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An 8.00 kg shell at rest explodes in two fragments, with mass ratio of 3:2. If the lighter fragment
gains 90.0 3 of kinetic energy from the explosion, how much kinetic energy does the heavier fragment gain?
A bat strikes a 0.160 kg baseball. Just before impact, the ball is travelling horizontally to the right at 45.0 m/s, and it leaves the bat traveling to the left at an angle of 36.9 above the horizontal with at speed of 60.0 m/s. If the ball and the bat are in contact for 1.75 ms, (a) find the components of the
impulse of the net force on the ball. (b) What is the magnitude and direction of the average force on the ball?
Create a program that asks the user to input 5 numbers. The numbers should be stored in a list, after which, your program should determine the lowest number on the list using a loop then it will display the lowest number. Comment your code below. Sample Output: Enter 5 numbers: 6 3 2 1 4 Lowest Number is 1
Two vehicles are approaching an intersection. One is a 2800 kg pick-up traveling at 15.0 m/s from) west to east, and the other is 1750 kg sedan moving north to south at 23.0 m/s. (a) What are the
magnitude of the individual momentum of each vehicle? (b) What is the magnitude and direction of the total momentum of the system? (c) What is their total kinetic energy?
What is the molecular mass of a non-electrolyte solute in a solution that contains 0.6kg of solute and 200g of benzene with a freezing point equal to 5.4°C? The freezing point of pure benzene is 5.53°C/m. The freezing point constant of benzene is 5.12°C.
1. In a survey of 1500 households, it is found that 47% of them have a high-definition television (based on data from the consumer electronics association). Use a 0.01 significance level to test the claim that fewer than half of all households have a high definition television. Are the results from a few years ago likely to be valid today?
A cement manufacturer claims that the average weight of his product is 40 kg: with a standard deviation of 2.35 kg A sample of 45 bags was taken and found to have a mean weight of 38.71 kg: Are we going to accept the claim of the cement manufacturer? Use 0.01 level of significance
1. In a Harris poll of 630 human resource professionals, 38.4 % said that they had at least one child by the age of 30 years.
a. Among the 630 professionals who were surveyed, how many of them said they had at least one child before 30 years of age.
b. Construct a 99% confidence interval estimate for the proportion of all human resource professionals with at least one child before 30 years of age.
c. Repeat part (b) using a confidence interval level of 90%.
d. Compare the confidence intervals from part (b) and (c) and identify the interval that is wider. Why is it wider?
1. A particular brand of petrol was used in 80 randomly chosen cars of the same model and age. The petrol consumption, x miles per gallon, was obtained for each car. The results are summarized by
∑x=1896 and ∑x2=45959.
Calculate a 99% confidence interval for the mean petrol consumption of all cars of this model and age.
Photosynthesis in plants converts carbon dioxide and water into glucose and oxygen according to the equation below.
6CO2(g) + 6H2O(l) → C6H12O6(s) + 6O2(g)
Substance
CO2
H2O(l)
C6H12O6(s)
O2(g)
∆H (kJ/mol)
-393.5
-285.8
-1273.3
S° (J/mol ∙ K)
213.6
69.9
209.2
205.0
Instruction: Calculate the ∆H°, ∆S°, and ∆G°. Is the reaction spontaneous at standard condition?
