what observations can you make if the string are released in the trolley
​

Answer:

Explanation:

The centripetal acceleration of the race car is given by the formula:

a = v^2 / r

where v is the speed of the race car and r is the radius of the turn.

Substituting the given values, we get:

a = (27.5 m/s)^2 / 57.0 m = 13.3 m/s^2

So the centripetal acceleration of the race car is 13.3 m/s^2.

To find the coefficient of friction, we need to use the formula:

f = μN

where f is the force of friction, μ is the coefficient of friction, and N is the normal force.

The normal force is equal to the weight of the car, which we can calculate as:

N = mg

where m is the mass of the car and g is the acceleration due to gravity (9.81 m/s^2).

Assuming the mass of the car is 1500 kg, we get:

N = 1500 kg × 9.81 m/s^2 = 14,715 N

The force of friction is equal to the centripetal force required to keep the car moving in a circle:

f = ma = (1500 kg)(13.3 m/s^2) = 19,950 N

Substituting the values of N and f into the formula for friction, we get:

19,950 N = μ(14,715 N)

Solving for μ, we get:

μ = 1.35

So the coefficient of friction is 1.35.

The physical processes by which atoms rearrange during phase transformations in the solid state involve changes in the arrangement of the atoms in the lattice, which can be caused by changes in temperature, pressure, or both.

The physical processes by which atoms rearrange during phase transformations in the solid state involve changes in the arrangement of the atoms in the lattice.

This is typically done by changing the number of nearest neighbours of each atom or by introducing new lattice points in the solid structure. In some cases, atoms may even have to move from one position to another.

Common examples of phase transformations in the solid state include melting, recrystallization, and solidification.

Melting occurs when the thermal energy of the solid is increased and the atoms become mobile enough to break the bonds between them. This causes the solid to transition into a liquid phase.

Recrystallization occurs when the thermal energy of the solid is decreased, causing the atoms to return to their original positions and form a new, more ordered lattice.

Lastly, solidification is the reverse process of melting, where thermal energy is removed and the atoms return to their original positions in the lattice.

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The back emf at 2500 rpm if the magnetic field is unchanged is 100 V for the back emf in a motor is 72 V when operating at 1800 rpm.

The back emf in a motor is proportional to the speed of the motor. Therefore, we can use the following formula to determine the back emf at 2500 rpm:

E2 = E1 × (N2 / N1)

where E1 is the back emf at 1800 rpm, N1 is the speed at which the back emf was measured, E2 is the back emf at 2500 rpm, and N2 is a new speed.

Plugging in the values we get:

E2 = 72 V × (2500 rpm / 1800 rpm)

E2 = 100 V

Therefore, the back emf at 2500 rpm of the motor would be 100 V if the magnetic field is unchanged.

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The mass of the ball at a height of 3m above the ground with a potential energy of 120J can be calculated using the equation:

Mass = Potential Energy/Gravity * Height

Mass = 120J/(9.81m/s² * 3m)

Mass = 4.1 kg

Answer:

4 kg

Explanation:

Using,

Energy/ Work done = Force x Distance (Height)

E = F • s

But recall, that F = mg

Therefore,

E = m • g • s

Making mass (m), the subject of the formula

m = E / (g • s)

m = 120 / (10 • 3)

m = 120 / 30

m = 4 kg

But if g = 9.8 ms-¹

Then,

m = 120 / (9.8 • 3)

m = 120 / 29.4

m = 4.08 kg

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The blocks accelerate at the same charge for the reason that they're linked. The acceleration is a value between zero and g.

Acceleration is a physical concept that refers to the rate of change of an object's velocity with respect to time. When an object's velocity changes, either by speeding up or slowing down, it is said to be accelerating.

Acceleration plays an important role in many aspects of physics, from the motion of celestial bodies to the behavior of particles in a particle accelerator.  The magnitude of acceleration is the rate at which an object's velocity changes, and it is measured in units of meters per second squared (m/s^2) in the International System of Units (SI). There are several factors that can cause an object to accelerate, such as a force acting on it, a change in its direction of motion, or a combination of both.

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Greenhouse gases, Albedo , Orbital variations ,Solar radiation and Volcanic activity these are the factors that affect the temperature of the earth.

