Answer:
[tex]14.98\ \text{kg m/s}[/tex]
[tex]45.26^{\circ}[/tex]
Explanation:
[tex]P_1[/tex] = Initial momentum of the pin = 13 kg m/s
[tex]P_i[/tex] = Initial momentum of the ball = 18 kg m/s
[tex]P_2[/tex] = Momentum of the ball after hit
[tex]55^{\circ}[/tex] = Angle ball makes with the horizontal after hitting the pin
[tex]\theta[/tex] = Angle the pin makes with the horizotal after getting hit by the ball
Momentum in the x direction
[tex]P_i=P_1\cos55^{\circ}+P_2\cos\theta\\\Rightarrow P_2\cos\theta=P_i-P_1\cos55^{\circ}\\\Rightarrow P_2\cos\theta=18-13\cos55^{\circ}\\\Rightarrow P_2\cos\theta=10.54\ \text{kg m/s}[/tex]
Momentum in the y direction
[tex]P_1\sin55=P_2\sin\theta\\\Rightarrow P_2\sin\theta=13\sin55^{\circ}\\\Rightarrow P_2\sin\theta=10.64\ \text{kg m/s}[/tex]
[tex](P_2\cos\theta)^2+(P_2\sin\theta)^2=P_2^2\\\Rightarrow P_2=\sqrt{10.54^2+10.64^2}\\\Rightarrow P_2=14.98\ \text{kg m/s}[/tex]
The pin's resultant velocity is [tex]14.98\ \text{kg m/s}[/tex]
[tex]P_2\sin\theta=10.64\\\Rightarrow \theta=sin^{-1}\dfrac{10.64}{14.98}\\\Rightarrow \theta=45.26^{\circ}[/tex]
The pin's resultant direction is [tex]45.26^{\circ}[/tex] below the horizontal or to the right.
The megnitude and the direction of the resultant velocity of the pin willl be 14.98 Kgm/sec and 45.26° below the horizontal or to the right.
What is momentum?The momentum is defined as the product of mass and the velocity of the body. It is denoted by the letter P. It occurs due to the applied force. Its unit is Kg m/s².
The given data in the problem is;
P₁ is the initial momentum of the pin = 13 kg m/s
[tex]\rm p_i[/tex] is the initial momentum of the ball = 18 kg m/s
P₂ is the momentum of the ball after hit
[tex]\rm \theta[/tex] is the angle the pin makes with the horizotal after getting hit by the ball
Momentum in x direction;
[tex]\rm P_i= P_1 cos \theta + P_2 cos \theta \\\\ P_2cos \theta = P_i -P_i cos 55^0 \\\\ P_2cos \theta = 10.54 \ Kgm/s[/tex]
Momentum in y direction;
[tex]\rm P_i sin\theta = P_2 sin\theta \\\\ P_2 sin\theta =13 sin 15^0 \\\\ P_2 sin\theta =10.64 \ kgm/sec[/tex]
[tex](P_2 cos \theta )^2 + (P_2 sin \theta)^2 = P_2^2 \\\\ \rm P_2 = \sqrt{(10.54)^} +(10.64)^2[/tex]
[tex]\rm P_2 = 14.98 \ kgm/sec[/tex]
The direction of the resulatnt velocity is find as;
[tex]P_2 sin\theta = 10.64 \\\\ \theta = sin^{-1 } \frac{10.64}{14.98} \\\\ \theta=45.26^0[/tex]
Hence the megnitude and the direction of the resultant velocity of the pin willl be 14.98 Kgm/sec and 45.26° below the horizontal or to the right.
To learn more about the momentum refer to the link;
https://brainly.com/question/4956182
give reason: the liquid pressure varies with the depth.
can I get the answer fast??
Answer:
This is due to an increase in hydrostatic pressure, the force per unit area exerted by a liquid on an object. The deeper you go under the sea, the greater the pressure of the water pushing down on you.
please actually answer the question
a body complete 400 j work in 5 second.what is its power
Answer:
80 watts
Explanation:
power= energy / time
400/5 = 80
solve for x 19.2=x/98.9
How to find pressure when mass and area is given?
Answer:
Pressure and force are related, and so you can calculate one if you know the other by using the physics equation, P = F/A. Because pressure is force divided by area, its meter-kilogram-second units are newtons per square meter, or N/m2.
Explanation:
Do you not feel the pressure when mass is on you?
