A concave mirror has a radius of curvature of 10 cm. Find the location an height of the image if the distance of the object is 8cm and the height of the object is 1.5 cm, using a scaled ray diagram

Answers

Answer 1

Answer: R=10
F=R/2
F=10/2=5
F=-5(CONCAVE MIRROR)
U=-8(CONCAVE MIRROR)
HEIGHT OF OBJECT=1.5
V=?
HEIGHT OF IMAGE=?
I/F=1/U+1/V
-I/5=-1/8-1/V
-1/V=-1/5+1/8
-1/V=-8+5/40
-1/V=-3/40
1/V=3/40
V=40/3

HEIGHT OF IMAGE/HEIGHT OF OBJECT =-V/U
HEIGHT OF IMAGE=40/3*1/-8*15/10
=-20/8
=-2.5

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on a boundary with corn oil. What is the angle of refraction, to the nearest degree, for this
light ray in the corn oil?

Answers

The angle of refraction of light ray in the corn oil is 20°.

What is angle of Refraction?

Angle of refraction is the angle the refracted light ray makes with the normal to the oil-air interface.

Given data:

Angle of incidence = 30°

Analysis:

The refractive index of oil is 1.47.

Using the formula for refractive index(n) = $(sini)/(sinr)$

1.47 = $(sin 30)/(sin r)$

1.47(sin r) = sin 30

sin r = $(sin 30)/(1.47)$

sin r = 0.3401

r = arc sin(0.3401)

r = 19.88° which is approximately 20°

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Answer:

its 20 degrese

Explanation:

A 1451 kg car is traveling at 48.0 km/h. Compared to 48.0 km/h, what would be the fraction of energy the car would have if it were traveling at 24.0 km/h.

Answers

We know, kinetic energy is directly proportional to the square of velocity, So, if kinetic energy is halved it's velocity will reduce to its 1/4th value

In short, Your Answer would be 1/4

Hope this helps!

Ke = (1/2)(m)(v^2)
Ke = (1/2)(1451kg)(48^2)
Ke = 1,671,552 joules

Ke = (1/2)(1451)(24^2)
Ke = 417,888

1/4th the energy

Which formula is used to find an object's acceleration?

Answers

Answer:

a = V/T

Explanation:

uh i think thats the answer let me know if im wrong

acceleration= change in velocity/time

On a highway curve with radius 30 m, the maximum force of static friction (centripetal force) that can act on a 1,423-kg car going around the curve is 8,127 n. what speed limit should be posted for the curve so that cars can negotiate it safely?

Answers

To determine the speed limit for the curve, we can use the centripetal force equation. The centripetal force (Fc) is given by the equation Fc = (m * v^2) / r, where m is the mass of the car, v is the velocity, and r is the radius of the curve.

In this case, the maximum force of static friction acting as the centripetal force is given as 8,127 N, the mass of the car is 1,423 kg, and the radius of the curve is 30 m.

We can rearrange the equation to solve for the velocity (v):

v = sqrt((Fc * r) / m)

Now, let's substitute the given values into the equation:

v = sqrt((8,127 N * 30 m) / 1,423 kg)

v ≈ 13.57 m/s

Therefore, to ensure that cars can negotiate the curve safely, the speed limit should be posted at approximately 13.57 m/s (or about 49 km/h). It's important to note that this is only a rough estimate, and other factors such as road conditions and driver behavior should also be taken into consideration when setting speed limits.

Final answer:

The speed at which a car can safely navigate a given curve is determined by the equation for centripetal force and the maximum static friction that prevents the car from slipping. Calculating this speed using the given force of static friction (8,127 N), mass of the car (1,423 kg) and the radius of the curve (30 m), we get a result of roughly 22.6 m/s or 81.4 km/h.

Explanation:

The problem involves finding the speed at which a car can safely navigate a highway curve without slipping, given a set radius and maximum force of static friction. This is a physics scenario involving centripetal force and friction. Centripetal force is the net force causing circular motion and static friction is the friction that acts to prevent the car from slipping off the road.

In this scenario, the maximum static friction matches the required centripetal force for a safe curve negotiation. Hence, the equation for centripetal force, Fc = mv²/r, applies here. In this expression, Fc is the centripetal force, m is the mass of the car, v is the velocity or speed, and r is the radius of the curve. Given that Fc = 8,127N, m = 1,423 kg, and r = 30 m, we can rearrange the formula to find v = √(Fc ∗ r / m).

Running the calculation, v = √((8,127 N * 30m) / 1,423 kg), results in a speed limit of roughly 22.6 m/s. However, as speed limits are not posted in meters per second, it is appropriate to convert the speed to kilometers per hour. Multiply the result by (3600 s/h / 1000 m/km) to convert it into km/h which gives a speed limit of about 81.4 km/h.

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Real world situation to explain the relationship between work and power

Answers

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-- Work = (force) times (distance).

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If you were trying to build a soundproof room, which of the following materials would you choose in order to absorb the most sound, based on the coefficient of absorption for each material? A. Heavy curtains B. Wood C. Concrete D. Carpet

Answers

The material that would absorb the most sound is Heavy curtains (Option A)

What material absorbs the most sound?

The effectiveness of a material in absorbing sound is typically measured by its coefficient of absorption.

The coefficient of absorption ranges from;

0 (perfectly reflective, no sound absorption) to
1 (perfectly absorptive, all sound is absorbed)

Based on the coefficient of absorption for each material listed, the best choice for sound absorption would be Heavy curtains.

Heavy curtains are often designed with sound-absorbing properties, and they can have a coefficient of absorption higher than other materials like wood, concrete, or carpet.

The ranking of the absorption of the materials are;

Heavy curtains (0.5) > Carpet (0.2) > Wood (0.05) > Concrete (0.02)

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