Concept explainers
In Problems 66 through 68 you are given the equation used to solve a problem. For each of these, you are to
- Write a realistic problem for which this is the correct equation.
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PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<
- A suspicious physics student watches a stunt performed at an ice show. In the stunt, a performer shoots an arrow into a bale of hay (Fig. P11.24). Another performer rides on the bale of hay like a cowboy. After the arrow enters the bale, the balearrow system slides roughly 5 m along the ice. Estimate the initial speed of the arrow. Is there a trick to this stunt? FIGURE P11.24arrow_forwardParticles in an ideal gas of molecular oxygen (O2) have an average momentum in the x direction of 2.726 1023 kgm/s. What is a. their root mean square speed and b. the root mean square of their x component of velocity.arrow_forwardFebruary 3, 2009, was a very snowy day along Interstate 69 just outside of Indianapolis, Indiana. As a result of the slippery conditions and low visibility (50 yards or less), there was an enormous accident involving approximately 30 vehicles, including cars, tractor-trailers, and even a fire truck. Many witnesses said that people were driving too fast for the conditions and were too close together. In this problem, we explore two rules of thumb for driving in such conditions. The first is to drive at a speed that is half of what it would be in ideal conditions. The other is the 8-second rule: Watch the vehicle in front of you as it passes some object such as a street sign, and you should pass that same object 8 seconds later. On a dry road, the 8-second rule is replaced by a 3-second rule. a. Assume vehicles on a slippery interstate highway follow both rules. What is the distance between the vehicles? b. If a driver followed the first rule of thumb, driving at a lower speed, but used the 3-second rule instead of the 8-second rule, what is the distance between the vehicles? How does that distance compare with the visibility on the day of the accident? c. Suppose drivers do not follow either rule of thumb for slippery conditions. What is the distance between vehicles? How does that distance compare with the visibility on that day? d. Suppose a driver was not obeying either rule of thumb when she sees a tractor-trailer that stopped on the highway. She presses on her brakes, locking the wheels, and her car crashes into the truck. Estimate the magnitude of the impulse exerted on her car. e. Estimate the impulse on the car in part (d) had the driver followed both rules of thumb for slippery conditions instead of ignoring them.arrow_forward
- Figure P26.20 is a topographic map. a. Rank A, B, and C by elevation from the lowest point to the highest point. b. Rank A, B, and C by slope from the steepest slope to the flattest slope. FIGURE P26.20arrow_forward(a) Suppose that a person has an average heart rate of 72.0 beats/mm. How many beats does he or she have in 2.0 years? (b) In 2.00 years? (c) In 2.000 years?arrow_forwardAt 22.0C, the radius of a solid aluminum sphere is 7.00 cm. a. At what temperature will the volume of the sphere have increased by 3.00%? b. What is the increase in the spheres radius if it is heated to 250C? Assume = 22.2 106 K1 and = 66.6 106 K1.arrow_forward
- For the exam scores given in Table P20.60, find the average score and the rms score. Table P20.60arrow_forwardIn 2011, artist Hans-Peter Feldmann covered the walls of a gallery at the New York Guggenheim Museum with 100,000 one-dollar bills (Fig. P1.48). Approximately how much would it cost you to wallpaper your room in one-dollar bills, assuming the bills do not overlap? Consider the cost of the bills alone, not other supplies or labor costs. FIGURE P1.48arrow_forwardRank the following quantities of energy from largest to smallest. State if any are equal. (a) the absolute value of the average potential energy of the SunEarth system (b) the average kinetic energy of the Earth in its orbital motion relative to the Sun (c) the absolute value of the total energy of the SunEarth systemarrow_forward
- In an attempt to produce exotic new particles, a proton of mass mp = 1.67 1027 kg is accelerated to 0.99c (c = 3.00 108 m/s is the speed of light) and crashed into a helium nucleus of mass mHe = 6.64 1027 kg initially at rest. The collision is elastic. a. What is the kinetic energy of the helium nucleus after the collision? b. What is the kinetic energy of the proton after the collision? (In Chapter 39, well learn what Einstein says about making such calculations.)arrow_forward(a) Calculate the number of cells in a hummingbird assuming the mass of an average cell is 10 times the mass of a bacterium. (b) Making the same assumption, how many cells are there in a human?arrow_forwardA system consists of three particles, each of mass 5.00 g, located at the corners of an equilateral triangle with sides of 30.0 cm. (a) Calculate the gravitational potential energy of the system. (b) Assume the particles are released simultaneously. Describe the subsequent motion of each. Will any collisions take place? Explain.arrow_forward
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