1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lemur [1.5K]
3 years ago
10

A boat of mass 250 kg is coasting, with its engine in neutral, through the water at speed 1.00 m/s when it starts to rain with i

ncredible intensity. The rain is falling vertically, and it accumulates in the boat at the rate of 100 kg/hr . What is the speed of the boat after time 0.500 hr has passed7 Assume that the water resistance is negligible. Express your answer in meters per second. Now assume that the boat is subject to a drag force Fd due to water resistance. Is the component of the total momentum of the system parallel to the direction of motion still conserved? The boat is subject to an external force, the drag force due to water resistance, and therefore its momentum is not conserved. The drag is proportional to the square of the speed of the boat, in the form Fd = bv2 where b = 0.5 N. s2/m2. What is the acceleration of the boat just after the rain starts'7 Take the positive x axis along the direction of motion. Express your answer in meters per second per second.
Physics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

Explanation:

1. We use the conservation of momentum for before the raining and after. And also we take into account that in 0.5h the accumulated water is

100kg/h*0.5h = 50kg

p_{b}=p_{a}\\M_{b}v_{b}=(M_{b}+m_{r})v_{a}\\v_{a}=\frac{M_{b}v_{b}}{M_{b}+m_{r}}=\frac{250kg*1\frac{m}{s}}{250kg+50kg}=0.83\frac{m}{s}

2. the momentum does not conserve because the drag force of water makes that the boat loses velocity

3. If we assume that the force of the boat before the raining is

F=ma=m\frac{v-v_{0}}{t-t_{0}}=250kg\frac{1m}{s^{2}}=250N

where we have assumed that the acceleration of the boat is 1m/s{2} just before the rain starts

And if we take the net force as

F_{net}=M_{b}a_{net}=F-F_{d}=250N-bv^{2}\\F_{net}=250N-0.5N\frac{s^{2}}{m^{2}}(1\frac{m}{s})^{2}=249.5N\\a_{net}=\frac{249.5N}{M_{b}}=\frac{249.5N}{250kg}=0.99\frac{m}{s^{2}}

where we take v=1m/s because we are taking into account tha velocity just after the rain stars.

I hope this is useful for you

regards

You might be interested in
Imagine you have just witnessed a small avalanche on a mountain while skiing, and two slushy snowballs just crashed together in
inn [45]
We have that the momentum p is given by the formula p=mv where m is the mass and v is the velocity. Since for A p=-14kgm/s and m=7, we have that the velocity is -14/7=-2m/s. Hence its speed is 2 m/s.
For b we have that p=15kgm/s and v=3m/s. Because m=p/v, we have m=3kg.
We also have that the momentum is conserved in this system. Hence, the net sum of the momentum of the 2 snowballs equals the momentum of the single giant ball. Hence, p(total)=p(combined)=-14+15=1kgm/s (momentum is a vector; the positive sign means that it tends to the positive direction).

6 0
3 years ago
Read 2 more answers
To balance a chemical equation we use______. <br> -coefficients <br> -subscripts
Vitek1552 [10]

Answer:

Coefficients

Explanation:

  • Coefficients are used to balance chemical equations.
  • According to the law of conservation of mass, the mass of the reactants in a chemical equation should be equivalent to the mass of the products.
  • The conservation of mass is achieved in chemical equations is achieved through balancing chemical equations.
  • <em><u>Balancing chemical equations is a try and error of putting appropriate coefficients to the reactants or products to ensure that the number of atoms of each element are equal on the side of the reactants and that of products. </u></em>
3 0
3 years ago
A 70 kg student stands on top of a 5.0 m platform diving board . how much gravitational potential energy does the student have?
Marianna [84]

Answer:

a. P.E = 3430Joules.

b. Workdone = 3430Nm

Explanation:

<u>Given the following data;</u>

Mass = 70kg

Distance = 5m

We know that acceleration due to gravity is equal to 9.8m/s²

To find the potential energy;

Potential energy = mgh

P.E = 70*9.8*5

<em>P.E = 3430J</em>

b. To find the workdone;

Workdone = force * distance

But force = mass * acceleration

Force = 70*9.8

Force = 686 Newton.

Workdone = 686 * 5

<em>Workdone = 3430Nm</em>

6 0
2 years ago
Does most psychologists believe that ESP exist
vodomira [7]

Answer:

no

Explanation:

most psychologists are skeptical of ESP and believe it's not real. There actually more skeptical of ESP than other scientists.

6 0
3 years ago
What is a scientific theory
Tomtit [17]

Answer:

They arn't usually guesses, but they are well made theorys or explanations.  Its a well-substantiated explanation of facts that have been confirmed in expirements.

3 0
3 years ago
Other questions:
  • What is the kinetic energy of a 26 kg eagle flying at an altitude of 65 m at a speed of 19 m/s?
    8·1 answer
  • How would you find the average speed of a cyclist throughout an entire race
    6·1 answer
  • Relative velocity.....Please help....​
    6·1 answer
  • A light wave travels through air in equals 1.00 at an angle of 35 degrees what angle does it have when it passes from the air in
    15·1 answer
  • Which techniques can help reduce the effects of tornadoes?
    13·1 answer
  • Resistance in wires causes electrical energy to be converted to what form of energy? sound chemical energy nuclear energy therma
    8·1 answer
  • Three arrows are shot horizontally. They have left the bow and are traveling parallel to the ground. Air resistance is negligibl
    5·1 answer
  • Is there any terminal identification mark for rheostat as positive, negative?
    12·1 answer
  • A rifle is aimed horizontally at a target 50.0 m away. The bullet hits the target 2.90 cm below the aim point. . . Whats the bul
    14·1 answer
  • Optimists usually have a higher degree of wellness than pessimists.<br> O True<br> False
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!