There are many factors that affect the temperature of the Earth, including the following:

Greenhouse gases: Certain gases, such as carbon dioxide, methane, and water vapor, trap heat in the Earth's atmosphere and cause the planet to warm up. As greenhouse gas emissions increase due to human activity, such as burning fossil fuels, the Earth's temperature is expected to continue to rise.

Albedo: This is a measure of how much light the Earth reflects back into space. When the Earth's surface is covered in snow or ice, it has a high albedo and reflects more light. When the Earth's surface is covered in dark vegetation or water, it has a low albedo and absorbs more light, which causes it to warm up. Changes in land use, such as deforestation, can also affect the Earth's albedo.

Orbital variations: The Earth's orbit around the sun changes over time due to gravitational interactions with other planets. These variations can affect the amount of sunlight that reaches different parts of the Earth and cause climate patterns to shift. For example, changes in the tilt of the Earth's axis can lead to changes in the seasons.

Solar radiation: The amount of energy the Earth receives from the sun varies over time due to changes in the sun's output and the Earth's position in its orbit. This can affect the Earth's climate, especially over long periods of time. For example, changes in solar radiation are thought to have contributed to past ice ages.

Volcanic activity: When a volcano erupts, it releases large amounts of gases and particles into the atmosphere. This can cause the Earth's temperature to drop temporarily by blocking sunlight. However, over longer periods of time, volcanic activity can also release greenhouse gases and cause the Earth to warm up.

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The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

The following are the characteristics of moving water as an energy source:

Water is an excellent resource for producing electricity since it is clean, renewable, and is available in many different forms. When water moves, it has the potential to generate energy, which can be harnessed in several ways to produce electricity. As a result, moving water is an excellent source of renewable energy, as it is available in many different forms and can be used in a variety of ways.The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

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The perimeter of the pool is approximately 206.85 feet if we use 3.14 as the approximation of the value of π.

In this case, the angle AOB is 360 degrees, so the arc length is:

arc length = (360/360) x 2π(25) = 50π feet

Finally, we can find the perimeter of the pool by adding up the lengths of the two semicircles and the arc AB:

perimeter = 2πr + 2r + arc length

perimeter = 2π(25) + 2(25) + 50π

perimeter = 50π + 50

Perimeter is a measurement of the distance around the edge of a two-dimensional shape, such as a square, rectangle, or circle. It is the sum of the lengths of all the sides that make up the shape. The perimeter is an important concept in geometry and is used to determine the amount of material needed to enclose or surround a shape, as well as to calculate the distance around a given route or path.

To find the perimeter of a shape, you simply add up the lengths of its sides. For example, if you have a square with sides that are each 5 units long, the perimeter would be 5 + 5 + 5 + 5 = 20 units. Similarly, if you have a circle with a radius of 10 units, the perimeter (also known as the circumference) would be 2πr or approximately 62.8 units.

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Complete Question: -

If AO is 50 feet, find the perimeter of the pool. (O is the center of the sector AOB. OA and OB are the diameters of two semi-circles.)

The probability that an average of 22 shields will absorb more than 17.1 J/kg is approximately 0.3085.

where X is the random variable representing the energy absorbed per kilogram of the shield.

To calculate this probability, we need to know the distribution of X.

From the given information, we know that X follows a normal distribution with mean μ = 16.8 J/kg and standard deviation σ = 0.6 J/kg.

Thus, we can standardize X as follows:

Z = (X - μ)/σZ ~ N(0, 1)

P(X > 17.1) = P((X - μ)/σ > (17.1 - μ)/σ)

                = P(Z > (17.1 - 16.8)/0.6)

                = P(Z > 0.5)

Using a standard normal table, we can find the probability that Z > 0.5 to be 0.3085 (rounded to 4 decimal places).

Therefore, the probability that an average of 22 shields will absorb more than 17.1 J/kg is approximately 0.3085.

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tThe speed of the 600 g glider just before impact was approximately 0.4 m/s.

To solve this problem, we need to use the conservation of mechanical energy, which states that the initial mechanical energy is equal to the final mechanical energy in a system.

