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meriva
3 years ago
7

Which statement is a description of boyle's law?The temperature and volume of a gas are directly proportional when pressure is c

onstant.
The temperature and volume of a gas are inversely proportional when pressure is constant.
The volume and pressure of a gas are directly proportional when temperature is constant.
The volume and pressure of a gas are inversely proportional when temperature is constant.
Physics
2 answers:
torisob [31]3 years ago
6 0
P and V are inversely proportional when temperature is constanst.
answer is the last option.


mel-nik [20]3 years ago
4 0

Answer: The correct answer is:

The volume and pressure of a gas are inversely proportional when temperature is constant.

Explanation:

Boyle's Law states that pressure of gas is inversely proportional to the volume of the gas at constant temperature in Kelvins.

P\propto \frac{1}{V}  (At constant temperature)

Where: P = pressure of the gas

V = Volume occupied by the gas

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A student is running at her top speed of 5.4 m/s to catch a bus, which is stopped at the bus stop. When the student is still a d
olya-2409 [2.1K]

Answer:

a) t=8.19s; x=44.2m

b) v=1.401 m/s

c) see attachment

d) The second solution is a later time at which the bus catches the student. v=9.40 m/s

e) No, she won't.

f) v=3.63m/s;t=21.2; x=77m

Explanation:

a) The motion of both the bus and the student can be explained by the equation x= v_{0} +\frac{1}{2}at^{2}. Since the student is not accelerating, but rather maintaining a constant speed; the particular equation that describes the motion of the student is: x_{student} = 5.4 \frac{m}{s} * t. Meanwhile, since the bus starts its motion at an initial velocity of zero, the equation that describes its motion is: x_{bus} =\frac{1}{2} * 0.171 \frac{m}{s^{2} } * t^{2}. The motion of the student relative to that of the bus can be described by the equation: x_{s} =x_{bus} +38.5m. By replacing terms in the last equation we end up with the following quadratic equation: (0.0855 \frac{m}{s^{2} } * t^{2} )-(5.4\frac{m}{s} *t)+38.5m =0. Solving the quadratic equation will yield two solutions; t1=8.19s and t2=55.0s. By plugging in t1 onto the equation that describes the motion of the student we will find the distance runned by her, x=44.2m.

b) The velocity of the bus can be modeled by the equation v^{2} = v_{0} ^{2} +2ax. Since the initial velocity of the bus is zero, the first term of the equation cancels. Next, we solve for v and plug in the acceleration of 0.171 m/s2 and the distance 5.74m (traveled by the bus, note: this is equal to the 44.2m travelled by the student minus the 38.5m that separated the student from the bus at the beginning of the problem).

c) The equations that make up the x-t graph are: x = 5.4 \frac{m}{s} * t and  x =\frac{1}{2} * 0.171 \frac{m}{s^{2} } * t^{2} + 38.5; as described in part a.

d) The first solution states that the student would have to run 44.2 m in 8.19 s in order to catch the bus. But, at that point, the student has a greater speed than that of the bus. So if both were to keep he same specified motion, the student would run past the bus until it reaches a velocity greater than that of the student. At which point, the bus will start to narrow the distance with the student until it finally catches up with the student 55 seconds after both started their respective motion.

e) No, because the quadratic equation (0.0855 \frac{m}{s^{2} } * t^{2} )-(3.5\frac{m}{s} *t)+38.5m =0 has no solution. This means that the two curves that describe the distance vs time graph for both student and bus do not intersect.

f) This answer is reached by finding b of the quadratic equation. The minimum that b can be in order to find a real answer to the quadratic equation is found by solving b^{2} -4ac=0. If we take a = 0.0855 and c = 38.5, then we find that the minimum speed that the student has to run at is 3.63 m/s. If we then solve the quadratic equation (0.0855 \frac{m}{s^{2} } * t^{2} )-(3.63\frac{m}{s} *t)+38.5m =0,we will find that the time the student will run is 21.2 seconds. By pluging in that time in the equation that describes her motion: x_{student} = 3.63 \frac{m}{s} * t we find that she has to run 77 meters in order to catch the bus.

4 0
3 years ago
Caves are a type of island ecosystem according to the theory of island biogeography. Please select the best answer from the choi
tatuchka [14]

Answer:

True

Explanation:

A different type of habitat exists in the caves. There exist no green plants/producers but still various life forms evolve with in the caves. The major source of nutrients with in the caves is water and intrusion of other organism that led to deposition of food in the form of debris/guano etc. These food deposits are intake by the organisms living in caves leading to start of  food cycle. This is very much similar to any other food cycle

3 0
3 years ago
If you move two objects father Paul how does the force of gravity between the two objects change
Yanka [14]
The force of gravity gets stronger.

4 0
3 years ago
A car drives to the east in a time of 4 hours. Then, immediately (not realistic, but just assume this is the case for this probl
diamong [38]

Answer:

Average speed in east direction speed=\frac{distance}{time}=\frac{28}{4}=7km/hr            

Explanation:

We have given average speed of the entire trip = 5 km/hr

First the car 4 hours then travels 12 km in 4 hours

So total time of the trip = 4+4 = 8 hours

So total distance traveled in the trip d=speed\times time = 5\times 8=40km

As the car travel 12 km in 4 hours to the west

So distance traveled in 4 hour in east = 40 -12 = 28 km

Time in east direction = 4 hour

So average speed in east direction speed=\frac{distance}{time}=\frac{28}{4}=7km/hr

4 0
3 years ago
What is the formula for wheel and axel
aleksley [76]

Answer: MA= Radius of wheel divided by Radius of Axle

Explanation:

3 0
3 years ago
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