1- A car is moving along a street with acceleration of 0500 m/s A 200m-long trai
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1- A car is moving along a street with acceleration of 0500 m/s A 200m-long train is movwing at 100 m/s parallel to the street The speed of the car is 170 m/s when it gets the tail of the train How long willit take for the car to go from the tail to the front of the train? (10 points) 2- A 900-kg parachutist falls from a helicopter at 200 m over the earth Calculate his speed when he gets the earth if the total work done by air resistance is-175x1 1(10 points) J- A satellite is in a circular orbit around the center of the Earth, with an orbital radius that is two smes the fadus R of the Earth, Determine the period of the circular motion of the satellite (O points) 4- A 75-cm guitar string is fixed at both ends. In the frequency range between 10 and 20 kH the string is found to resonate only at frequencies 12. 15, and 1.8 kHz What is the speed of traveling waves on this string? (10 points) 5- An ideal gas absorbs 600 J heat and expands isothermally Calculate the change in internal energy of the gas during the process (10 points) 6- A car wheel with a radius of 50 cm has a white spot in its border. The car moves without sliding with a velocity of 80 km/h. Calculate how often the spot touches the street (10 point) 7- A football is kicked at ground level with a speed of 25.0m/s at an angle of 38.0 to the horizontal What is its velocity at the highest point? Ignore air friction. (10 points 5- A traveling wave can be described by the wave function D 001 sin (42x 2100 t where D and x are in meters and t is in seconds Determine the wave velocity (10 points Calculate the change in entropy of 250 g of water when it is heated from 10o'C to 20°C You can make an estimate by using an average temperature of 15'C during the process (10 points) TO-If 900 L of hydrogen gas initially at 170°'C and 1.00 atm is compressed to 3.00L and heated to 97 0°C what will be the new pressure? (10 points) Bonus- Carlos and Jonathan are 40 meters apart. They run towards each other along a straight path to give each other hug. The speed of Carlos is 53 m/s whale te speed of Jonathan 47 m/s As they start to run, Jonathans dog leaves him and run towards Carlos at 7.0 m/s Upon reaching Carlos the dog runs towards Jonathan and continues to run back and forth unbil they meet What is the distance traveled by the dog when the two finally hug each other? (20 points)Explanation / Answer
3. r = 2 Re
for circular orbit,
G Me m / r^2 = m v^2 / r
G Me / r = v^2
v^2 = G Me / (2 Re) = (6.67 x 10^-11 x 5.972 x 10^24) / (2 x 6.37 x 10^6)
v = 5591.6 m/s
4. for guitar string,
L = (lambda/2) + n(lambda/2)
lambda = 2L / (n+1)
and f = v / lambda
f = (n + 1) v / 2L
for n,
1.2 = (n + 1) v /(2 * 0.75)
(n + 1) v = 1.8
for n=1
1.5 = (n + 2)v / (2 * 0.75)
(n+2)v = 2.25
(n + 2) / (n + 1) = 2.25 / 1.8
n = 3
v = 1.8 x 10^3 / (3 + 1) = 450 m/s
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