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zubka84 [21]
3 years ago
13

A 60.0 kg girl stands up on a stationary floating raft and decides to go into shore. She dives off the 180 kg floating raft with

a velocity of 4.0 m/s [W]. Ignore the substantial friction real objects in water experience.
A) What is the momentum of the girl as she is diving?
B) What is the momentum of raft as the girl is diving?
C) What is the final speed of the raft just after the girl dives?
Physics
1 answer:
padilas [110]3 years ago
8 0
Momentum, p = m.v
m of the girl = 60.0 kg
m of the boat = 180 kg
v of the girl = 4.0 m/s

A) Momentum of the girl as she is diving:
p = m.v = 60.0 kg * 4.0 m/s = 24.0 N/s

B) momentum of the raft = - momentum of the girl = -24.0 N/s

C) speed of the raft

p = m.v ; v = p/m = 24.0N/s / 180 kg = -0.13 m/s [i.e. in the opposite direction of the girl's velocity]
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The electrical generators can provide 1.5 × 109 W of power for a maximum of 5 hours. Calculate the maximum energy that can be tr
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The maximum energy that can be transferred by the electrical generator is  2.7×10¹³ Joules.

We can use the equation of electric power and electric energy.

Electric Power: This can be defined as the ratio of the electric energy to the time of electrical equipment.

⇒ Formula

  • P = E/t............... Equation 1

⇒Where:

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  • E =  Maximum electric Energy
  • t = time.

make E the subject of the equation

  • E = Pt................. Equation 2

From the question,

⇒ Given:

  • P = 1.5×10⁹ W
  • t = 5 hours = (5×60×60) seconds = 18000 seconds = 1.8×10⁴ s

⇒ Substitute these values into equation 2

  • E = (1.5×10⁹)(1.8×10⁴)
  • E = 2.7×10¹³ Joules.

Hence, the maximum energy that can be transferred by the electrical generator is  2.7×10¹³ Joules.

Learn more about Electric energy here: brainly.com/question/21222010

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2. In contrast to Venus, the coldest temperature yet measured on the surface of
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Answer:

Explanation:

<u>Temperature Scales </u>

There are three temperature scales in the modern sciences: Fahrenheit, Celsius, and Kelvin. Fahrenheit temperature scale assigns the value 32 for the freezing point of water and 212 for the boiling point of water and divides that interval into 180 parts. Celsius scale has a similar reference, giving 0 to the freezing point of water and 100 for the boiling point of water. The conversion between them is as follows

\displaystyle F=\frac{9}{5}C+32

K=C+273.15

The coldest temperature yet measured on the surface of any body in the solar system is -235°C. Converting to Fahrenheit

\displaystyle F=\frac{9}{5}(-235)+32=-391^oF

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5. A 5.5 x10-6 C charge is located 0.28 m from a -3.5 x 10-6 C charge.
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(a) The magnitude of force that the positive charge exerts on the negative charge is - 2.209 N.

(b) If the negative charge is doubled, then the force will also get doubled.

The new force will be F = -4.418 N.

Explanation:

The force acting between two charged particles separated by a distance is termed as Coloumb's force or electrostatic force. It can be termed as electrostatic force of attraction if the the force acting between the charges are oppositely charged. And it can be termed as electrostatic force of repulsion if the charges are similar or like charges.

In the present case, there is a positive and negative charge, so electrostatic force of attraction will be acting between them. As per Coloumb's law, the electrostatic force of attraction is directly proportional to the product of charges and inversely proportional to the square of distance of separation.

F = \frac{kQq}{d^{2} }

Here, k is the constant of proportionality which is equal to 9 ×10^{9} and Q, q are the two charges, d is the distance of separation.

So here Q = 5.5 ×10^{-6} C and q = - 3.5 ×10^{-6} C and d = 0.28 m

Then, F=-\frac{9*10^{9}*5.5*10^{-6} * 3.5 * 10^{-6}  }{(0.28)^{2} } = 2209.82*10^{-3}

So the magnitude of force that the positive charge exerts on the negative charge is - 2.209 N.

(b) If the negative charge is doubled, then the force will also get doubled.

The new force will be F = -4.418 N.

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