects and directly proportional to the product of the masses. The gravitational force exerted by the ISS on the Crew Dragon is equal in magnitude but opposite in direction to the force exerted by the Crew Dragon on the ISS.

In the table provided, at a range of 200 m, the force on the Crew Dragon is 3.5 E-6 N and the force on the ISS is 3.5 E-6 N, showing that the forces are equal and opposite in direction. At other ranges, the force on the Crew Dragon and the force on the ISS are not equal, this means that the gravitational force at 200m is correct for their interaction.

a) the net force is acting on the figure as shown is 896 N

b) The direction of this net force that is acting on the object is  44.4°

We know that force is a vector quantity. As such, we have that singular force that would have the same  effect in magnitude and direction as the two forces acting together. We are to obtain the magnitude of this force and its direction.

We can tell that;

Vertical component = 500 sin 40 = 321.4 N

                                    400 sin 50 = 306.4 N

=      627.8 N

Horizontal Component =  500 cos 40 = 383 N

                                           400 cos 50 = 257 N

= 640 N

The resultant now is;

R = √(627)^2 + (640)^2

R = 896 N

The direction is; Tan-1 (627.8/640) = 44.4°

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Answer:

Explanation:

The speed of the second car after the collision can be found using the law of conservation of momentum. The law states that the total momentum of a system remains constant if no external forces act on it.The initial momentum of the first car is (15g)(22 cm/s) = 330 g cm/s to the right.

The initial momentum of the second car is (22g)(-31 cm/s) = -682 g cm/s to the left.

The total initial momentum of the system is 330 g cm/s - 682 g cm/s = -352 g cm/sAfter the collision, the final momentum of the first car is (15g)(-42 cm/s) = -630 g cm/s to the left.

The final momentum of the second car is (m)(v) where m is the mass of the second car and v is the speed after the collision.

The total final momentum of the system is -630 g cm/s + (m)(v) = -352 g cm/s (since it remains constant)Therefore, m*v = -630 g cm/s + 352 g cm/s = -278 g cm/sTo find v, we need to divide the momentum by the mass

v = -278 g cm/s / 22 g = -12.6 cm/sSo the speed of the second car after the collision is -12.6 cm/s to the left.

Answer: 2.04 Seconds

Explanation:Use t=(2v)/g = (2)(10)/9.8 = 2.04 seconds

the information provided (34 and 42 seconds) does not give the necessary information to determine the speed at which the BEYBLADE is spinning in miles per hour. To calculate the speed of the BEYBLADE we need to know the distance traveled in each rotation. Also, you mentioned that the beyblade makes 1 rotation in 34 seconds and 42 seconds, which is not correct, it should be 1 rotation per second in 34 seconds, and 1 rotation per 42 seconds.

Explanation:

It might seem like an obvious piece of any numerical system, but the zero is a surprisingly recent development in human history. In fact, this ubiquitous symbol for “nothing” didn’t even find its way to Europe until as late as the 12th century. Zero’s origins most likely date back to the “fertile crescent” of ancient Mesopotamia. Sumerian scribes used spaces to denote absences in number columns as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon. The Babylonians employed a number system based around values of 60, and they developed a specific sign—two small wedges—to differentiate between magnitudes in the same way that modern decimal-based systems use zeros to distinguish between tenths, hundreds, and thousandths. A similar type of symbol cropped up independently in the Americas sometime around 350 A.D., when the Mayans began using a zero marker in their calendars.

These early counting systems only saw the zero as a placeholder—not a number with its own unique value or properties. A full grasp of zero’s importance would not arrive until the seventh century A.D. in India. There, the mathematician Brahmagupta and others used small dots under numbers to show a zero placeholder, but they also viewed the zero as having a null value, called “sunya.” Brahmagupta was also the first to show that subtracting a number from itself results in zero. From India, the zero made its way to China and back to the Middle East, where it was taken up by the mathematician Mohammed ibn Musa al Khwarizmi around 773. It was al-Khowarizmi who first synthesized Indian arithmetic and showed how the zero could function in algebraic equations, and by the ninth century, the zero had entered the Arabic numeral system in a form resembling the oval shape we use today.

The zero continued to migrate for another few centuries before finally reaching Europe sometime around the 1100s. Thinkers like the Italian mathematician Fibonacci helped introduce zero to the mainstream, and it later figured prominently in the work of Rene Descartes along with Sir Isaac Newton and Gottfried Leibniz’s invention of calculus. Since then, the concept of “nothing” has continued to play a role in the development of everything from physics and economics to engineering and computing.

The magnitude of the constant braking force applied on the car is 13125 Newton.

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

The magnitude of the braking force is = 1750 kg × (30)² ÷ (2 × 60) Newton

= 13125 Newton.

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Answer:

[tex]\Delta P \approx 7.2 \ N/cm^2}[/tex]

Explanation:

To calculate the difference in pressure that Alexa exerts on the ground when wearing high-heeled shoes compared to when she has bare feet, we can use the following formula for pressure:

[tex]\rightarrow P=\dfrac{F}{A}[/tex]

Where:

First, let's calculate the pressure when Alexa is wearing high-heeled shoes:

F = 560 N (given)

A = 58 cm² (given)

[tex]P_h=\dfrac{560}{58}\\\\\\\\\therefore P_h \approx 9.655 \ N/cm^2[/tex]

Next, let's calculate the pressure when Alexa has bare feet:

F = 560 N (given)

A = 230 cm² (given)

[tex]P_b=\dfrac{560}{230}\\\\\\\\\therefore P_h \approx 2.435 \ N/cm^2[/tex]

Finally, let's calculate the difference in pressure:

[tex]\Delta P= P_h-P_b\\\\\\\\\Longrightarrow \Delta P =9.655-2.435\\\\\\\\\therefore \boxed{\boxed{\Delta P \approx 7.2 \ N/cm^2}}[/tex]

Therefore, the difference in pressure that Alexa exerts on the ground when wearing high-heeled shoes compared to when she has bare feet is approximately 7.2 N/cm².

Answer:

4 m/

Explanation:

Kinetic energy = 1/2 mv²

40 = 1/2 × 5 × v²

v² = (40 × 2) ÷ 5

v = sqrt(16) [square root]

v = 4

The force acting on the stools of the 88N and 112N.

What is meant by force?

A uniform plank of weight 120N rests on two stools as a midway between the stool.

(80 × 1.25) + (120 × 1.5) = B × 2.5

B = 112N

80 × 1.25) + (120 × 1.0) = A × 2.5

A = 88N

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.

Here is an example of a Python program that calculates the average calories burned for a person based on the equation provided:.

def calories_burned(age, weight, heart_rate, time):

   calories = ((age * 0.2757) + (weight * 0.03295) + (heart_rate * 1.0781) - 75.4991) * time / 8.368

   return calories

age = int(input("Enter your age in years: "))

weight = int(input("Enter your weight in pounds: "))

heart_rate = int(input("Enter your heart rate in beats per minute: "))

time = int(input("Enter the duration of your exercise in minutes: "))

print("You have burned an average of", calories_burned(age, weight, heart_rate, time), "calories.")

This program defines a function calories_burned() that takes four inputs: age, weight, heart rate, and time. The function then uses the provided equation to calculate the average calories burned and returns the result.

The program also prompts the user to enter their age, weight, heart rate, and time, and then prints the result of the calculation.

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