Answer: 20 m/s
Explanation:
Given
mass of bowling ball m=10 kg
Mass of bowling pin M=20 kg
The initial velocity of ball u=10 m/s
The velocity of the pin after collision [tex]v_2=15\ m/s[/tex]
Conserving linear momentum as there is no external force applied
[tex]mu=mv_1+Mv_2\quad \quad (v_1=\text{velocity of ball after collision})[/tex]
[tex]10\times10=10\times v_1+20\times15\\10v_1=100-300\\v_1=-20\ m/s[/tex]
i.e. ball started moving in the direction opposite of its initial direction with a velocity of 20 m/s
The ball moves backwards with a velocity of -20m/s
The data given are;
m[tex]_1[/tex] = 10kgm[tex]_2[/tex] = 20kgu[tex]_1[/tex] = 10m/sv[tex]_1[/tex] = ?v[tex]_2[/tex] = 15m/sLaw of conservation of linear momentumThis law states that assuming no external forces are acting, when two bodies collide together, the sum of their initial momentum remains constant and it's not changed by their collision.
Applying the law of conservation of linear momentum
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2\\(10*10) + (20*0) = (10*v_1)+(20*15)\\100+0=10v_1+300[/tex]
collect like terms
[tex]100=10v_1+300\\100-300=10v_1\\-200=10v_1\\v_1=\frac{-200}{10}\\v_1=-20m/s[/tex]
This shows that the balls moves backwards hence the reason why it have a negative velocity.
From the calculation above, the ball moves backwards with a velocity of -20m/s.
Learn more on conservation of linear momentum here;
https://brainly.com/question/7538238
https://brainly.com/question/25545050
A 0.02kg bullet is traveling with a speed of 300m/s when it hits a wall. Assuming it comes to rest after traveling 0.1m with constant deceleration into the wall.
1. Calculate the work done by the wall on the bullet as the bullet comes to a stop.
2. Calculate the deceleration of the bullet as it comes to a stop.
Answer:
1. W = 900 J
2. a = -450000 m/s²
Explanation:
2.
First, we calculate the deceleration of the bullet by using 3rd equation of motion:
[tex]2as = V_{f}^{2} - V_{i}^{2}\\[/tex]
where,
a = deceleration = ?
s = distance traveled = 0.1 m
Vf = Final Speed = 0 m/s (it eventually stops)
Vi = Initial Speed = 300 m/s
Therefore,
[tex]2a(0.1\ m) = (0\ m/s)^{2} - (300\ m/s)^{2}\\a = \frac{-90000\ m^{2}/s^{2}}{0.2\ m}\\\\[/tex]
a = -450000 m/s² (negative sign shows deceleration)
1.
Now, we calculate the force using Newton's Second Law:
[tex]F = ma\\F = (0.02\ kg)(-450000\ m/s^{2})\\F = - 9000\ N[/tex]
Negative sign shows decelerating force.
For work done:
[tex]Work\ Done = W = Fs\\W = (9000 N)(0.1\ m)[/tex]
W = 900 J
a boat is moving across a lake during a race at a rate of 63m/s^2 and reaches a velocity of 96m/s.how long did it take the boat accelerate?
Answer:
1.52s
Explanation:
Given parameters:
Acceleration = 63m/s²
Final velocity = 96m/s
Unknown:
Time taken = ?
Solution:
To solve this problem, we use one of the kinematics equation:
v = u + at
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time taken
So;
96 = 0 + 63t
t = 1.52s
Explain your answers to 9a and 9b in terms of Newton's laws of motion.
Answer:i One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored:
Explanation:
Estimate the monthly cost of using a 700 W refrigerator that runs for 10 hours a day if the cost per kilowatt hours is cents $.20
Answer:
$4.2
Explanation:
Given data
Power= 700W
time= 10 hours
Cost per kilowatt hours is cents $0.20
Let us find the number of hours in a month
=24*30
=720 hours
Energ= power*time
Energy= 700/1000*30
Energy= 7*3
Enery= 21 kwh
1 kwh= 0.2
21kwh= x
cross multiply
x=21*0.2
x= $4.2
PLEASE HELP
Which of the following is a force?
Momentum
Friction
Acceleration
Velocity
The exchange of materials between a cell and its environment takes place across cell?A. MitochondriaB. MembraneC. NucleusD. Nucleolus
Answer:
I'm not 100% sure but I think its Cell membrane
Explanation:
please, correct me if i'm wrong.
An empty glass beaker has a mass of 103 g. When filled with water, it has a total mass of 361g.
When filled with cooking oil, it has a total mass of 351 g.
The density of water is 1.00 gcm–3.
What is the density of the cooking oil?
Answer:
0.96 gcm¯³
Explanation:
From the question given above, the following data were obtained:
Mass of empty beaker = 103 g
Mass of beaker + water = 361 g
Mass of beaker + oil = 351 g
Density of water = 1 gcm¯³
Density of cooking oil =?
