(28) In 2010, an advertisement for a particular sports car had the for- mer Formula 1 driver Michael Schumacher perform a stunt with the car. Driving into a tunnel, Schumacher spiraled around its inner surface before driving out of the tunnel, once again at ground level. What should the minimum speed of the car be to safely per- form this stunt, if the 100-m-long tunnel is 6 m in diameter, and Schumacher is seen exiting the tunnel two seconds after the start of the stunt? What is the next higher safe speed? Can any speed higher than the minimum lead to a safe stunt?

(28) In 2010, an advertisement for a particular sports car had the for- mer Formula 1 driver Michael Schumacher perform a stunt with the car. Driving into a tunnel, Schumacher spiraled around its inner surface before driving out of the tunnel, once again at ground level. What should the minimum speed of the car be to safely per- form this stunt, if the 100-m-long tunnel is 6 m in diameter, and Schumacher is seen exiting the tunnel two seconds after the start of the stunt? What is the next higher safe speed? Can any speed higher than the minimum lead to a safe stunt?

Name: (28) In 2010, an advertisement for a particular sports car had the fo
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: (28) In 2010, an advertisement for a particular sports car had the for-mer Formula 1 driver Michael Schumacher perform a stunt withthe car. Driving into a tunnel, Schumacher spiraled around itsinner surface before driving out of the tunnel, once aga

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 129CP: In a later chapter, you will find that the weight of a particle varies with altitude such that...

See similar textbooks

Similar questions

What is the maximum velocity, in miles per hour, for an automobile rounding a levelcurve of 200 ft radius if μs between the tires and roadbed is 1.0.
When you look at the surface of a music CD, you see the colors of a rainbow. (a) Estimate the distance between the curved lines (to be read by the laser). (b) Estimate the distance between lines, noting that a CD contains at most 80 min of music, that it rotates at speeds from 200 to 500 rev/min, and that 2/3 of its 6-cm radius contains the lines.
In Jules Verne’s 1865 story with this title, three men went to the moonin a shell fired from a giant cannon sunk in the earth in Florida.(a) Find the minimum muzzle speed needed to shoot a shell straightup to a height above the earth equal to the earth’s radius RE. (b) Findthe minimum muzzle speed that would allow a shell to escape from theearth completely (the escape speed). Neglect air resistance, the earth’srotation, and the gravitational pull of the moon. The earth’s radius andmass are RE = 6.37 * 10^6 m and mE = 5.97 * 10^24 kg.
A 2.3 kg brick slides down a smooth rubble chute with a profile of parabola: y = 1.75 + x², so that when it is at A it has a speed of 1.5 m/s. Determine: a) The speed of the brick just before it leaves the surface at B. b) The distance d measured on the ground and to the left from just below the mouth of the slide, at B, and to the point where the brick will hit the ground
Check Your Understanding If the two golf shots in Example 4.9 were bunched at the same speed, which shot would have the greatest range? When we speak of the range of a projectile on level ground, we assume R is very small compared with the circumference of Earth. If, however, the range is large, Earth curves away below the projectile and the acceleration resulting from gravity changes direction along the path. The range is larger than predicted by the range equation given earlier because the projectile has father to fail than it would on level ground, as shown in Figure 4.17, which is based on a drawing in Newton's Principia. If the initial speed is great enough, the projectile goes into orbit. Earth's surface drops every 8000 m. In 1 s an object falls 5 m without a resistance. Thus, if an object is given a horizontal velocity of 8000 m/s (or 18,000 mi/hr) near Earth's surface, it will go into orbit around the planet because, the surface continuously falls away from object Thu is…
You are exploring a distant planet. When your spaceship is ina circular orbit at a distance of 630 km above the planet’s surface, the ship’sorbital speed is 4900 m/s. By observing the planet, you determine its radiusto be 4.48 * 10^6 m. You then land on the surface and, at a place where theground is level, launch a small projectile with initial speed 12.6 m>s at anangle of 30.8 above the horizontal. If resistance due to the planet’s atmosphereis negligible, what is the horizontal range of the projectile?
On a dare from a friend, you decide to try to jump a canyon using your bicycle as shown in the figure below. We will define a successful jump as one that allows you to just make it to the edge of the canyon on the far side. Ꮎ Yramp Calculate all the following: A custom ramp has been constructed for you which is yo = 29.6 meters high and is tipped an an angle of 0 = 44.7 degrees. The canyon has a width of Xcanyon 106.8 meters. Xcanyon The initial velocity, vo, of your bike? meters/second The time spent flying through the air second guessing your judgement? seconds
Suppose that a space probe can withstand the stresses of a 20g acceleration. (a) What is the minimum turning radius of such a craft moving at a speed of one-tenth the speed of light? (b) How long would it take to complete a 90° turn at this speed?
Please help with the solution to this problem using (km/s). I know we will use Hohmann Transfer and a combined plane change. In the opening scene of the movie “Gravity” Dr Ryan Stone (Sandra Bullock) and Matt Kowalsky (George Clooney) are required to transit from the Hubble Space Telescope (Altitude 600 km, 28.5 degree inclination) to the International Space Station (Altitude 400 km, 51.6 degree inclination) using nothing but their Manned Maneuvering Units (MMU). An MMU has a delta V capability of about 30 m/s, and it would be impossible to perform this maneuver with so little delta V, but… a.) How much delta V would be required for this maneuver? b.) What if the maneuver did not require an inclination change (altitude change only?)
In a later chapter, you will find that the weight of a particle varies with altitude such that w=mgr02r2where r0is the radius of Earth and ris the distance from Earth’s center. If the particle is fired vertically with velocity v0from Earth’s surface, determine its velocity as a function of position r. (Hint: use adr=vdv, the rearrangement mentioned in the text.)
Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .
A) A student throws a dart horizontally toward the center of a target, X, at a speed of 20 m/s as shown. The dart flies for 0.1 s and then hits below the center, at Y. How much lower, in m, does it hit? B) A drone at too great a height drops a box. The box drops straight down the ground and hits at 100 m/s smashing the contents. Neglecting air friction, approximately, how high, in m was the drone? C) is in the picture