(dfrac{1}{4piepsilon_0}). What is the electric potential $V_{tot}$ at the center of the square? Make the usual assumption that the potential tends to zero far away from a charge. Express your answer in terms of $q,d,$ and appropriate constants. What is the contribution $U_{2q}$ to the electric potential energy of the system, due to interactions involving the charge […]

# Category Archives: Physics Q&A

This question explains the method to calculate the total positive charge inside the nuclei of any gas. Every gas has a different positive charge inside its nucleus and the total number of protons also differs for every gas. The number of protons is called the atomic number, which differentiates all the elements of the periodic […]

– An oil pump of density $rho$ = 860 kgm^3 with a volume flow rate of V = 0.1 m^3s is consuming 44 kW of power while it pumps the oil out with a pipe having inner diameter to be 8 cm and outer diameter to be 12 cm. Find out the mechanical efficiency of […]

This problem aims to familiarize us with velocity and its kinds, such as instantaneous velocity, and average velocity. The concepts required for this problem are as mentioned, but it would be helpful if you are familiar with distance and speed relations. Now the instantaneous velocity of an object is defined as the rate of change […]

This problem aims to find the maximum height of a golf ball that has been hit in a projectile manner at an angle of $25.0$ and covering a range of $305.1 m$. This problem requires the knowledge of projectile displacement formulas, which include projectile range and height. Projectile motion is the term for the movement […]

This question aims to find the tension in the string when a body of mass with weight $w$ is suspended from it. Figure 1 shows the two formations of suspension. The question is based on the concept of tension. Tension can be defined by the force exerted by the string or cord when a body […]

This problem aims to familiarize us with the projectile motion of an object where a coin is thrown in a dish with some horizontal velocity. This problem requires the concepts of projectile motion, momentum, and complementary angles. Now, projectile motion is a type of motion in which an object is thrown or tossed into the […]

This article aims to find the acceleration of the aircraft. The article uses the equation of kinematics. Kinematic equations are a set of equations that describe the motion of an object with constant acceleration. Kinematic equations require knowledge of derivatives, rate of change, and integrals. Kinematics equations link five kinematics variables. Displacement $(denoted : by : Delta x)$ […]

The main objective of this question is to find the total potential energy for an object in British thermal unit Btu. This question uses the concept of Potential energy. Potential energy is indeed the power that an object can store due to its position in relation to other things, internal tensions, electric charge, or even […]

Find the total mass occupied by the block of ice. If the worker quits moving at the end of 5s, how long does the block move in the next 5s? This problem aims to familiarize us with the applied force and the acceleration of a moving body. The concepts required to solve this problem are from […]

After time t, the following is the relation that represents the volume V of water that remains in the tank as per Torricelli’s Law.[{5000left(1-frac{t}{40}right)}^2=V, where 0le tle 40] As the water is draining from the tank, calculate its rate after (a)5min and (b)10min. Also, find the time at which the rate of water draining from the tank […]

This article aims to find the time it takes the workers to reach the piano before it reaches the bottom of the ramp. This article uses the concept of determining the acceleration due to gravity and the length of the ramp. Gravitational acceleration is the acceleration gained by an object due to the force of gravity. Its SI unit is $ […]

[ v(t) = 3t -8, 0 leq t leq 3 ] (a) Find the displacement. (b) Find the distance traveled by the particle during the given time interval. The aim of the question is to understand how to calculate the displacement and the distance covered by the moving particle in the given velocity and the […]

Find the ideal efficiency of the heat engine. Utilize $gamma = 1.40$. The Dodge Viper GT2 engine has a compression ratio of $9.6$. With this increase in the compression ratio, how much does the ideal efficiency increase? This problem aims to familiarize us with ratios and efficiency. The concept required to solve this problem is […]

– In milliseconds, how long does it take for a sound wave to vibrate at a frequency at 784 Hz, or the pitch of the G5 on a piano? – What’s the wavelength of an acoustic source one octave greater than the uppermost note? The main objective of this question is to calculate the time […]

The aim of this question is to develop an understanding of the reactance of capacitors and inductors. It also covers the concept of the resonance frequency. The reactance of an inductor against the flow of alternating current can be computed using the following formula: [ X_{ L } = omega L ] The reactance of […]

