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
mart [117]
3 years ago
14

Block 1, of mass m1 = 3.90 kg , moves along a frictionless air track with speed v1 = 31.0 m/s . It collides with block 2, of mas

s m2 = 51.0 kg , which was initially at rest. The blocks stick together after the collision.
What is the change ΔK=Kfinal−Kinitial in the two-block system's kinetic energy due to the collision?
Physics
2 answers:
Nostrana [21]3 years ago
7 0
The energy would remain equal to that of the initial kinetic energy since it is a frictionless surface. However if it is an inelastic collision then energy would be lost due to sound and heat.
Setler [38]3 years ago
4 0

Answer:

ΔK= -1741. 09 J

Explanation:

Theory of collisions

Linear momentum is a vector magnitude (same direction and direction as velocity) and its magnitude is calculated like this:

P=m*v

where:

p : Linear momentum

m : mass

v : velocity

There are 3 cases of collisions : elastic, inelastic and plastic.

For the three cases the total linear momentum quantity is conserved:

P₀=Pf  Formula (1)

P₀ :Initial  linear momentum quantity

Pf : Initial  linear momentum quantity

Nomenclature and data

m₁:  block 1  mass = 3.90 kg

V₀₁: initial block 1 speed,  =31.0m/s

Vf₁: final  block 1  speed

m₂:  block 2 mass =  51.0 kg

V₀₂: initial  block 2  speed= 0

Vf₂: final  block 2  speed

Problem development

For this problem the collision is plastic ,then, the blocks stick together after the collision and Vf₁=Vf₂=Vf

We assume that the Block 1 moves to the right before the collision (+) and The joined blocks move to the right after the collision(+).

We apply formula (1)

P₀=Pf

m₁*V₀₁+m₂*V₀₂=m₁*Vf₁+m₂*Vf₂

m₁*V₀₁+m₂*V₀₂=(m₁+m₂) Vf

3.9*31+51*0=(3.9+51) Vf

120.9+0 = 54.9*Vf

Vf = 120.9/54.9

Vf = 2.2 m/s

ΔK in the two-block system's kinetic energy due to the collision

ΔK=Kfinal−Kinitial

ΔK: Change in kinetic energy (J)

Kfinal: final kinetic energy (J)

Kinitial : initial kinetic energy (J)

Kinitial=(1/2 )m₁*V₀₁²+(1/2 )m₂*V₀₂²= (1/2 )(3.9)*(31)²+(1/2 )(51)*0=1873.95 J

Kfinal = (1/2 )(m₁+m₂)*Vf²=  (1/2 )(3.9+51)* (2.2)² = 132.85 J

ΔK= 132.85 J−1873.95 J

ΔK= -1741. 09 J

You might be interested in
a car is moving 8.80 m/s when it begins to accelerate at 2.45 m/s^2. how much time does it take to trav 138m. please help me (':
Ulleksa [173]

Answer:

7.6 s

Explanation:

Considering kinematics formula for final velocity as

v^{2}=u^{2}+2as

Where v and u are final and initial velocities, a is acceleration and s is distance moved.

Making v the subject then

v=\sqrt{u^{2}+2as}

Substituting 8.8 m/s for u, 138 m for s and 2.45 m/s2 for a then

v=\sqrt{8.8^{2}+2*2.45*138}\\v=27.45 m/s

Also, v=u+at and making t the subject of the formula

t=\frac {v-u}{a}

Substituting 27.45 m/s for v, 8.8 m/s for u and 2.45 m/s for a then

t=\frac {27.45-8.8}{2.45}=7.6122448979591\approx 7.6s

Therefore, it needs 7.6 seconds to travel

7 0
3 years ago
A penudulum has a period of 6.5s what is its frequency
Sergio039 [100]

Answer:0.153 Hz

Explanation: The relation between Time Period(T) and frequency(f) is given by T=1/f

Plug in the values and u arrive at the answer

5 0
3 years ago
The angular momentum of an electron in each of its orbits must be some multiple of:
Nastasia [14]
The Bohr's proposal for the angular momentum of an electron in Bohr's model of the hydrogen atom is:

L=(n*h)/(2π), where n is the number of the energy level and h is the Planck's constant. This equation shows us the quantization of angular momentum of the electron. So the correct answer is the second one: Planck's constant. 
7 0
3 years ago
9. True or False: Sawmills and gristmills are machines that do not need
gizmo_the_mogwai [7]

Answer:

true can i get brainliest :)

Explanation:

4 0
3 years ago
An air hockey game has a puck of mass 30 grams and a diameter of 100 mm. The air film under the puck is 0.1 mm thick. Calculate
OverLord2011 [107]

Answer:

time required after impact for a puck is 2.18 seconds

Explanation:

given data

mass = 30 g = 0.03 kg

diameter = 100 mm = 0.1 m

thick = 0.1 mm = 1 ×10^{-4} m

dynamic viscosity = 1.75 ×10^{-5} Ns/m²

air temperature = 15°C

to find out

time required after impact for a puck to lose 10%

solution

we know velocity varies here 0 to v

we consider here initial velocity = v

so final velocity = 0.9v

so change in velocity is du = v

and clearance dy = h

and shear stress acting on surface is here express as

= µ \frac{du}{dy}

so

= µ  \frac{v}{h}   ............1

put here value

= 1.75×10^{-5} × \frac{v}{10^{-4}}

= 0.175 v

and

area between air and puck is given by

Area = \frac{\pi }{4} d^{2}

area  =  \frac{\pi }{4} 0.1^{2}

area = 7.85 × \frac{v}{10^{-3}} m²

so

force on puck is express as

Force = × area

force = 0.175 v × 7.85 × 10^{-3}

force = 1.374 × 10^{-3} v    

and now apply newton second law

force = mass × acceleration

- force = mass \frac{dv}{dt}

- 1.374 × 10^{-3} v = 0.03 \frac{0.9v - v }{t}

t =  \frac{0.1 v * 0.03}{1.37*10^{-3} v}

time = 2.18

so time required after impact for a puck is 2.18 seconds

3 0
3 years ago
Other questions:
  • A 2.0 kg wood block is launched up a wooden ramp that is inclined at a 30° angle. The block’s initial speed is 10 m/s. What vert
    10·1 answer
  • joseph put water,sugar,and yeast into a balloon. Then he put the balloon in a warm place for 1 hour.which is most likeley to hap
    10·2 answers
  • The unit for measuring the rate at which light energy is radiated from a source is the
    13·1 answer
  • a sprinter's whose mass is 70 kg accelerstes from rest to 11 m/s in 6 seconds what is the acceleration what force did this requi
    12·1 answer
  • Why do astronauts need to wear pressurized suits in space?
    12·1 answer
  • 26500 in scientific notation
    13·2 answers
  • 1. An astronaut is getting ready to explore. If his mass is 60 kg, what is his weight<br> on Earth?
    9·2 answers
  • PROJECTILE MOTION FOR TWO Rocks-VELOCITY-TIME GRAPHS
    11·1 answer
  • How can you reduce the percentage uncertainty in measurements that you make?​
    6·1 answer
  • Please can someone solve this question ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!