College Physics
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Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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DIRECTIONS. Solve the following problems. Draw free-body diagrams if necessary. Attach a scanned copy/picture of your solutions. (3 pts. each)
An astronaut inside a 2.25 x 106 kg rocket that is blasting off vertically from the launch pad. You want this rocket to reach the speed of sound (331 m/s) as quickly as possible, but you also do not want the astronaut to black out. Medical tests have shown that astronauts are in danger of blacking out at an acceleration greater than 4g. What is the maximum thrust that the engines of the rocket can have to just barely avoid blackout?
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- Example B: A 7.0 kg mass stretches a spring .60 m. a) Find the spring constant, k. b) What is the frequency with which the mass vibrates?arrow_forwardd. What is the frequency, f of the block’s motion? e. What is the first time the block is at the position x=0? (1) f. When is the block first at the position x = 0.042 m?arrow_forwardKwame experimented with his spring scale and found that it took 3.5 N of force to move his spring scale 0.02 m. What is the spring constant of Kwame's spring scale? A 175 N. 0.07- 7.0 D. 3.48 B.arrow_forward
- Fish are hung on a spring scale to determine their mass. a. What is the force constant of the spring in such a scale if it the spring stretches 11.00 cm for a 13.0 kg load? b. What is the mass of a fish that stretches the spring 7.00 cm? c. How far apart are the quarter-kilogram marks on the scale?arrow_forward1. A 67.7g mass is suspended on the end of a 9.45cm long spring, stretching it to 12.35cm. What is the spring constant of this spring?arrow_forward2. Construct a problem where a mass is sitting on top of a spring inside an elevator; both are suspended by a rope and are uniformly accelerating upwards with magnitude 4 meters per second squared. Specify all the masses in the problem, as well as all the forces acting in the problem, and their relative directions.arrow_forward
- In the diagram below, a 4 kg block is on a horizontal frictionless surface. A 14 N force (F₁) is pushing down on the block. The block is attached to a spring that is stretched 0.92 m and has a spring constant of 4300 N/m. Determine the normal force on the block and its acceleration. FN = WWW W a =arrow_forwardA mass of 0.12 kg is sliding on a frictionless horizontal surface when it comes to a horizontal spring with Hooke’s constant k = 90 N/m. The mass is moving at 15 m/s. How far does the spring compress? What is the acceleration of the mass when the spring is fully compressed? How much time elapses between when the mass first encounters the spring, and when the spring reaches full compression? a.) Set up and solve for maximum compression distance. b.) Set up and solve for acceleration at maximum compression. c.) Set up and solve for the time to maximum compression.arrow_forwardPlease help!arrow_forward
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