Before the collision, the 250 g glider is stationary, so its kinetic energy is zero. The 600 g glider has an initial kinetic energy of:

KEi = ½ mv²

where;

After the collision, the two gliders move together as a single system, and the spring is compressed to a minimum length of 22 cm. At this point, all of the kinetic energy of the system has been converted into potential energy stored in the compressed spring.

The potential energy stored in a spring is given by:

PE = ½ kx²

where;

In this case, the spring is compressed by 30 cm - 22 cm = 8 cm = 0.08 m

from its equilibrium position, so the potential energy stored in the spring is:

PE = ½ kx² = ½ (15 N/m) (0.08 m)² = 0.048 J

Since the total mechanical energy is conserved, we can equate the initial kinetic energy of the 600 g glider to the final potential energy stored in the spring:

KEi = KEf + PE

where;

Substituting the expressions for KEi, KEf, and PE, we get:

½ mv² = 0 + 0.048 J

Solving for v, we get:

v = √(2PE/m) = √(2(0.048 J)/(0.6 kg)) = 0.4 m/s

Therefore, the speed of the 600 g glider just before impact was approximately 0.4 m/s.

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When students brush balloons against their wool sweaters or hair, electrons are moved from the wool or hair to the balloon. As a result, the balloon has a net negative charge, whereas the garment or hair, having shed negative charges, has a net positive charge.

The term "net" refers to the sum after both positive and negative costs have been deducted. So, if something has 321 positive charges and 319 negative charges, the overall charge is 321 - 319 = +2. The overall charge is 37 - 42 = -5 if it includes 37 positive charges and 42 negative charges.

Electrons are negatively charged, whereas protons are favourably charged. Atoms have an identical amount of electrons and protons and have a net charge of zero. This makes atoms always neutral.

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Draw the complete cycle of the wave by repeating the pattern of the peak, the equilibrium position, and the trough, with a distance of λ between each consecutive peak or trough. The number of cycles per second, or the frequency, should be 5.0 hertz.

What is Wave?

A wave is a disturbance that propagates through space and time, often transferring energy from one location to another without the physical transfer of matter. Waves can take many different forms, including sound waves, electromagnetic waves, and mechanical waves.

Draw a horizontal axis representing time, labeled in seconds or milliseconds.

Draw a vertical axis representing displacement or amplitude, labeled in centimeters or meters.

Choose a starting point for the wave, which represents the equilibrium position of the medium.

Draw the peak of the wave, which represents the maximum displacement of the medium from its equilibrium position. This should be 4.0 centimeters above the equilibrium position.

Draw the trough of the wave, which represents the minimum displacement of the medium from its equilibrium position. This should be 4.0 centimeters below the equilibrium position.

Determine the wavelength of the wave, which is the distance between two consecutive peaks or troughs. This can be calculated using the formula λ = v/f, where λ is the wavelength, v is the velocity of the wave, and f is the frequency. For a transverse wave on a string, the velocity is given by v = √(T/μ), where T is the tension in the string and μ is the linear mass density of the string.

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The correct option is A, If the length of the crank was doubled, you could pull up the water with the same work, but less force.

The term "crank" can have various meanings depending on the context. In the context of machinery or engines, a crank is a mechanical device that converts rotational motion into linear motion or vice versa. It typically consists of a rod with a crankpin that connects to a piston or other reciprocating part.In a different context, the term "crank" can refer to a person who holds unconventional or extreme views and insists on expressing them in a forceful or annoying way.

Such a person may be described as a "crank" or "crankpot." The term can also refer to someone who is mentally unbalanced or eccentric. Furthermore, in the context of illegal drugs, "crank" is a slang term for methamphetamine, a highly addictive stimulant that can cause serious health problems and addiction. It is usually sold in crystalline form and can be smoked, snorted, or injected.

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Complete Question: -

You are pulling water with a constant velocity from a well using a crank of lengthL . If the length of the crank was doubled, you could ...

A: pull up the water with the same work, but less force

B: pull up the pail with half the number of revolutions

C: exert double the torque while pulling up the pail with half the work

D: pull up the pail with half the work and half the force

E: pull up double the amount of water with the same work

F: exert four times the torque while pulling up the pail with the same work

Based on what you learned about the roller coaster ride, the following statements about energy transformations that are true are: A. Kinetic energy can be converted into several other types of energyC. A change in an object's speed is evidence that the object's kinetic energy is changing.