The aim of this question is to understand how to implement and apply kinematic equations of motion. Kinematics is the branch of physics dealing with objects in motion. Whenever a body moves in a straight line, then the equations of motion can be described by the following formulae: [ v_{ f } = v_{ i […]

[ F_a = 4000 N ] – The angle between Fa and line L is $theta_a = 45^{circ}$. – The angle between Fb and line L is $theta_b = 35^{circ}$. The question aims to find the 2nd force exerted on the housing unit by a snowcat in Antarctica, and the sum of both forces’ magnitude […]

The main objective of this question is to find the speed of the disc when it is released. This question uses the concept of circular motion. In a circular motion, the motion direction is tangential and constantly changing, but the velocity is constant.The force necessary to vary the velocity is always perpendicular to the motion […]

The aim of this question is to develop a concrete understanding of the key concepts related to vector algebra such as magnitude, direction, and the dot product of two vectors in cartesian form. Given a vector $ vec{ A } = a_1 hat{ i } + a_2 hat{ j } + a_3 hat{ k } […]

The aim of this question is to understand the rate of change in volume or rate of change of mass. It also introduces the basic formulae of volume, area, and volumetric flow rate. The mass flow rate of a fluid is defined as the unit mass passing through a point in unit time. It can […]

This problem aims to find the velocity of a car running on a curved surface. Also, we are to find the coefficient of friction between the car’s tires and the road. The concept required to solve this problem is related to introductory dynamic physics, which includes velocity, acceleration, coefficient of friction, and centripetal force. We […]

This question aims to develop an understanding of the Pythagorean theorem and basic rules of differentiation. If we have a right triangle, then according to the Pythagorean theorem the relation between its different sides can be described mathematically with the help of the following formula: [ ( hypotenuse )^{ 2 } = ( base )^{ […]

The question aims to find if a plane can land on a small tropical island if the runway is shorter than a kilometer. The question depends on the concept of 3rd equation of motion. The 3rd equation of motion yields final velocity given a uniform acceleration and initial velocity over a given distance. The formula for […]

This guide aims to find the change in length of the steel deck of the span when the temperature increases from – 5.0 ° C to 18 ° C. The Humber Bridge in England has the longest single span of 1410 m in the world. Linear thermal expansion is defined as the increase in the […]

This question aims to determine the depth of a tank given the density of liquid, height, and width of the tank. This article uses the concept of force exerted by the liquid on the walls of the tank. The magnitude of hydrostatic force applied to the immersed surface is given by: [F = P_{c}A ] Expert Answer The depth […]

This problem works to familiarize us with the weight of objects underwater. The concept required to solve this problem includes the force density formula and the Buoyant force. Buoyancy, more commonly known as upthrust, is an upward force exercised by a fluid that resists the weight of a partly or fully submerged object. In simple […]

An airplane having a speed of $600$ miles per hour is flying at an altitude of $5$ miles in the direction of an observer as per the figure. What will be the rate at which the angle of elevation is changing when the angle of observation $theta$ is: $a)$ $theta = 30°$ $b)$ $theta = […]

This question aims to find the distance a basketball player runs from rest and moves with speed 6.0 m/s. The article uses an equation of motion to solve for unknown values. Equations of motion are mathematical formulas that describe a body’s position, velocity, or acceleration relative to a given frame of reference. If the position of […]

The question aims to find the tension in a rope having some weight in different conditions when the box is at rest, moving with constant velocity, and moving with some value of speed and acceleration. Tension is defined as the force transmitted by a rope, string, or wire when pulled by forces acting from opposite sides. The pulling force is directed […]

At what rate is the flywheel spinning when the power comes back on? How long after the beginning of the power failure would it have taken the flywheel to stop if the power had not come back on, and how many revolutions would the wheel have made during this time? The question aims to find […]

In the hose. In the nozzle. This problem aims to familiarize us with the relationship between flow rate and speed of a liquid from a specific cross-sectional area. The concept required to solve this problem is as mentioned, but it would be a plus if you are familiar with Bernoulli’s principle. Now the flow rate […]

The aim of this question is to utilize the equations of motion for solving 2D motion-related problems. The speed is the rate of change of distance s with respect to time t: […]

