A spring has a natural length of 20cm. If a 25-N force is required to keep it stretched to a length of 30 cm, how much work is required to stretch it from 20 cm to 25 cm?

Answers

Answer 1

Answer: First, we use Hooke's Law to calculate the spring constant, k:
F = kx
k = 25 / (0.3 - 0.2)
k = 250 N/m

Work = 1/2 kx²
W = 1/2 x 250 x (0.25 - 0.2)²
W = 0.3125 Joule

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Rank in order, from largest to smallest, the electric field strengths E1, E2, E3, and E4 at the four labeled points in (figure 1). a) E1 > E2 > E3 > E4 b) E4 > E3 > E2 > E1 c) E2 > E1 > E4 > E3 d) E3 > E2 > E1 > E4

Ann (mass 50 kg) is standing at the left end of a 15-m-long, 500 kg cart that has frictionless wheels and rolls on a frictionless track. Initially both Ann and the cart are at rest. Suddenly, Ann starts running along the cart at a speed of 5.0m/srelative to the cart.How far will Ann have run relative to the ground when she reaches the right end of the cart?
Express your answer with the appropriate units.

Answers

Answer:

13.5 m

Explanation:

M = Mass of cart = 500 kg

m = Ann's mass = 50 kg

$v_m$ = Velocity of Ann relative to cart = 5 m/s

$v_M$ = Velocity of Cart relative to Ann

As the linear momentum of the system is conserved

$Mv_M+mv_m=0\n\Rightarrow v_M=-(mv_m)/(M)\n\Rightarrow v_M=-(50* 5)/(500)\n\Rightarrow v_M=-0.5\ m/s$

Time taken to reach the right end by Ann

$Time=(Distance)/(Speed)\n\Rightarrow Time=(15)/(5)=3\ s$

Distance the cart will move in the 3 seconds

$Distance=Speed* Time\n\Rightarrow Distance=-0.5* 3=-1.5\ m$

The negative sign indicates opposite direction

Movement of Ann will be the sum of the distances

$15+(-1.5)=13.5\ m$

The net movement of Ann is 13.5 m

All atoms of the same element must have the same number of

Answers

Explanation:

Atomic number is defined as the total number of protons present in an element.

Each element of the periodic table has different atomic number because each of them have different number of protons.

For example, atomic number of Na is 11, and atomic number of Ca is 20.

On the other hand, atomic mass is the sum of total number of protons and neutrons present in an atom.

For example, atomic mass of nitrogen is 14 that is, it contains 7 protons and 7 neutrons.

Thus, we can conclude that all atoms of the same element must have the same number of protons.

Answer: Protons

Explanation: The number of protons corresponds to the atomic number.

Continental crust is primarily witch kind of rock

Answers

The correct answer is granite oceanic. Continental crust is primarily a granite oceanic. Continental crust is the layers of sedimentary, igneous, and metamorphic rocks that form the area of the shallow seabed that is near the shore.

You are riding in a vehicle with a coffee cup on the dashboard while traveling 30 km/h. The vehicle makes a sudden stop to avoid hitting the car that hasstopped in front of it.

Answers

Answer:

It would move forward.

Explanation:

What happen if a door is still perceived as a rectangle even after we view it from different angles?

Answers

Answer: If a door is perceived as a rectangle even after being viewed from different angles, it is likely because our brain is applying a cognitive concept known as "shape constancy." Shape constancy is a perceptual phenomenon where we tend to perceive an object's shape as being consistent and unchanged, even when viewed from different angles or under varying lighting conditions.

This phenomenon occurs because our brains are constantly processing the visual information we receive and attempting to make sense of it. When we encounter a door, our brain has a preconceived notion that a typical door is rectangular in shape. As a result, even when we see the door from an angle that might distort its appearance, our brain adjusts the perception to maintain the idea that it is a rectangle.

This concept of shape constancy is a part of how our brains simplify the complex visual information we receive from the environment. It helps us recognize objects more easily and efficiently, even when they are presented in different orientations or lighting conditions.

In reality, the door may not appear as a perfect rectangle when viewed from various angles, but our brain's tendency to maintain shape constancy can override these visual discrepancies, and we continue to perceive it as a rectangle. It's important to note that this phenomenon is not limited to doors; it applies to many objects in our everyday lives, helping us make sense of the world around us.

Final answer:

Perception of a door as a rectangle from different angles is due to the flexibility of our visual perception, allowing our brain to adjust based on various factors. This can be observed in experiments where subjects acclimate to visual distortions over time.

Explanation:

When we view a door from different angles, it may still appear as a rectangle due to the way our brains perceive visual information. Our brains automatically adjust our perception based on various factors like lighting conditions, distance, and movement. This flexibility in perception allows us to make sense of the world around us. For example, in an experiment where subjects wore prism glasses to invert their visual field, initially, they perceived objects differently, but after acclimation, their perception returned to normal.

Learn more about Visual Perception here:

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You need to raise a heavy block by pulling it with a massless rope. You can either (a) pull the block straight up height h, or (b) pull it up a long, frictionless plane inclined at a 15∘ angle until its height has increased by h. Assume you will move the block at constant speed either way.

Answers

Final answer:

In both scenarios, the work done on the heavy block is the same, as it is determined by the change in the vertical height. However, pulling the block up the inclined plane may require less force because the work is distributed over a larger distance.

Explanation:

The subject of this question is based on the concept of work and energy in physics. When you pull the heavy block straight upwards (scenario a), the work done is equal to the force times the distance, or Work = mg*h, where m is the mass of the block, g is the acceleration due to gravity, and h is the height it needs to rise. For pulling the block up the inclined plane (scenario b), the work done still equals mg*h as the vertical distance it rises is the same.

This is because, according to the principle of work and energy, the work done on an object is equal to the change in its kinetic energy. Since the speed of the block remains constant in both scenarios, the kinetic energy does not change, meaning the work done on the block is the same in both scenarios.

However, pulling the block up the inclined plane may require less force because of the larger distance over which the work is done. But the overall work is the same in both cases.

Learn more about Work and Energy here:

brainly.com/question/16987255

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