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
DochEvi [55]
3 years ago
10

To view an interactive solution to a problem that is similar to this one, select Interactive Solution 7.24. A 0.0146-kg bullet i

s fired straight up at a falling wooden block that has a mass of 2.55 kg. The bullet has a speed of 816 m/s when it strikes the block. The block originally was dropped from rest from the top of a building and had been falling for a time t when the collision with the bullet occurs. As a result of the collision, the block (with the bullet in it) reverses direction, rises, and comes to a momentary halt at the top of the building. Find the time t. Number Units.
Physics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

0.25223 seconds.

Explanation:

m_1 = Mass of bullet = 0.0146 kg

m_2 = Mass of block = 2.55 kg

v = Combined velocity

u_1 = Velocity of bullet = 816 m/s

g = Acceleration due to gravity = 9.81 m/s²

As linear momentum is conserved

m_1u_1 + m_2u_2 =(m_1 + m_2)v

Now u_2=v as the block (with the bullet in it) reverses direction and rises,

m_1u_1 + m_2v =(m_1 + m_2)v\\\Rightarrow m_1u_1=(m_1 + m_2)v-m_2v\\\Rightarrow 0.0146\times 816=(0.0146 + 2.55)v-(-2.55v)\\\Rightarrow 11.9136=2.2646v+2.55v\\\Rightarrow 11.9136=4.8146v\\\Rightarrow v=\frac{11.9136}{4.8146}\\\Rightarrow v=2.47447\ m/s

Equation of motion

v=u+at\\\Rightarrow t=\frac{v-u}{a}\\\Rightarrow t=\frac{2.47447-0}{9.81}\\\Rightarrow t=0.25223\ s

The time t is 0.25223 seconds.

You might be interested in
A 19 kg solid disk of radius0.44 m is rotated about an
Vlad1618 [11]

Answer:

0.915 Nm

Explanation:

1 revolution = 2π rad

We can use the following equation of motion to find out the acceleration acting on the disk

\omega^2 - \omega_0^2 = 2\alpha\Delta \theta

where \omega v = 2.5 rad/s is the final angular velocity of the disk, [tex]\omega_0 = 0 rad/s is the initial velocity of the can when it starts from rest, \Delta \theta is the angular distance traveled, \alpha is the angular acceleration of the disk, which we care looking for:

2.5^2 - 0 = 2*\alpha*2\pi

\alpha = \frac{2.5^2}{2*2\pi} \approx 0.5 rad/s^2

The moment of inertia of the solid disk is:

I = \frac{1}{2}mR^2 = \frac{1}{2}19*0.44^2 = 1.8392 kgm^2

where m is the mass and R is the radius of the disk

The net torque applied is

T = \alpha*I = 0.5 * 1.8392 = 0.915 Nm

8 0
3 years ago
The vitreous humor, a transparent, gelatinous fluid that fills most of the eyeball, has an index of refraction of 1.34. Visible
Leto [7]

Answer:

a)   298.5 nm ,  522.4 nm  and b)  radiation frequency does not change

Explanation:

When electromagnetic radiation reaches a medium with a different index of refraction, the medium vibrates the molecules, as if it were a resonance process, whereby the medium vibrates at the same frequency as the incident light.

On the other hand, when the light reaches another medium its average speed within the medium changes, it is now less than the speed of light in a vacuum (c) for this to happen as we saw that the frequency is constant there must be a change in the wavelength of the radiation that is characterized by the ratio

    λₙ = λ₀ / n

    λₙ = 400 nm    in the void

    λₙ = 400 / 1.34

    λₙ= 298.5 nm

   λ₀ = 700 nm

   λₙ = 700 / 1.34

   λₙ = 522.4 nm

The radiation frequency does not change

4 0
3 years ago
NEED HELP NOW DUE TODAY Which of these statements is most likely correct about Newton's law on gravity? (2 points)
yKpoI14uk [10]
_______________________a
4 0
3 years ago
planet a takes one year to go around the sun at a distance of one au. .planet b is three a u. from the sun. how many years does
shtirl [24]

Answer:

3 years

Explanation:

Find the circumference of each orbit in AU.

2xπx1=6.283185307

2xπx3=18.84955592

Divide them.

18.84955592/6.283185307=3

3 years

4 0
3 years ago
Why do nations should establish a set of rules and principles for responsible lunar/moon explortions? ASAP pleaseeee :(
Marianna [84]

So that we do not contaminate it with microorganisms or garbage or other human stuff.

5 0
3 years ago
Other questions:
  • The diagram shows that currently about 100 gigatons/year of carbon are moved from the atmosphere to vegetation on land. Which pr
    15·2 answers
  • Which of the following leads most directly to the production of igneous rocks?
    8·1 answer
  • To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he begins to turn with a constant a
    12·1 answer
  • A neighborhood transformer on the top of a utility pole transforms 19.0 kV 60.0 Hz alternating voltage down to 120.0 V to be use
    12·1 answer
  • A 500 pF capacitor is charged up so that it has 10μC of charge on its plates. The capacitor is then quicklyconnected to a 10 H i
    9·1 answer
  • Mechanical Energy is _______ when the amount of kinetic and potential energies added together remains the same.
    9·1 answer
  • How do you think the weight and the lift should not be one of the same magnitude​
    5·1 answer
  • State joole's law of<br>heating and verify<br>experimentally​
    15·1 answer
  • On which teeth are brackets most commonly
    8·1 answer
  • Which term names the part of a sound wave by which frequency or pitch is measured?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!