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
ValentinkaMS [17]
3 years ago
10

A rubber bullet of mass m=0.025\,\mathrm{kg}m=0.025kg traveling at velocity v_0 = 50\,\mathrm{m/s}v 0 ​ =50m/s hits an iron bloc

k of mass M=15\,\mathrm{kg}M=15kg initially hanging at rest from a massless rope. After the collision, the bullet bounced straight back at a velocity of v_1 = 35\,\mathrm{m/s}v 1 ​ =35m/s. The effect of gravity on the bullet alone can be ignored. To what maximum height hh will the iron block reach after the collision? (Assume that the rope remains tight during the entire process).
Physics
1 answer:
Pavel [41]3 years ago
3 0

Answer: 0.001 m

Explanation:

In order to get the máximum height reached by the iron block, we can use the energy conservation principle, as all the kinetic energy impressed upon the iron blck by the rubber bullet during the collision, becomes gravitational potential energy, as follows:

½ m v2 = m. g. h (1)

We don´t know the value of v, but if we look to the collision, and we asume no external forces act during it, the total momentum must be conserved.

The initial momentum, as the block is at rest, is just the one due to the rubber bullet:

P1 = mb . vb = 0.025 kg. 50 m/s = 1.25 kg. m/s

The final momemtum, is just the sum of the one due to the bullet (after being bounced back) and the one for the iron block:

P2 = mb . vfb  + mib . vib= 0.025 Kg. (-35 m/s) + 15 Kg.vib

As we have already said, P1 = P2, so we can write the following equation:

0.025 Kg. (-35 m/s) + 15 Kg. vib = 1.25 Kg. m/s.

Solving for vib, we have:

vib = 0.14 m/s

Now, we can replace this value in the equation (1) above:

½ . 15 Kg. (0.14)2  (m/s)2 = 15 Kg. 9.8 m/s2. H

Solving for H, we have:

H = 0.001 m

You might be interested in
The standard measure used to compare sound intensities is the ______ .
uranmaximum [27]
The answer is Decibels. <span />
4 0
3 years ago
Read 2 more answers
An airplane is flying 340 km/hr at 12o east of north. the wind is blowing 40 km/hr at 34o south of east. what is the plane's act
seropon [69]
Define an x-y coordinate system such that
The positive x-axis = the eastern direction, with unit vector  \hat{i}.
The positive y-axis = the northern direction, with unit vector \hat{j}.

The airplane flies at 340 km/h at 12° east of north. Its velocity vector is
\vec{v}_{1} = 340(sin(15^{o})\hat{i} + cos(15^{o})\hat{j} ) = 88\hat{i} + 328.4\hat{j}

The wind blows at 40 km/h in the direction 34° south of east. Its velocity vector is
\vec{v}_{2} =40(cos(34^{o})\hat{i} - sin(24^{o})]\hat{j}) = 33.1615\hat{i} -22.3677\hat{j})

The plane's actual velocity is the vector sum of the two velocities. It is
\vec{v}=\vec{v}_{1}+\vec{v}_{2} = 121.1615\hat{i}+306.0473\hat{j}

The magnitude of the actual velocity is
v = √(121.1615² + 306.0473²) = 329.158 km/h

The angle that the velocity makes north of east is
tan⁻¹ (306.04733/121.1615) = 21.6°

Answer:
The actual velocity is 329.2 km/h at 21.6° north of east.
8 0
3 years ago
Plz help asap.
stich3 [128]

Answer:

In a primary cell, two electrodes (one of copper and other of zinc) of metal atoms are used. These electrodes are dipped in an electrolyte solution that causes the metals to produce their respective positive and negative ions.

In this way, the flow of charges takes place and supply the electricity to the source.

Unlike a primary cell, a dry cell contains paste of an electrolyte instead of the solution. The contents of electrolyte paste react with each other through a chemical process and convert the chemical energy into electrical energy.

5 0
3 years ago
When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of
algol13

Answer:

0.0768 revolutions per day

Explanation:

R = Radius

\omega = Angular velocity

As the mass is conserved the angular momentum is conserved

I_1\omega_1=I_2\omega_2\\\Rightarrow \frac{I_1}{I_2}=\frac{\omega_2}{\omega_1}

Moment of intertia for solid sphere

I_1=\frac{2}{5}MR^2\\\Rightarrow I_1=0.4MR^2

Moment of intertia for hollow sphere

I_2=\frac{2}{3}M(4.3R)^2\\\Rightarrow I_2=12.327MR^2

Dividing the moment of inertia

\frac{I_1}{I_1}=\frac{0.4MR^2}{12.327MR^2}\\\Rightarrow \frac{I_1}{I_2}=0.032

From the first equation

\omega_2=\omega_1\frac{I_1}{I_2}\\\Rightarrow \omega_2=2.4\times 0.032\\\Rightarrow \omega_2=0.0768\ rev\day

The angular velocity, in revolutions per day, of the expanding supernova shell is 0.0768 revolutions per day

8 0
3 years ago
Can someone please tell me the answer
Anna35 [415]
So here the red ball is initially stationary so V2=0m/s. Plus for the sake of rules the mass must be converted into kg. Initial momentum would equal the final momentum. Make an equation out of it and get the answer.

8 0
3 years ago
Other questions:
  • The electric field that is 0.25m from a small sphere is 450n/c toward the sphere.
    10·2 answers
  • A jogger runs at an average speed of 4.20 mi/h. (a) how fast is she running in m/s? (report your answer to the correct number of
    9·1 answer
  • Referring to the above diagram, how high will the ball rise on the right-hand incline?
    8·1 answer
  • Two circular coils are concentric and lie in the same plane. The inner coil contains 170 turns of wire, has a radius of 0.0095 m
    14·1 answer
  • Which planets are closets to the sun?
    8·2 answers
  • PLS HELP I NEED IT
    9·2 answers
  • Questions are in the picture ^ (please answer separately)
    13·2 answers
  • The cable holding a 2125 kg elevator has a maximum strength of 21,750 N. What is the maximum upward acceleration the cable can g
    10·1 answer
  • A wave has frequency of 50 Hz and a wavelength of 10 m. What is the speed?
    9·1 answer
  • A block of copper of density 8.9g/cm3 measures 5 cm by 3 cm by 2 cm. Given that the force of gravity is 10N/kg-1, determine. a)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!