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N76 [4]
3 years ago
6

A billiard ball with a mass of 1.5kg is moving at 25m/s and strikes a second ball with a mass of 2.3 kg that is motionless. Find

the velocity of the second ball if the first ball stops when it strikes the second ball.
Physics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

The velocity of the second ball after the collision will be 16.3 m/s.

Step-by-Step Explanation:

Law of conservation of momentum states that the total momentum of an isolated remains the same before and after the collision.

Let: mass of the first ball = m1 = 1.5 kg

mass of the second ball = m2 =  2.3 kg

Momentum before the collision:

velocity of the first ball = v1 = 25 m/s

velocity of the second ball = v2 = 0 m/s

[tex] Initial momentum = m1v1 + m2v2 = 1.5*25 + 2.3*0 = 37.5 kgm/s [\tex]

Momentum after the collision:

velocity of the first ball = v1 = 0 m/s

velocity of the second ball = v2 = x

[tex]momentum after the collision= m1v1 + m2v2 = 1.5*0 + 2.3*x = 2.3*x[\tex]

According to law of conservation of momentum:

Initial momentum = Momentum after collision

37.5 = 2.3*x

⇒ x = 37.5/2.3

x = 16.3 m/s

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garik1379 [7]
First we need to convert everything into SI units.

The initial volume of the gas is (keeping in mind that 1 L = 0.001 m^3:
V_i = 5.0 L = 0.005 m^3

The initial pressure of the gas is (keeping in mind that 1 atm = 1.01 \cdot 10^5 Pa:
p_i = 1.50 atm=1.52 \cdot 10^5 Pa

The final pressure of the gas is (keeping in mind that 760 mmHg = 1 atm=1.01 \cdot 10^5 Pa)
p_f = 1240 mmHg = 1.65 \cdot 10^5 Pa

At constant temperature, the product between pressure and volume of the gas is constant, so we can write
p_i V_i = p_f V_f

from which we find the final volume of the gas:
V_f =  \frac{p_i V_i}{p_f} = \frac{(1.52 \cdot 10^5 Pa)(0.005 m^3)}{1.65 \cdot 10^5 Pa} =0.0046 m^3 = 4.6 L
5 0
3 years ago
Draw a ray diagram for a diverging lens that has a focal length of -10 cm when an object is placed 30 cm from the lens's surface
Bond [772]

Explanation:

Hello, nice to meet you.

this answer will help for you

4 0
2 years ago
In the figure, a weightlifter's barbell consists of two identical small but dense spherical weights, each of mass 50 kg. These w
kondaur [170]

The moment of inertia is 24.8 kg m^2

Explanation:

The total moment of inertia of the system is the sum of the moment of inertia of the rod + the moment of inertia of the two balls.

The moment of inertia of the rod about its centre is given by

I_r = \frac{1}{12}ML^2

where

M = 24 kg is the mass of the rod

L = 0.96 m is the length of the rod

Substituting,

I_r = \frac{1}{12}(24)(0.96)^2=1.84 kg m^2

The moment of inertia of one ball is given by

I_b = mr^2

where

m = 50 kg is the mass of the ball

r=\frac{L}{2}=\frac{0.96}{2}=0.48 m is the distance of each ball from the axis of rotation

So we have

I_b = (50)(0.48)^2=11.5 kg m^2

Therefore, the total moment of inertia of the system is

I=I_r + 2I_b = 1.84+ 2(11.5)=24.8 kg m^2

Learn more about inertia:

brainly.com/question/2286502

brainly.com/question/691705

#LearnwithBrainly

6 0
3 years ago
Richard is driving home to visit his parents. 135 mi of the trip are on the interstate highway where the speed limit is 65 mph .
Elis [28]
<h2>Answer:</h2>

He saves 13.2 minutes

<h2>Explanation:</h2>

Hey! The question is incomplete, but it can be found on the internet. The question is:

How many minutes did he save?

Let's call:

t_{1}:Time \ at \ speed \ 65mph \\ \\ t_{2}:Time \ at \ speed \ 73mph \\ \\ v_{1}=65mph \\ \\ v_{2}=73mph

We know that the 135 miles are on the interstate highway where the speed limit is 65 mph. From this, we can calculate the time it takes to drive on this highway. Assuming Richard maintains constant the speed:

v=\frac{d}{t} \\ \\ d:distance \\ \\ t:time \\ \\ v:velocity \\ \\ t_{1}=\frac{d}{v_{1}} \\ \\ t=\frac{135}{65} \\ \\ t_{1}=2.07 \ hours

Today he is running late and decides to take his chances by driving at 73 mph, so the new time it takes to take the trip is:

t_{2}=\frac{135}{73} \\ \\ t_{2}=1.85 \ hours

So he saves the time t_{s}:

t_{s}=t_{1}-t_{2}=2.07-1.85=0.22 \ hours

In minutes:

t_{s}=0.22h\left(\frac{60min}{1h}\right) \\ \\ \boxed{t_{s}=13.2min}

5 0
3 years ago
What distance will be traveled if you are going 120km/hr for 30 min? steps please
ArbitrLikvidat [17]
D= Speed x Time
Then you convert 120km/hr to m/s depends in wich unifs you want them
120/hr to m/s it's 33.3 m/s and then 30min to seconds it's 1800
D= 33.3m/s(1800s)
D= 59940m
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