Life in the Universe (4th Edition)
4th Edition
ISBN: 9780134089089
Author: Jeffrey O. Bennett, Seth Shostak
Publisher: PEARSON
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Chapter 7, Problem 33TYU
Which of the following are you most likely to find if you randomly choose a small moon of one of the jovian planets to examine? (a) water ice (b) organic molecules (c) an abundance of heavy metals, such as gold
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As shown in the figure, a 0.580 kg object is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the object travels along a frictionless, horizontal surface to point A, the bottom of a
vertical circular track of radius R = 1.00 m, and continues to move up the track. The speed of the object at the bottom of the track is VA = 13.0 m/s, and the object experiences an average frictional force of 7.00 N while sliding up the track.
R
(a) What is x?
m
A
(b) If the object were to reach the top of the track, what would be its speed (in m/s) at that point?
m/s
(c) Does the object actually reach the top of the track, or does it fall off before reaching the top?
O reaches the top of the track
O falls off before reaching the top
○ not enough information to tell
A block of mass 1.4 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest.
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a
F
x = 0
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b
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(a) A constant friction force of 4.4 N retards the block's motion from the moment it is released. Using an energy approach, find the position x of the block at which its speed is a maximum.
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(b) Explore the effect of an increased friction force of 13.0 N. At what position of the block does its maximum speed occur in this situation?
cm
You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have
designed a combination of two coiled springs as illustrated in the figure below. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down.
Total force (N)
2000
1500
1000
500
Distance (cm)
10 20 30 40 50 60
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Both springs are described by Hooke's law and have spring constants k₁ = 1,900 N/m and k₂ = 2,700 N/m. After the first spring compresses by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in the figure. When the spring with
spring constant k₂ compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical…
Chapter 7 Solutions
Life in the Universe (4th Edition)
Ch. 7 - Why do we expect the elements of life to be widely...Ch. 7 - How does the strength of sunlight vary with...Ch. 7 - Under what conditions does it seem reasonable to...Ch. 7 - Why is a liquid medium important for life? Why...Ch. 7 - Summarize the three major environmental...Ch. 7 - Why do the Moon and Mercury seem unlikely to be...Ch. 7 - Why is Venus so much hotter than Earth? How does...Ch. 7 - Why does Mars seem such a good candidate for life?Ch. 7 - Briefly discuss the possibility of life on Jupiter...Ch. 7 - With regard to habitability, how do the cases of...
Ch. 7 - What characteristics make some of the large moons...Ch. 7 - Briefly describe the prospects for habitability of...Ch. 7 - Describe and distinguish between space missions...Ch. 7 - For a few of the most important past, present, or...Ch. 7 - On the smallest moon of Uranus, my team discovered...Ch. 7 - New spacecraft images show lakes of liquid water...Ch. 7 - We are pumping water for our new Moon colony from...Ch. 7 - I was part of the first group of people to land on...Ch. 7 - We sent a robotic airplane into the atmosphere of...Ch. 7 - On a moon of Neptune, we discovered photosynthetic...Ch. 7 - We deposited bacteria (from Earth) that get energy...Ch. 7 - The drilled sample showed no signs of life on...Ch. 7 - We cut holes in the frozen surface of a methane...Ch. 7 - The drilled sample from Mars brought up rock that...Ch. 7 - Oxygen and carbon are (a) rarer than almost all...Ch. 7 - On an asteroid that is twice as far as Earth from...Ch. 7 - Compared to liquid water, liquid methane is (a)...Ch. 7 - Frozen lakes often have liquid water beneath their...Ch. 7 - Temperatures on Mercury are (a) always very hot;...Ch. 7 - On Venus, liquid water (a) does not exist...Ch. 7 - The reason Venus is so much hotter than Earth is...Ch. 7 - Life is probably not possible in Jupiters...Ch. 7 - Which of the following are you most likely to find...Ch. 7 - The Cassini spacecraft (a) flew past Pluto; (b)...Ch. 7 - Bizarre Forms of Life. Discuss some forms of life...Ch. 7 - Making a Living. Consider various methods by which...Ch. 7 - Solar System Tour. Based on the brief tour in this...Ch. 7 - Galileo Spacecraft. In 2003, scientists...Ch. 7 - Greenhouse Effect. The text (in Chapter 4) makes...Ch. 7 - Prob. 41IFCh. 7 - Understanding Newtons Version of Keplers Third Law...Ch. 7 - Understanding Newtons Version of Keplers Third Law...Ch. 7 - Earth Mass. The Moon orbits Earth in an average...Ch. 7 - Jupiter Mass. Jupiters moon Io orbits Jupiter...Ch. 7 - Pluto/Charon Mass. Plutos moon Charon orbits Pluto...Ch. 7 - Mission to Pluto. The New Horizons spacecraft took...Ch. 7 - Planetary Missions. Visit the web page for one of...
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- A spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.71 kg is placed on the incline at a distance d = 0.285 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = incline angle is 0 = 20.0°, the spring constant is k = 505 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? m k www m 0.750 m/s. Thearrow_forwardA block of mass m = 2.50 kg situated on an incline at an angle of k=100 N/m www Ө m = 50.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (Fig. P8.54). The pulley and incline are frictionless. The block is released from rest with the spring initially unstretched. (a) How far does it move down the frictionless incline before coming to rest? m (b) What is its acceleration at its lowest point? Magnitude m/s2 Direction O up the incline down the inclinearrow_forward(a) A 15.0 kg block is released from rest at point A in the figure below. The track is frictionless except for the portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2,100 N/m, and compresses the spring 0.250 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points B and C. 3.00 m -A B C -6.00 m (b) What If? The spring now expands, forcing the block back to the left. Does the block reach point B? ○ Yes No If the block does reach point B, how far up the curved portion of the track does it reach, and if it does not, how far short of point B does the block come to a stop? (Enter your answer in m.) marrow_forward
- A ball of mass m = 1.95 kg is released from rest at a height h = 57.0 cm above a light vertical spring of force constant k as in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 7.80 cm as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. т h m a d T b (a) Find the speed of the ball just as it touches the spring. m/s (b) Find the force constant of the spring. kN/marrow_forwardTruck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.05 × 105 N/m, the helper spring constant is 3.50 x 105 N/m, and y = 0.500 m. Truck body yo Main leaf spring -"Helper" spring Axle (a) What is the compression of the leaf spring for a load of 6.00 × 105 N? m (b) How much work is done in compressing the springs? ]arrow_forwardA block of mass m₁ = 10.0 kg is connected to a block of mass m₂ 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched. Vm1 × 1.32 Vm2 = 1.32 × m/s m/sarrow_forward
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