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
ladessa [460]
3 years ago
5

A 3.0 kg object moving 8.0 m/s in the positive x-direction has a one-dimensional elastic collision with an object of mass, M, in

itially at rest. After the collision the object of unknown mass has a velocity of 6.0 m/s in the positive x direction. What is M
Physics
1 answer:
finlep [7]3 years ago
8 0

Answer:

<h3>1kg</h3>

Explanation:

According to law of conservation of momentum

m1u1+ m2u2 = (m1+m2)v

m1 and m2 are the masses of the object

u1 and u2 are their initial velocities

v is their common velocity

Given

m1 = 3kg

m2 = M

u1 = 8m/s

u2 = 0m/s (object at rest)

v = 6.0m/s

Substitute and get M

3(8) + M(0) = (3+M)6

24 = 18+6M

24-18 = 6M

6 = 6M

M = 1kg

Hence the mass M is 1kg

You might be interested in
The sound level at a distance of 1.48 m from a source is 120 dB. At what distance will the sound level be 70.7 dB?
Tju [1.3M]

Answer:

The second distance of the sound from the source is 431.78 m..

Explanation:

Given;

first distance of the sound from the source, r₁ = 1.48 m

first sound intensity level, I₁ = 120 dB

second sound intensity level, I₂ = 70.7 dB

second distance of the sound from the source, r₂ = ?

The intensity of sound in W/m² is given as;

dB = 10 Log[\frac{I}{I_o} ]\\\\For \ 120 dB\\\\120 = 10Log[\frac{I}{1*10^{-12}}]\\\\12 =  Log[\frac{I}{1*10^{-12}}]\\\\10^{12} = \frac{I}{1*10^{-12}}\\\\I = 10^{12} \ \times \ 10^{-12}\\\\I = 1 \ W/m^2

For \ 70.7 dB\\\\70.7 = 10Log[\frac{I}{1*10^{-12}}]\\\\7.07 =  Log[\frac{I}{1*10^{-12}}]\\\\10^{7.07} = \frac{I}{1*10^{-12}}\\\\I = 10^{7.07} \ \times \ 10^{-12}\\\\I = 1 \times \ 10^{-4.93} \ W/m^2

The second distance, r₂, can be determined from sound intensity formula given as;

I = \frac{P}{A}\\\\I = \frac{P}{\pi r^2}\\\\Ir^2 =  \frac{P}{\pi }\\\\I_1r_1^2 = I_2r_2^2\\\\r_2^2 = \frac{I_1r_1^2}{I_2} \\\\r_2 = \sqrt{\frac{I_1r_1^2}{I_2}} \\\\r_2 =   \sqrt{\frac{(1)(1.48^2)}{(1 \times \ 10^{-4.93})}}\\\\r_2 = 431.78 \ m

Therefore, the second distance of the sound from the source is 431.78 m.

7 0
3 years ago
A 1613 kg car moves with a velocity of 9 m/s. What is its kinetic energy?
ryzh [129]

We Know,

K.E. = 1/2 mv²

K.E. = 1/2 (1613)(9)²

K.E. = 1/2 * 1613*81

K.E. = 65326.5 Kgm/s


4 0
4 years ago
A 3.00 × 10^-6 kg ant rides the second hand of an enormous vertical wall clock. The ant smoothly sweeps a circle of radius 50.0
kotykmax [81]

Answer:

1.65×10⁻⁶ N

Explanation:

m = Mass of ant = 3\times 10^{-6}\ kg

r = Radius = 50 m

t = Time taken to complete on rotation = 60 seconds

Angular velocity

\omega=\frac{2\pi}{t}\\\Rightarrow \omega=\frac{2\pi}{60}

Centripetal acceleration is force that is acting outward

F_c=m\omega^2r\\\Rightarrow F_c=3\times 10^{-6}\times \left(\frac{2\pi}{60}\right)^2\times 50\\\Rightarrow F_c=1.65\times 10^{-6}\ N

The magnitude of the upward force felt by the ant due to the second hand would be 1.65×10⁻⁶ N

4 0
3 years ago
A measurement standard is defined as ____.
Serggg [28]

<u>Answer:</u>

A measurement standard is defined as 'the exact quantity people agree to use for comparison'.

<u>Explanation:</u>

For the same type of quantity, there is a unit of measurement which is defined and adopted either conventionally or by law which is used as standard for measurement of that quantity.

This measurement standard is defined as 'the exact quantity people agree to use for comparison'.

For example, for length the standard unit of measurement is 'meter'.

5 0
4 years ago
Read 2 more answers
!!!HELP ASAP!!!<br>in witch situation is work being done?<br>theres a photo added.​
Arturiano [62]
C..............................
8 0
3 years ago
Other questions:
  • A car moving at 44 km/ h skids 16 m with locked brakes. How far will the car skid with locked brakes at 110km/ h
    6·1 answer
  • To sterilize a 53.0 g glass baby bottle, we must raise its temperature from 25.0°C to 92.0°C. How much heat transfer (in J) is r
    13·1 answer
  • Part APart complete Make a chart showing all the possible sets of quantum numbers l and ml for the states of the electron in the
    10·1 answer
  • A computer disk drive is turned on starting from rest and has a constant angular acceleration. If it took 0.750 seconds for the
    6·1 answer
  • (a) (i) Find the gradient of f. (ii) Determine the direction in which f decreases most rapidly at the point (1, −1). At what rat
    13·1 answer
  • A boy weighs 40 kilograms. He runs at a velocity of 4 meters per second north. Which is his momentum?
    13·2 answers
  • Do all the stars move in the sky ? Explain​
    5·1 answer
  • 2. If a spring has a spring constant of 400 N/m, how much elastic potential
    13·1 answer
  • Something has a mass of 40 kg and a velocity of 1 m/s
    10·1 answer
  • Help fast
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!