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
Juli2301 [7.4K]
3 years ago
9

A 5kg fish swimming at 1 m/s swallows a 1 kg fish at rest. What is the final momentum of the big fish with the small fish in its

stomach?
Physics
1 answer:
icang [17]3 years ago
7 0

Answer:

p = 4.167kgm/s

Explanation:

Given

Represent the Big fish with M and the small fish with m

M = 5kg

U_M = 1m/s

m = 1kg

U_m = 0m/s

Required

Determine the final momentum of the Big fish

First, we need to determine the final velocity of the big fish.

Because, the big fish swallowed the small one, they both move at the same speed.

Using conversation of momentum, we have:

M*U_M + m * U_m = (M + m)V

Where

V = Final\ Velocity

So, we have:

5 * 1 + 1 * 0 = (5 + 1)V

5 + 0 = 6V

5 = 6V

V = \frac{5}{6}\ m/s

The momentum (p) is calculated as thus:

p = M * V

p = 5 * \frac{5}{6}

p = \frac{25}{6}

p = 4.167kgm/s

<em>Hence, the final momentum is approximately 4.167kgm/s</em>

You might be interested in
What is the net force on a car with a mass of 1000 kg if its<br> acceleration is 35 m/s^2?
VashaNatasha [74]

Answer:

3000N

Explanation:

divided to get answer

the force needed to accelerate the 1000kg car by 3m/s2 is 3000N

7 0
2 years ago
A 2.5 kg block is launched along the ground by a spring with a spring constant of 56 N/m. The spring is initially compressed 0.7
Norma-Jean [14]

vf ^2 = kx^2/m = 56(0.75)^2 / 2.5 = 12.6


Therefore, v= 3.5 m/s.

7 0
3 years ago
Read 2 more answers
Estimate the mass of the Great Pyramid of Giza, in tons. You make may use of the following information: the Great Pyramid is in
postnew [5]

Answer:

6005803.83105 short tons

Explanation:

The definition of density is \rho = \frac{m}{V}, and the volume of a pyramid is (confusingly written on the proposal) V=\frac{1}{3} Ah, so we can write:

m=\rho V=\rho V \frac{1}{3} Ah=\rho V \frac{1}{3} s^2h

Where s is the side of the base, being s^2 the area of that square.

We will write everything in S.I., and the best way to convert units is using conversion factors, for example, since 1m=100cm, we know that \frac{1m}{100cm}=1, and we can use this factor to convert anything written in cm to anything written in m. Example:

500cm=500cm\frac{1m}{100cm}=5m

Here we just multiplied 500cm by something that is equal to 1 (as every conversion factor must), so <em>it's not doing anything but changing the units</em>.

We can use this tool like this:

2.1\frac{g}{cm^3}=2.1\frac{g}{cm^3}(\frac{1Kg}{1000g})(\frac{100cm}{1m})^3=2100Kg/m^3

Where we have used the fact that 1^3=1 (<u>we can elevate any conversion factor to any number and they still will be 1</u>) and where we have placed strategically what is the numerator and what in the denominator so the units we don't want cancel out and the units we want appear.

Substituting then our values:

m=\rho V \frac{1}{3} s^2h=(2100Kg/m^3)\frac{1}{3} (230.34m)^2(146.7m)=5448373586.96Kg

And now we will convert to short tons using two conversion factors at the same time:

m=5448373586.96\ Kg(\frac{1\ lb}{0.45359237\ Kg})(\frac{1\ short\ ton}{2000\ lb} )=6005803.83105\ short \ tons

Remember, their value is 1, and we place the units to cancel the ones we don't want and keep the ones we want, here Kg cancel out, and lb cancel out, leaving the short tones.

8 0
3 years ago
A binary star system consists of two equal mass stars that revolve in circular orbits about their center of mass. The period of
Vladimir79 [104]

Answer:

m = 2.23 \times 10^{-32} kg

Explanation:

Given data:

PERIOD OF MOTION IS T = 25.5 days

orbital speeds = 220 km/s

we know that

acceleration due to centripetal force isa =   \frac{F}{m} = \frac{V^2}{r}

Gravitational forceF= \frac{Gm m}{d^2}

we know that

v = \frac{2\pi R}{T}

solving for

R = \frac{vT}{2\pi}

F = \frac{Gm^2}{4(\frac{vT}{2\pi})^2}

F = G\times \frac{\pi m}{(vT)^2}

a = \frac{v^2}{\frac{vT}{2\pi}}

a = \frac{2\pi v}{T}

we know that

f =ma

G\times \frac{\pi m}{(vT)^2} = a = \frac{2\pi m v}{T}

solving for m

m = \frac{2Tv^3}{\pi G}

m = \frac{2\times 25.5 \times 86400 \times 220000^3\ m/s}{\pi \times 6.67\times 10^{-11}}

m = 2.23 \times 10^{-32} kg

5 0
3 years ago
What is the mass of a rock lifted 2 meters off the ground that has 196 J of potential energy?
eimsori [14]

Answer:

10kg

Explanation:

Let PE=potential energy

PE=196J

g(gravitational force)=9.8m/s^2

h(change in height)=2m

m=?

PE=m*g*(change in h)

196=m*9.8*2

m=10kg

4 0
3 years ago
Other questions:
  • Which type of rock is formed from cooling molten rock?
    9·1 answer
  • A+b(2d*5d)+7654321-2234567
    13·1 answer
  • A Projectile is fired with a velocity of 8m/s at and angle of 65 . what is the vertical component of the velocity ?
    8·1 answer
  • A 190 g rock at 20°C is completely immersed in 600 g of water at 80°C. Which one of the following statements is true right after
    9·1 answer
  • Can there be any heat transfer between two bodies that are at the same temperature but at different pressures?
    6·1 answer
  • What happens to speed when wavelength decreases
    9·1 answer
  • Everything is made up of blank and all matter is made of blank. There are three basic parts of atom: protons,neutrons, and blank
    8·1 answer
  • What is the molarity of 2 mol of calcium carbonate, CaCl2, dissolved in 1 L of solution?
    13·1 answer
  • What is fundamental movement?​
    12·2 answers
  • Which line represents a stationary object?<br> Position<br> Time
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!