The process of energy transformation is the conversion of one form of energy into another. This term describes the scientific process by which energy, in various forms, is transformed to do work. Energy transformation occurs in every physical system in the universe.

Kinetic energy can be converted into several other types of energy.Kinetic energy is the energy of a moving object. The energy is converted into various types of energy, such as electrical and thermal energy, as a result of movement. In a roller coaster, kinetic energy is converted into potential energy as the train goes up the lift hill. The potential energy is converted back into kinetic energy as the train goes down the first drop.

A change in an object's speed is evidence that the object's kinetic energy is changing.Kinetic energy changes when an object's speed changes. If an object slows down, its kinetic energy decreases, while if it speeds up, its kinetic energy increases. On the roller coaster, as the train moves up and down the track, its speed varies, causing changes in its kinetic energy.

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Answer:

Explanation:

To calculate the torque exerted by the person on the diving board, we need to know the force exerted and the lever arm.

The force exerted by the person is the weight of their body, which can be calculated as:

F = mg

F = 65 kg x 9.81 m/s^2

F = 637.65 N

note: The acceleration of gravity "g" is therefore the result of gravitation (gravitational attraction) between the Earth and other celestial bodies, and of the centrifugal acceleration, due to the movement of the earth's rotation and its average global value is 9.81 ms -2.

The lever arm is the distance from the person to the pivot point, which is given as 1.5 m.

The torque (τ) can then be calculated as:

τ = F x d

τ = 637.65 N x 1.5 m

τ = 956.47 Nm

Therefore, the torque exerted by the person on the diving board with respect to the pivot point is 956.47 Nm.

The torque exerted by a force F at a distance r from the pivot point is given by the formula:

τ = F x r x sin(θ)

where θ is the angle between the force vector and the vector from the pivot point to the point where the force is applied.

In this case, the person's weight is the force being exerted on the board, and its magnitude is:

F = m x g = 65 kg x 9.8 m/s^2 = 637 N

The distance from the pivot point to the person is r = 1.5 m. Since the person is standing vertically, the angle between the weight vector and the vector from the pivot point to the person is 90 degrees, so sin(θ) = 1. Substituting the values into the torque formula, we get:

τ = 637 N x 1.5 m x 1 = 955.5 Nm

Therefore, the person is exerting a torque of 955.5 Nm on the diving board with respect to the pivot point.

Answer:

centripetal, normal

Answer:

Explanation:

When the elevator is accelerating downwards, the apparent weight of the person is reduced, and when the elevator is accelerating upwards, the apparent weight is increased.

First, we need to determine the actual weight of the person. We can do this by using the formula:

Weight = mass x gravity

where mass is the mass of the person and gravity is the acceleration due to gravity, which is approximately 9.81 m/s^2.

Weight = (598.900 N) / (9.81 m/s^2) = 61.048 kg

Now, when the elevator is not moving, the person is only experiencing the force due to gravity, which is:

Weight = mass x gravity = (61.048 kg) x (9.81 m/s^2) = 598.78 N

Therefore, the scale would read approximately 598.78 Newtons when the elevator is not moving.

The magnitude of power needed to keep the car traveling at a constant speed of 80 km/h would be  7 × [tex]10^4[/tex] watts.

The initial speed of the car is 95 km/h = 26.39 m/s, and the final speed is 65 km/h = 18.06 m/s. The change in speed over the 7.0 s interval is:

Δv = vf - vi = 18.06 m/s - 26.39 m/s = -8.33 m/s

The acceleration of the car can be found using:

a = Δv/t = -8.33 m/s / 7.0 s = -1.19 m/s^2

This is the deceleration of the car when it's in neutral. The force of friction acting on the car is:

F = ma = (1400 kg)(1.19 m/s^2) = 1666 N

To keep the car traveling at a constant 80 km/h = 22.22 m/s, a force equal in magnitude but opposite in direction to the force of friction must be applied. The power required to maintain this speed is:

P = Fv = (1666 N)(22.22 m/s) = 37000 W ≈ 3.7 × [tex]10^4[/tex] W

Therefore, the power needed to keep the car traveling at a constant 80 km/h is approximately 7 × [tex]10^4[/tex] watts.

