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
Elenna [48]
3 years ago
13

A 3.5 kg object moving at 8.1 m/s in the positive direction of an x axis has a one-dimensional elastic collision with an object

of mass M, initially at rest. After the collision the object of mass M has a velocity of 5.2 m/s in the positive direction of the x axis. What is mass M?
Physics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

So the mass of the second object M will be 1.951 kg    

Explanation:

We have given mass of the first object m_1=3.5kg and its velocity v_1=8.1m/sec

Mass of the second object m_2=M  it is at rest so its velocity v_2=0

From conservation of momentum we know that

Initial momentum = final momentum

So m_1v_1+m_2v_2=(m_1+m_2)v

3.5\times 8.1+M\times 0=(3.5+M)5.2

28.35=18.2+5.2M

M = 1.951 kg

You might be interested in
An egg is dropped from the top of the band hall. if the band hall is 25 m tall, determine the time it takes the egg to hit the f
Vera_Pavlovna [14]

Answer:

2.26 s

Explanation:

The following data were obtained from the question:

Height (h) = 25 m

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =..?

The time taken for the egg to hit the floor can be obtained as illustrated below:

h = ½gt²

25 = ½ × 9.8 × t²

25 = 4.9 × t²

Divide both side by 4.9

t² = 25 / 4.9

Take the square root of both side

t = √(25 / 4.9)

t = 2.26 s

Thus, it will take 2.26 s for the egg to hit the floor.

7 0
3 years ago
A daring 510-N swimmer dives off a cliff with a running horizontal leap. What must her minimum speed be just as she leaves the t
oee [108]

Answer:

v_x = 1.26 m/s

Explanation:

given,

weight of swimmer = 510 N

length of ledge, L = 1.75 m

vertical height of the cliff, h =  9 m

speed of the swimmer = ?

horizontal velocity  of the swimmer should be that much it can cross the wedge.

distance = speed x time

d = v_x × t

1.75 = v_x × t ........(1)

now,time taken by the swimmer to cover 9 m

initial vertical velocity of the swimmer is zero.

using equation of motion for time calculation

s = ut +\dfrac{1}{2}gt^2

9= 0+\dfrac{1}{2}\times 9.8\times t^2

  t² = 1.938

  t = 1.39 s

same time will be taken to cover horizontal distance.

now, from equation 1

1.75 = v_x × 1.39

v_x = 1.26 m/s

horizontal speed of the swimmer is equal to 1.26 m/s

4 0
3 years ago
Consider two diffraction gratings. One grating has 3000 lines per cm, and the other one has 6000 lines per cm. Both gratings are
Usimov [2.4K]

Answer:

<em>The 6000 lines per cm grating, will produces the greater dispersion .</em>

Explanation:

A diffraction grating is an optical component with a periodic (usually one  that has ridges or rulings on their surface rather than dark lines) structure that splits and diffracts light into several beams travelling in different directions.

The directions of the light beam produced from a diffraction grating depend on the spacing of the grating, and also on the wavelength of the light.

For a plane diffraction grating, the angular positions of principle maxima is given by

(a + b) sin ∅n = nλ

where

a+b is the distance between two consecutive slits

n is the order of principal maxima

λ is the wavelength of the light

From the equation, we can see that without sin ∅ exceeding 1, increasing the number of lines per cm will lead to a decrease between the spacing between consecutive slits.

In this case, light of the same wavelength is used. If λ and n is held constant, then we'll see that reducing the distance between two consecutive slits (a + b) will lead to an increase in the angle of dispersion sin ∅. So long as the limit of sin ∅ not greater that one is maintained.

7 0
3 years ago
How is light described?
Lelu [443]

Light as a wave: Light can be described (modeled) as an electromagnetic wave. ... This changing magnetic field then creates a changing electric field and BOOM - you have light. Unlike many other waves (sound, water waves, waves in a football stadium), light does not need a medium to “wave” in.

Explanation:

5 0
3 years ago
An airplane starts from rest at the end of a runway and accelerates at a constant rate. In the first second, the airplane travel
Licemer1 [7]

Answer:

v=4.44\frac{m}{s}

Explanation:

Given that the airplane starts from the rest (this is initial velocity equals to zero)  and accelerates at a constant rate, position can be described like this: x=v_{0}t +\frac{1}{2} at^{2} where x is the position, t is the time a is the acceleration and v_{0} is initial velocity. In this way acceleration can be found. a=\frac{2(x-v_{0}t) }{t^{2} } =\frac{2(1.11m-0)}{1s^{2} } =2.22\frac{m}{s^{2} }.

Now we are able to found velocity at any time with the formula: v=v_{0} +at = 0\frac{m}{s} +(2.22\frac{m}{s^{2}}.2s)=4.44\frac{m}{s}

3 0
3 years ago
Other questions:
  • Which area of physics involves using a compass in the woods?
    14·1 answer
  • A. How does increasing the voltage of a power supply in an electromagnet affect the strength of the magnetic field?
    12·2 answers
  • A certain string can withstand a maximum tension of 39. N without breaking. A child ties a 0.43 kg stone to one end and, holding
    10·1 answer
  • The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t − 9, 0 ≤ t ≤ 3 (a) Find the
    6·1 answer
  • Explain why a valve would last longer in the pulmonary position than in the aortic position
    12·1 answer
  • Which of these is the universal law of gravitation? All matter is attracted and pulled downward toward the ground. Most matter i
    13·1 answer
  • Which of the following statements is true of sound transmission through various mediums? ​
    14·2 answers
  • The word “cumulative” means that something builds on itself. Which example best shows how scientific knowledge is cumulative? A.
    13·1 answer
  • If the x-component of velocity is 27m/s and the y-component of velocity is -23 m/s, what is the resultant vector?
    6·1 answer
  • PLEASE HELP<br><br> TOPIC - CONVECTION
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!