This problem aims to brief the concepts of attractive and repulsive forces between two point charges having the same magnitudes. This problem requires the knowledge of field forces, Coulomb’s law, and the Law of conservation of energy, which is briefly explained in the solution below. Expert Answer Coulomb’s law states that the maximum force between […]

Find $theta(t)$ at an arbitrary time t for uniform circular motion. Present the answer in terms of $omega$ and t. Find position vector r at time. Present the answer in terms of $R$ and unit vectors x and y. Find the formula for the position vector of a particle that starts with $ (that:is, (x_ […]

The main objective of this question is to find the amplitude of the oscillating block when the total energy gets doubled.This question uses the concept of simple harmonic motion and the total mechanical energy of simple harmonic motion. The total mechanical energy of the simple harmonic motion is equal to the sum of total kinetic […]

Calculate the work done by the customer on the cart as she drives down a 50m long slide. What is the net work done on the cart? Explain. The customer goes down the next slide, moving horizontally and keeping the same speed as earlier. If the friction force doesn’t alter, would the customer’s devoted force be […]

If the axis is passing through mass A in the direction perpendicular to the page, calculate its moment of inertia with the proper unit and up to two significant figures. If the axis is passing through masses B and C, calculate its moment of inertia with the proper unit and up to two significant figures. […]

Figure (1): Arrangement of Bodies Where, m1 = m2 = 3.0 kg, m3 = 4.0 kg The aim of this question is to grasp the concept of Newton’s law of gravitation. According to Newton’s law of gravitation, if two masses (say m1 and m2) are placed at some distance (say d) from each other attract each other with an equal and opposite […]

Find the average radiation pressure (Pascal and atmospheric pressure) of: the part that completely absorbs the ground. the part that completely reflects the ground. This question aims to find the average radiation pressure. Radiation pressure is actually mechanical pressure that is exerted on any surface caused by the exchange of momentum between an object and […]

This question aims to find the width of the oil film required for a strong reflection of green light with 500nm of wavelength. The basic concepts required for this question are reflection, refraction, and wavelength of different light colors. Refraction is the phenomenon in physics in which light changes its direction when it passes from […]

How long after the release of the first stone does the second stone hit the water? What was the initial speed of the second stone? What is the speed of each stone as it hits the water? This question aims to find the time of the stone as it hits the water, the initial speed […]

The main objective of this question is to calculate the velocity of the diffuser at the exit. This question uses the concept of energy balance. The energy balance of the system states that the energy entering the system is equal to the energy leaving the system. Mathematically, the energy balance can be represented as: [ […]

Calculate the minimum frequency of photon that can break a Hydrogen bond. Calculate the maximum wavelength of a photon that can break a Hydrogen bond. The question aims to find the minimum frequency of a photon and its maximum wavelength that can break a Hydrogen Bond of a protein molecule. The concepts needed to solve […]

This question aims to calculate for these values: the speed of the blue dot that has been painted on the tread of the rear tire when it is 0.80 m above the road, the angular speed of the tires, and the speed of the blue dot when it is 0.40 m above the road. Speed […]

– Calculate the power needed to function the ski lift. – Calculate the power needed to accelerate this ski lift in 5 s up to the speed of its operation. The first objective of this question is to find the power required to operate the ski lift by first finding the work done as the […]

This question aims to find the apparent depth of a fish when it is floating motionless in the water and also the apparent depth of its image forming in the mirror at the bottom of the tank. The concepts needed to solve this question are related to refraction in water. Refraction occurs when a light […]

The question aims to calculate the kinetic energy of a flea whose mass is $0.50 mg$ and has attained the height of 30 cm, provided that there is no air resistance. The kinetic energy of an object is defined as the energy it has acquired due to its motion. In other terms, this can also […]

– Without causing the car to skid off, calculate the friction Force action on the car while taking the turn. This question aims to find the friction force acting on the car while it is taking a turn on an unbanked curve. The basic concept behind friction force is the centrifugal force that is acting […]

This question aims to find the power dissipated by a drag force when velocity is kept constant. Drag force is a force experienced by any object moving with a certain velocity. If objects do not experience any kind of force, then they will be moving like a breeze. Drag force quadratically increases with the velocity. […]