21.02.2022

If t varies 1/s and t=2 when s=60 find the relationship between t and s, b, find the value of t when s=90 c, find s when t=2,1/2

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StudenGPT
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P Answered by Studen AI
Assuming neither skier tries to slow down, Brandon, who takes the longer, more gradual trail, will reach the bottom first. This is because the steepness of the trail affects the skier's acceleration. On a steep trail, acceleration is higher, causing the skier to reach the bottom faster.

However, Amanda, who goes down the steep trail, will be going faster at the bottom. This is due to the higher acceleration she experiences on the steep trail, which results in a higher final velocity.

Now let's move on to the Gizmo warm-up questions:

1. When the block slides down the ramp with an angle of 20°, its speed increases. As it moves from the top of the inclined plane to the bottom, the potential energy is converted into kinetic energy, resulting in an increase in speed.

2. The final velocity of the block when it slides down the ramp with an angle of 20° can be found in the TABLE tab of the Gizmo. Please provide the value given in the Gizmo.

3. The acceleration of the block when it slides down the ramp with an angle of 20° can also be found in the TABLE tab of the Gizmo. Please provide the value given in the Gizmo. The acceleration represents how much the velocity of the block increases each second.

Now, please reset the Gizmo by clicking the Reset() button.

Next, change the angle of Ramp 1 to 60° on the CONTROLS tab, and click Play. Once again, we need to find the final velocity and acceleration of the block.

1. What is the final velocity of the block when it slides down the ramp with an angle of 60°? Please provide the value given in the Gizmo.

2. What is the acceleration of the block when it slides down the ramp with an angle of 60°? Please provide the value given in the Gizmo.

Now, let's move on to Activity A:

In this activity, we will explore the conversion of potential energy into kinetic energy on an inclined plane. Turn on the Gizmo and follow the instructions.

1. Predict: As the block slides down the ramp, how do you expect the gravitational potential energy and kinetic energy of the block to change? Please provide your prediction.

Now, select the ENERGY tab and click Play to observe the Gizmo.

1. What happens to the potential energy (PE) over time as the block slides down the ramp? Please describe the change.

2. What happens to the kinetic energy (KE) over time as the block slides down the ramp? Please describe the change.

Next, click Reset and then click Play. Pause the Gizmo when the block is about halfway down the plane.

1. What is the sum of the potential and kinetic energy percentages at this point? Please provide the values shown in the Gizmo.

Now, select the GRAPH tab, check that the graph shows Energy vs. Time, and click Play.

1. What do you notice about the graph? Please describe the pattern you observe.

Confirm: Repeat the experiment with ramps of varying steepness. Does the same pattern hold true? Explain your answer.

Now, let's move on to the next page of the activity:

In this part, we will manipulate the equation for kinetic energy and solve for velocity.

1. Rearrange the terms in the equation KE = (1/2)mv^2 to solve for velocity (v). Please provide the rearranged equation.

2. In the Gizmo, with the given mass and initial height (1 kg and 1 m), what is the initial gravitational potential energy of the block? Please provide the value calculated in the Gizmo.

3. Based on the conservation of energy, what will be the kinetic energy of the block when it reaches the bottom? Please provide the value calculated in the Gizmo.

4. What will be the final velocity of the block? Please provide the value calculated in the Gizmo.

Next, click Play and select the TABLE tab to find the block's final velocity.

1. What is the block's final velocity according to the Gizmo? Please provide the value shown.

2. How does this experiment demonstrate conservation of energy? Please explain.

Think and discuss: Why doesn't the steepness of a frictionless ramp affect the velocity of the block at the bottom of the ramp? Please discuss conservation of energy in your answer.

Now let's move on to Activity B:

In this activity, we will explore the effect of friction on a block sliding down an inclined plane. Follow the instructions in the Gizmo.

1. Predict: Which block do you think will slide down the ramp most quickly? Please provide your prediction.

Observe the Gizmo and answer the following questions:

1. Which block reached the bottom first? Please indicate whether it was the steel block or the rubber block.

2. For the steel block, what percentage of its potential energy was converted into kinetic energy? What percentage was lost due to friction?

3. For the rubber block, what percentage of its potential energy was converted into kinetic energy? What percentage was lost due to friction?

4. Which block was more affected by friction? Please explain your answer.

Now, click Reset and change the angle of both ramps to 20°. Click Play and observe what happens.

1. Can you describe what happens when the angle of the ramp is 20°?

In some cases, the friction can be so great that the object doesn't move at all!

Now, gather data by turning on Show coefficient of friction for each ramp. Find the smallest ramp angle that still allows each block to slide. Use a calculator to find the sine (sin), cosine (cos), and tangent (tan) of that angle.

1. Please provide the angle, sine, cosine, and tangent values for the steel block on the wood ramp.

2. Please provide the angle, sine, cosine, and tangent values for the rubber block on the wood ramp.

Analyze: Is there any pattern you notice in the data? Please describe.

Apply: In the next step, we will calculate the actual coefficient of friction. Click Reset and turn off Show coefficient of friction for each ramp. Find the smallest ramp angle that still allows each block to slide. Use a calculator to find the coefficient of friction for each combination of materials.

1. Please provide the calculated coefficient of friction for the ice-rubber combination.

2. Please provide the calculated coefficient of friction for the rubber-steel combination.

3. Please provide the calculated coefficient of friction for the wood-ice combination.

4. Please provide the calculated coefficient of friction for the steel-steel combination.

5. Please provide the calculated coefficient of friction for the wood-wood combination.

Now, turn on Show coefficient of friction and record the actual values from the Gizmo.

1. Please provide the actual coefficient of friction for the ice-rubber combination.

2. Please provide the actual coefficient of friction for the rubber-steel combination.

3. Please provide the actual coefficient of friction for the wood-ice combination.

4. Please provide the actual coefficient of friction for the steel-steel combination.

5. Please provide the actual coefficient of friction for the wood-wood combination.

Interpret: Which combination resulted in the greatest friction? Please specify the materials used.

Which combination had the least friction? Please specify the materials used.

Analyze: Based on your results, which factors do you think are most important in determining the amount of friction between two surfaces?

Think and discuss: When an object slides down a ramp with friction, the kinetic energy at the bottom of the ramp is not equal to the potential energy at the top. Why doesn't this situation violate the law of conservation of energy?

Take your time to review the questions and provide your answers accordingly.
Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

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