A frictionless crate is attached to a spring with force constant 531N/m. When the crate has a displacement of 0.35m, it is moving to the negative x – direction with a velocity of 3.45 m/s. Determine the maximum force the spring exerts on the crate if the mass of the crate is 4.35 kg.
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- This is a multiple question with 4 parts so all parts need to be answered & not against community guidelines. You can just give me the number of the question and the letter of the answer that goes with it.Density Here is a simple problem. Then we'll do one that requires a little more thought. The shape of a city is roughly a circle with a radius of 5 miles. If the population density for the city is 10,000 people per square mile, what is the population of the city? 11111 Now here's a problem that will stretch your problem solving skills. This time the city is also in the shape of a circle, but the population density is higher towards the center of the city and lower towards the outskirts. The numbers in the diagram represent miles. The population density is 10,000 people per square mile in the inner circle. In the first ring out from the center the density is 8,000 people per square mile, the second ring out it's 6,000, in the third ring out it's 4,000 and in the largest ring it's only 2,000 people per square mile. Finally, here is a three dimensional problem. Density is defined as weight per unit of volume. So which weighs more, a ball of zinc with a radius of 3 cm, or a ball of…why did you add instead of subtract in the cosine law? follow up question to: Kristopher entered Ms. Chang’s calculus class in a contest. The prize is a trip to a “secret” island. Guess what? We won! So the whole class is “off” to the “secret” island on an airplane. This airplane is on a heading 170 degrees, and is cruising at 250 km/hr. It is encountering a wind blowing from the south/west at 50 km/hr. a)Draw a vector diagram (free body or closed loop) b)Determine the aircraft’s ground velocity (magnitude and direction – standardbearing please!). Round final answers to 1 decimal place. c)If the flight took off about 5 hours, how far is this “secret” island from the airport?
- One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?Please follow the instructions carefully and provide detailed answers. Answer only if you really know how to compute it and answer all of it :( Thank you so much!Solve the problem number 7 by following the steps below:
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- Hello, can you also please include the formula that you used to solve this problem? Thank you!For the remaining questions, you need to use Figure 1.4 to obtain the necessary orders of magnitude of lengths, masses, and times.About how many floating-point operations can a supercomputer perform each year?answer a b c only.. no other parts needed......... only typed answers.......