All categories

2 years ago

Pleaseeeeeee I need HELP in 20 mins,Asap!!!

Physics

1 answer:

Juliette [100K]2 years ago

3 0

The velocity of the third piece is 124.02 m/s at 1.05⁰ below the horizontal.

<h3>Velocity of the third piece</h3>

The velocity of the third piece is calculated from the principle of conservation of linear momentum.

mu = m₁u₁ + m₂u₂ + m₃u₃

where;

m is mass of the clay
u is velocity of the clay
u₁ is velocity of first piece
u₂ is velocity of second piece
u₃ is velocity of third piece
m₃ is mass of the third piece = 6 kg - (2 kg + 1 kg) = 3 kg

<h3>Momentum in y - direction</h3>

6(22)sin(0) = 2(10)sin32 - 1(8)sin(28) + 3u₃y

0 = 6.84 + 3u₃y

u₃y = -6.84/3

u₃y = -2.28 m/s

<h3>Change in momentum</h3>

ΔP = Pf - Pi = J

where;

Pf is final momentum
Pi is the initial momentum
J is impulse

2640(0.1) = 2(10)cos32 + 1(8)cos(28) + 3u₃x - 6(22)

264 = -108 + 3u₃x

3u₃x = 372

u₃x = 372/3

u₃x = 124 m/s

<h3>Resultant velocity</h3>

u₃ = √(124² + 2.28²)

u₃ = 124.02 m/s

<h3>Direction of the velocity</h3>

tanθ = u₃y/u₃x

tanθ = 2.28/124

tanθ = 0.018

θ = 1.05⁰ (below the horizontal)

Learn more about linear momentum here: brainly.com/question/7538238

#SPJ1

You might be interested in

PLEASE HELP! Please get these right

umka2103 [35]

Green. This is because chlorophyll reflects the color green, which is why we see it as this color.

7 0

3 years ago

A rocket moves upward from rest with an acceleration of 40 m/s2 for 5 seconds. It then runs out of fuel and continues to move up

Snezhnost [94]

Answer:

Maximum height of rocket = 2538.74 m

Explanation:

We have equation of motion s = ut + 0.5 at²

For first 5 seconds

s = 0 x 5 + 0.5 x 40 x 5² = 500 m

Now let us find out time after 5 seconds rocket move upward.

We have the equation of motion v = u + at

After 5 seconds velocity of rocket

v = 0 + 40 x 5 = 200 m/s

After 5 seconds the velocity reduces 9.8m/s per second due to gravity.

Time of flying after 5 seconds

$t=\frac{200}{9.81}=20.38s$

Distance traveled in this 20.38 s

s = 200 x 20.38 - 0.5 x 9.81 x 20.38² = 2038.74 m

Maximum height of rocket = 500 +2038.74 = 2538.74 m

6 0

3 years ago

After fixing a flat tire on a bicycle you give the wheel a spin. Its initial angular speed was 5.40 rad/s and it rotated 12.3 re

zaharov [31]

To solve this problem it is necessary to apply the concepts related to the kinematic equations of angular motion.

By definition, acceleration can be expressed as the change in angular velocity squared over a given period of distance traveled.

$\alpha = \frac{\omega^2}{2\theta}$

where,

$\omega =$ Angular velocity

$\theta =$ Angular displacement.

In turn, as a function of time, we can represent it as,

$\alpha = \frac{\omega}{t}$

For our case we have to,

$\omega = 5.4rad/s$

$\theta = 12.3rev = 12.3rev(\frac{2\pi rad}{1rev})=24.6\pi rad$

PART A) In the case of angular acceleration we have to,

$\alpha = \frac{\omega^2}{2\theta}$

$\alpha = \frac{(5.4)^2}{2*24.6\pi}$

$\alpha = 0.1886rad/s^2$

PART B) Through the definition of angular acceleration as a function of time we can calculate it,

$\alpha = \frac{\omega}{t}$

$t = \frac{\omega}{\alpha}$

$t = \frac{5.4}{0.1886}$

$t = 28.63s$

3 0

4 years ago

A drawn or written record of star groups in the night sky are called

skelet666 [1.2K]

Answer: A constellations

Explanation: hope it helps

4 0

3 years ago

Read 2 more answers

How is an appliance's power related to the amount of energy it uses?

zysi [14]

The more powerful an appliance is, the more amounts of energy it uses. For instance a jack hammer that does not create a lot of destruction or change does not use a lot of energy. If a jack hammer that creates a lot of destruction and change probably uses a lot more energy and makes more sound.

6 0

3 years ago