Next, we shall determine the mass of water. This can be obtained as follow:
Mass of empty beaker = 103 g
Mass of beaker + water = 361 g
Mass of water =?
Mass of water = (Mass of beaker + water) – (Mass of empty beaker)
Mass of water = 361 – 103
Mass of water = 258 g
Next, we shall determine the volume of the beaker. This can be obtained by calculating the volume of water in the beaker.
Density of water = 1 gcm¯³
Mass of water = 258 g
Volume of water =?
Density = mass /volume
1 = 258 / volume
Cross multiply
1 × volume = 258
Volume of water = 258 cm³
Thus the volume of the beaker is 258 cm³.
Next, we shall determine the mass of the cooking oil. This can be obtained as follow:
Mass of empty beaker = 103 g
Mass of beaker + oil = 351 g
Mass of cooking oil =?
Mass of cooking oil = (Mass of beaker + oil) – (Mass of empty beaker)
Mass of cooking oil = 351 – 103
Mass of cooking oil = 248 g
Finally, we shall determine the density of the cooking oil. This can be obtained as follow:
Mass of cooking oil = 248 g
Volume of the beaker = 258 cm³
Density of cooking oil =?
Density = mass / volume
Density = 248 / 258
Density of cooking oil = 0.96 gcm¯³
I need help with this. Lab: Conservation of Linear Momentum
Assignment: Lab Report Urgent!!
can anyone help me with this last question?
Answer:
v = 39.6 m/s (first answer option)
Explanation:
Use conservation of mechanical energy.
The starting is completely potential energy and the final is all kinetic energy:
[tex]m*g*h=\frac{1}{2}*m*v^2\\g * h=\frac{1}{2} v^2\\9.8*80=\frac{1}{2} v^2\\v^2=1568\\v\approx 39.6\,\,m/s[/tex]
which agrees with the first answer shown.
Describe your experience with the largest earthquake you have left
Answer:
The largest earthquake ever been recorded is explained below in detail.
Explanation:
Earthquakes are normally produced when stone underground swiftly fractures along a fault. This immediate discharge of pressure causes the seismic waves that make the terrain shake.
Valdivia Earthquake was the most strong quake was the 9.5-magnitude Valdivia Earthquake that punched in Chile in 1960, That quake generated a tsunami, which together slaughtered an approximated 5,700 people.
What is the resistance (R) when voltage is 179V and current is 5 Amps?
Answer:
R = 35.8 Ω
Explanation:
Recall Ohm's Law:
V = I * R
then R = V / I
in our case:
R = 179 V / 5 A = 35.8 Ω
which statement best compares and contrasts two physical properties of natter
Answer:
D.
Explanation:
There are three physical properties of matter that involves solid, liquid and gas.
The last statement is correct as it says: boiling and melting points are similar as both changes the physical state of matter. But are different as boiling point changes liquid into gas for example: liquid at high boiling point changes into vapors (gas) and melting point changes solid into liquid for example: ice at high melting point changes into liquid.
Hence, the correct option is "D".
What happens to an object's gravitational potential energy as it falls from some height?
Answer:
Decreases
Explanation:
As an object falls from some height, the gravitational potential energy of the object decreases.
Potential energy is the energy due to the position of a body.
The potential energy is mathematically expressed as:
Potential energy = mass x acceleration due to gravity x height
So, potential energy is directly proportional to mass and height.
The higher the mass and height, the more the potential energy.
Would anyone be able to o an application of physics project for me, it has to be 500 words l m a o
It's velocity changes, but its speed remains the same.
The
true or false
Answer:
True
Explanation:
Velocity is a vector quantity, which means that it carries both magnitude and direction. Hence when direction of a particle changes, although magnitude (speed) may remain same, it's velocity changes due to direction change. For ex. A particle is m... A particle is moving along x axis with speed 1m/s, it's velocity will be represented as 1i (i represents unit vector along x)
But if it now starts moving along y axis, it's velocity is 1j (j represents unit vector along y axis). Hence velocity changes with direction.
brainllest pls .
The work output of a lever used to lift books is 30 Joules and the work input is 60 Joules.
What is the efficiency of this lever?
Answer:
50%
Explanation:
Given parameters:
Work output = 30J
Work input = 60J
Unknown:
Efficiency of the lever = ?
Solution:
To solve this problem, the efficiency is taken as the ratio of the work output to that of the work input;
Efficiency = Work output / Work input x 100
Efficiency = [tex]\frac{30}{60}[/tex] x 100 = 50%
Where does the
energy used to
complete the task
come from? What
evidence do you
have that the energy
involved in the crane'
example is different
from that in the
wind-up toy
example?
Answer:
it comes from your knowledge and the information you have to get the reason why that is the answer so you are putting together things that you already know what the new information you have
A cannon recoils while firing a cannonball. The speed of the cannon's recoil is relatively small because the
Answer:
Explanation:
The canon is heavier than the canon ball.
shows the relationships among the solid, liquid and gas states as a function of temperature and pressure.