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The absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m is 287 kPa

the absolute pressure on the bottom of the pool is 17.6 kPa.

Pressure is defined as the amount of force per unit area applied to an object's surface. Pressure may also be defined as a scalar amount of stress exerted on a surface that is perpendicular to the direction of the force. Pressure is frequently represented by the symbol p, which stands for pressure.

Given,

Length of the pool, l = 28 m

Width of the pool, w = 8.5 m

Depth of the pool, h = 1.8 m

The density of water,

p = 1000 kg/m³

g = 9.81 m/s²

Absolute pressure formula:

p = ρgh

Absolute pressure p is given by,

p = ρgh

p = 1000 kg/m³ × 9.81 m/s² × 1.8 mp

  = 17604 Pa

Then, Converting the answer to kPa,

1 Pa = 1 × 10⁻³ kPa⇒ 17604 Pa = 17.6 kPa

Therefore, the absolute pressure on the bottom of the pool is 17.6 kPa rounded to two significant figures.

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Everything but blue & orange would now be present in the spectrum of light observed.

Spectrum refers to a range of different wavelengths of electromagnetic radiation. Electromagnetic radiation is a form of energy that travels through space and includes different types such as radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each type of electromagnetic radiation has a different wavelength and frequency, and together they make up the electromagnetic spectrum.

The concept of spectrum is used in a variety of fields, including physics, astronomy, and telecommunications. The spectrum of electromagnetic radiation is essential for many technologies, such as radios and televisions, cell phones, and medical imaging devices, as they all rely on the transmission and reception of specific wavelengths of electromagnetic radiation.

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Complete Question: -

Imagine that the blue light and orange light from the source were blocked. What color(s) would now be present in the spectrum of light observed?

The average power developed by a diesel engine of a 400-Mg train increases the train's speed uniformly from rest to 10 m/s in 100 s along a horizontal track = 200 kW.

The first kinematic equation is v=v0+at , where v is the final velocity, v0 is the initial velocity, a is the constant acceleration, and t is the time

According to given information:

v = 10, v0= 0 , t= 100s, m=400

v=v0+at

10= 0+a(100)  

a= 0.1 m/s²

∑ F =ma  <==>  F= 400(10 ³ )(0.1) = 40(10 ³)N

Pavg = F. Vavg = 40(10 ³)(10/2) = 200 kW

It represents the typical quantity of work completed or energy converted per unit of time. When the context clearly indicates it, the average power is frequently referred to as "power".

The instantaneous power overrides the average power as time interval t gets closer to zero.

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An object's amplitude dramatically increases when the frequency of the applied forced vibrations matches the object's natural frequency. Resonance describes this behavior.

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The number and wattage of lamps required to illuminate the workshop would be approximately 8 lamps and 70 watts respectively.

To estimate the number and wattage of lamps required to illuminate a workshop space of 60x1.5 meters, we can follow these steps:

Calculate the area of the workshop:

Determine the total lumens required:

Adjust for the coefficient of utilization and luminous efficiency:

Adjust for space-height ratio and candle power depreciation:

Determine the number of lamps required:

Determine the wattage of each lamp:

Therefore, approximately 8 lamps with a wattage of 70 watts each would be required to illuminate the workshop space.

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The largest force exerted on an object by electromagnetic radiation is       d) The radiation is reflected back along its incident path.

The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR).  It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum. 

Electromagnetic waves, which are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. The electromagnetic spectrum is created at various wavelengths depending on the oscillation frequency. Electromagnetic waves move at the speed of light, in a vacuum. The oscillations of the two fields create a transverse wave in homogeneous, isotropic media when they are perpendicular to each other, perpendicular to the direction of energy and wave propagation, and perpendicular to each other.

The range of electromagnetic radiation's frequencies, along with their corresponding wavelengths and photon energies, is known as the electromagnetic spectrum.

