Find the final velocity and direction of the bullet-block
A 60 g bullet moving with a speed of 500 m/s strikes a 5 kg block moving in the same direction with a speed of 30 m/s. If the bullet becomes embedded in the block, what is the final velocity and direction of the bullet/block?
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The temperature of the steam entering the turbine is 700 F. Calculate the thermal efficiency of the cycle assuming isentropic expansion in the turbine.
James teaches a class of 300 students, and only 6 have done their homework assignment which is due today. He calls on a student at random to put a problem on the board and check to see whether he or she has done the assignment.
A 50 kg crate resting on a flat smooth surface is acted upon by a horizontal force that varies by the equation F=1.5t where t is time in units of seconds. What is the speed of the crate after 10 s? Neglect friction.
Approximately 8.33% of men are colorblind. You survey 8 men from the population of large city and count the number who are colorblind. What is a "success" in this situation and what is probability of success on a single trial?
Customers arrive at a bakery at an average rate of 6 per half-hour. Each customer spends an average of $2.50. What is the probability that exactly 3 customers will arrive in the next 10 minutes?
You are picking a bouquet of 20 flowers for your mother at random from a garden with 25 coneflowers, 35 daisies and 42 lilies. Your mother likes daisies the best and you want to have 15 of those in your bouquet.
The angle F1 makes with the positive c axis is 30degrees. Given that the resultant force F1+F2 lies in the direction of the X axis, find the magnitude of the resultant force.
The wolf pack needs to kill 3 large animals in order to feed the whole pack. What is the probability that it will need to chase 20 large animals to feed the pack? What is the expected number of chases needed to be able to feed the pack?
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