A: phase diagram
B: heat energy diagram
C: heating curve
Answer:
Phase Diagram I Think But I Just Searched It Online
A 2kg mass moving at 1 m/s has a kinetic energy equal to...?
Answer:
kinetic energy = 1/2mv2
= 1/2 x 2 x 3^2
= 9J
Explanation:
It took 80 joules to push a chair 5 meters across the floor. How much force was used?
Answer Maybe try 400
Explanation:
Multiply
Answer:
16 Newtons
Explanation:
The equation for work is Joules = Force x Distance(Meters). Substituting in the values leaves us with 80 = F * 5. Evaluating this equation, we can conclude that the amount of force used was in fact 16 Newtons.
An 10 kg mass has an applied force of magnitude 69N acting on it pushing it to move in the positive x-direction. The mass is on a flat surface that has a coefficient of kinetic (Uk) friction of 0.5.with respect to the object. What is the magnitude of the acceleration of the object?
The net force on the mass in the vertical direction is
∑ F = n - w = 0
and the net horizontal force is
∑ F = A - f = ma
where
n = magnitude of the normal force
w = mg = weight of the mass
m = 10 kg, mass of the … uh, mass
g = 9.8 m/s², mag. of acceleration due to gravity
A = 69 N, mag. of the applied force
f = mag. of kinetic friction
From the first equation, we get
n = mg = (10 kg) (9.8 m/s²) = 98 N
Then the friction force has magnitude
f = µ n = 0.5 (98 N) = 49 N
Solve the mass's acceleration in the second equation:
69 N - 49 N = (10 kg) a
a = (20 N) / (10 kg) = 2.0 m/s²
in the positive x direction.
Household appliances convert electricity into one or more different forms of energy. An electric fan can be described as converting electricity into :
Answer: heat energy, sound energy, and mechanical energy only
Explanation: I did the test in got it right.
How much potential energy does a 75 kg diver have stepping off the edge of a 5 meter platform?
Answer:
3.678kJ
Explanation:
Given
mass= 75kg
height= 5 m
g= 9.81m/s^2
Required
Potential energy
PE= mgh
substitute
PE= 75*9.81*5
PE=3678.75J
PE= 3.678kJ
The heating element in a kettle behaves like a resistor. A particular kettle needs to operate at 230 V, with a power of 1500 W. Calculate the resistance which the heating element needs to have
Answer:
R = 35.27 Ohms
Explanation:
Given the following data;
Voltage = 230V
Power = 1500W
To find the resistance, R;
Power = V²/R
Where:
V is the voltage measured in volts.
R is the resistance measured in ohms.
Substituting into the equation, we have;
1500 = 230²/R
Cross-multiplying, we have;
1500R = 52900
R = 52900/1500
R = 35.27 Ohms.
Therefore, the resistance which the heating element needs to have is 35.27 Ohms.
Which diagram represents an open circuit?
A. Circuit D
B. Circuit C
C. Circuit B
D. Circuit A
Help i think its wrong but k
Down
1.Type of energy resource that will never run out - 6 letters
2.Type of energy resource that will never run out - 9 letters
4.Using the Sun’s energy to heat water - 5 letters
Across
3.Ethanol is an example of this type of fuel - 7 letters
5.The burning of these fuels releases carbon dioxide - 6 letters
6.Burning trees is described as carbon ... - 7 letters
7.Damming rivers to generate electricity - 5 letters
8.The energy comes from splitting atoms - 7 letters
Answer:
Hiya your answer's up
Down
6- dioxide
Which property of argon makes it useful for potassium-argon dating?
It decays into potassium.
It is an unstable element.
It remains trapped in rock.
It is useful only for dating newer rock.
Please help 100 points
Answer:
It gets a new rock when it is getting older
Explanation:
pls give me brainlyest
a 4 kg bowling ball videos rolling down a lane at bowling alley at 6 m/s when the ball strikes the pins is moving your 5.1 m/show much energy in the J is lost due to the friction?
Answer:
19.98Joules
Explanation:
Energy possessed by the body is the kinetic energy
Kinetic Energy = 1/2mv²
m is the mass
v is the velocity
For the 4kg moving at 6m/s
kE = 1/2 * 4 * 6^2
KE = 1/2 * 4 * 36
KE = 72Joules
For the 4kg moving at 5.1m/s
kE = 1/2 * 4 * 5.1^2
KE = 1/2 * 4 *26.01
KE = 52.02Joules
Amount of Energy lost = 72 - 52.02
Amount of Energy lost = 19.98Joules
Hence the amount of Energy lost is 19.98Joules
How does heat transfer? (Think temperature)
Answer:
The rate at which temperature changes is proportional to the rate at which heat is transferred.
Explanation:
The temperature of a sample changes more rapidly if heat is transferred at a high rate and less rapidly if heat is transferred at a low rate