The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵ hertz, or wavelengths between thousands of kilometres and a small portion of the size of an atomic nucleus. The electromagnetic waves that are contained within each of these bands have different names; starting at the low-frequency (long wavelength) end of the spectrum, these are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. This frequency range is divided into separate bands.

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Given the fact that the linear velocity of the ball is tangential to the circle then it is shown by vector B

When a ball flies out of a circular path, the direction of its tangential velocity is tangent to the point at which it leaves the circular path.

To visualize this, imagine a ball tied to a string and whirled around in a circle. As the ball is released, it will move away from the center of the circle in a straight line. At the moment it leaves the circular path, its velocity vector will be tangent to the circle, pointing in the direction of its motion.

If the ball is flying out of the circle in a clockwise direction, then its tangential velocity vector will point to the right. If it is flying out of the circle in a counterclockwise direction, then its tangential velocity vector will point to the left.

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Answer:

Solve for force:

Ff = UFn

Ff = 0.75(Fn)

Ff = 0.75(1515 + 1225 * g)

Ff = 20550N

Solve for acceleration:

F= ma

20550N = (1515 + 1225) a

a = 7.5m/s^2

solve for time:

a = d / t^2  --->  7.5m/s^2 = 18.5/ t^2  ----> t = 0.85s

solve for velocity final

Impulse = F * t = 20550N * 0.85s

mv^2 = Impulse = 17467.5

(1515 + 1125)v^2 = 17467.5

vf = 2.5m/s

Plug in stuff:

1515 * v1 + 1125 * (-18.3m/s) = (1515 + 1125) * 2.5m/s

v1 = 9.23

Note: I converted 41mph(v2) to 18.3m/s, which is negative because "westward" is in the negative direction.

Explanation: Inelastic collision

Extra: I'm guessing because the two cars slide, the only force acting on them is the force of friction(so it's our net force), hence the Fnet = ma.

we can't give a specific direction for the final momentum.

What is momentum?

Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity. Mathematically, momentum is expressed as:

Momentum (p) = mass (m) x velocity (v)

p = m x v

To solve this problem, we need to apply the law of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.

The initial total momentum of the system is:

p_initial = p_white + p_gray = 25 kg m/s - 30 kg m/s = -5 kg m/s

Since there are no external forces acting on the system, the total momentum of the system after the collision must also be -5 kg m/s. Therefore, the final momentum of the system is:

p_final = -5 kg m/s

The direction of the final momentum can be found by looking at the directions of the initial momenta. Since the white clay has positive momentum and the gray clay has negative momentum, we can say that the white clay is moving to the right and the gray clay is moving to the left before the collision.

During the collision, the two clays will exert forces on each other, causing them to change direction and possibly even break apart. Without more information about the collision, we can't say for sure what the direction of the final momentum will be. It could be to the left or to the right, or some combination of the two. Therefore, we can't give a specific direction for the final momentum.

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The average force exerted on the putty by the surface is 0 N this means that the putty experiences no net force and does not accelerate during the 0.30 s it takes to come to rest.

To answer this problem, we may apply the average force equation, which states that average force equals momentum change divided by the period during which the force occurs.

Initially, we must determine the putty's starting momentum. We may employ the momentum equation, which asserts that momentum equals mass times velocity. Because the putty is dropped from rest, its initial velocity is zero, as is its initial momentum.

The ultimate momentum of the putty must then be determined. The putty's final velocity is also zero since it comes to rest. As a result, the putty's ultimate momentum is similarly zero.

Finally, we can substitute the values we found into the equation for average force:

Average force = change in momentum/time interval

= 0 / 0.30

= 0 N

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The charge on the capacitor at 7.6 s after the switch is closed is 54.87 µC.

The charge on the capacitor can be calculated using the formula,

Q = Q₀(1-e^(-t/RC))

where Q₀ is the initial charge on the capacitor,

t is the time elapsed,

R is the resistance and

C is the capacitance.

Substituting the given values

Q₀ = 60 µC,

R = 10kΩ,

C = 2 µF, and

t = 7.6 s,

we get

[tex]Q = 60 µC(1-e^(-7.6/(10 \times 10³ \times 2\times 10^-6))[/tex]

   = 54.87 µC

Thus, the charge on the capacitor at 7.6 s after the switch is closed is 54.87 µC.

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