#396 Learning Goals: Students will be able

Learning Goals: Students will be able - Physics

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Free Chegg Question

Learning Goals: Students will be able to use Energy-Time graphs to... at a given time.

• Estimate a location for the Skater an a track
• Calculate the speed or height of the Skater
• Predict energy distribution for tracks with and without friction

Directions 1. This graph was made with the 75 kg Skater Guy riding on the track shown. Without using the simulation, talk with your partner to predict the answers to these questions. Record your predictions!

a Where was he at time zero? At 7 seconds? At 8 seconds? 5 seconds? 

b Ifhis maximum height is 4 m, what is his height at time zero? At 7 seconds? At S seconds? 5 seconds?

c What is his speed at time zero? At 7 seconds? At S seconds? 5 seconds?

d Sketch what the graph would look like between 13 and 15 seconds

2. Use the Skate Park simulation to check your answers and make carrections. Show examples of caicuiations by gvng the formula and substitution

3. Without using the simulation, talk with your partner to predict the answers to these questions about the same Track, Skater and Starting point as #1. Record your predictions!

a Sketch what the graph might look like between 0 and 9 seconds if the Track Friction was tumed on

b How do you think his location will be affected? Think about both horizontal and vertical location.

c How do you think his speed on the track will be affected?

d Test your ideas using the simulation and make corrections to your predictions.

4. Consider if the 60kg Skater Gal rode on the same Frictionless Track and Starting point

a How do you think her position, speed and energy will compare to the Guy's?

b. Sketch what the graph might look like between0 and 5 seconds

c If you used the same amount of track friction, how would your answers to question three сompare?

d Test your ideas us ing the simulation and make cotrections to your predictions.

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Free Chegg Answer

1) a) At time zero, the potential energy is at a maximum and the K.E is zero. Thus, he must have been at the highest point of his travel. The same answer applies at the 7th second as well.

At 5 sec, the K.E is increasing from zero thus, he must be coming down the ramp.

at 8th second, he is at the bottommost part of the ramp, where his K.E will be the greatest.

b)

at

t = 0, height = 4 (maximum, since P.E is maximum)

t = 7, h = 4 (same reason)

t = 8, h=0 (since K.E is maximum and P.E is zzero)

t = 5, h = approximately 3m (since K.E is growing from zero and P.E is decreasing from it's max value)

c)

at t=0, v=0 (since K.E is 0 )

t=7, v=0 (same reason)

t = 8, v = v_max = 

This is because when there is no friction, the kinetic energy gained= potential energy lost

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Q 3)

a) the graph will have the exact same oscillations except that the amplitude of the oscillations will reduce with time.

b)

he will travel lesser and lesser in the horizontal and vertical directions, due to dissipation of the energy he has in the form of thermal energy.

c)

As discussed in the previous part, 

So, if he travels lesser and lesser heights, his best speed will be reduced.

Thus, the speed in every point of the track will be reduced.

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a) Her energy will be lesser because her greatest energy is given by P.E = mgh , which includes the mass as well.

Her speed will be the same as Guy since the velocity is not dependent on the mass.

b) same graph as given in the question but with reduced amplitude.

c) Graph will look the same but with reduced maximum amplitude (since Gal's m is lesser than Guy's)