1.Explain how a beach ball and a bowling ball can be similar in sizebut differ in physical properties Be sure to discuss densitymass colorsize, and volume
2. How would each behave if you tossed them into air?
Answer:
well a beach ball could be any size at all a bowling ball is usually the same size the weight difference is inside of them inside the beach ball there's air although in a bowling ball there's cement or rock i don't know what they put inside the ball but anyway the bowling ball a lot higher density o it has more volume so the bowling ball is a lot heavier than just a beach ball
Explanation:
I need help in question 9 plzzz
True is the correct answer
The water-balloon weighs 4.9 N. gravitational field strength = 9.8 N/kg Calculate the mass of the water-balloon
Answer:
0.5kg
Explanation:
Mass = Weight / Gravitational field strength
Mass = 4.9 / 9.8
Mass = 0.5
_______is a speed in a certain direction.
a. Acceleration
b. Friction
C. Momentum
d. Velocity
a roller coaster accelerates from initial velocity of 6.0 m/s to a final velocity of 70 m/s over 4 seconds . what is the acceleration ?
two forces of 1.5N and 2.0N act vertically at two ends of a meter scale.Where and in what direvtion should a force should be applied so that the scale remains horizontally stable
Answer:
.5 newtons on the 1.5 N side
How much tension must a rope withstand if it is used to accelerate a 6526 kg car vertically upwards at 8.9 m/s^2?
Answer:
The value is [tex]T = 122036.2 \ N[/tex]
Explanation:
From the question we are told that
The mass of the car is [tex]m = 6526 \ kg[/tex]
The acceleration is [tex]a= 8.9 \ m/s^2[/tex]
Generally the net force applied on the rope is mathematically represented as
[tex]F_{net} = T - W[/tex]
Here W is the weight of the car which is evaluated as
[tex]W = m * g[/tex]
=> [tex]W = 6526 * 9.8[/tex]
=> [tex]W = 63954.8 \ N[/tex]
Generally the net force can also be mathematically represented as
[tex]F = m * a[/tex]
So
[tex]m * a = T - 63954.8[/tex]
=> [tex]6526 * 8.9 = T - 63954.8[/tex]
=> [tex]T = 122036.2 \ N[/tex]
A student thinks that any real vibration must be damped. Is the student correct? If so, give convincing reasoning. If not, give an example of a real vibration that keeps constant amplitude forever if the system is isolated.
Answer:
Yes the student is correct
Explanation:
The first law of thermodynamics states that energy can neither be created nor destroyed
The second law of thermodynamics states that the entropy (disorderliness) of an isolated system always increases
Therefore, whereby energy is not supplied to maintain the orderly oscillatory motion with constant amplitude, the amplitude of the system is bound to reduce with time that is the vibration of the system must be damped
why it is important to have regular supervision of the weights and measurements in the marked?
Explanation:The fundamental answer is that without regular supervision of, and definitions of, weights and measures, commerce and exchange would be impossible, and there would be no market whatsoever for anything.
Explanation:
#Shadow
The rate of acceleration for a basketball that is falling to the ground is 9.8 meters per second. The force exerted on the basketball is 29.4 Newtons. What is the mass of the object?
How are computers used in education and entertainment? List them.
Answer:
The computers used in education and entertainment are:
Explanation:
Analog computer,Digital COMPUTER,Hybrid Computer
2.
Which of the following gear speeds
makes motor vehicle move faster?
a) 0
b) 11
c) 2
d) 3
e) 4
Answer:
e.4
Explanation:
what is friction. what are the two important properties of friction
Answer: 1. It always acts in the direction opposite to the direction of motion. 2. It's magnitude is equal to that of the force trying to set the object in motion only until it starts to move.
Explanation: Properties of frictional forces:
1. Frictional force always acts parallel to two planes in contact with each other and in a direction opposite to that of relative motion of the two bodies. 2. Frictional forces are caused due to intermolecular interactions between the bodies.
Explanation:
force is a force between two surfaces that are sibling
1. it acts parrell
2. it is caused due to intermolecular interactions between two bodies
plzzzz mark me brainliest
How would you describe the relationship of an object’s speed
Answer: Average speed is distance divided by time interval for the distance traveled.
Explanation: I hope that helped!
please help mee I’ll give brainliest
Answer:
It has potential energy and then the eg=nergy goes to the bug killing it becay=use of the force
Explanation:
"use the force luke"
Answer:
It has potential energy and then the energy goes to the bug killing it because of the force
Explanation:
What causes earth's magnetic field to flip?
Answer:
The generation of Earth's magnetic field starts at its very center. Some researchers believe polarity reversals are caused by a disturbance in the balance between Earth's rotation and the temperature at the core, which alters the fluid motion of the liquid iron, but the exact process remains a mystery.
A 5-N force is applied to a 3-kg ball to change its velocity from +9 m/s to +3 m/s. What is the impulse?
Answer:
-18 Nm
Explanation:
Impulse = Change of Momentum
I = ∆p
I = mv2 - mv1
I = 3 x 3 - 3 x 9
I = 9 - 27
I = -18 Nm
Which substance is a heterogeneous mixture?
Cheddar cheese
clean air
Granola bar
Drinking water
Answer:
Granola Bar
heterogeneous: Makeup of the object can be separated: In this case; oats, nuts, fruit etc.
Explanation:
All the other options are homogenous.
Cheddar cheese: consistent make-up
Drinking water: H20 plus sanitizers like chlorine but is not separable
Clean air: Oxygen and nitrogen mixture
Which example demonstrates constant speed with changing direction?
Uniform circular motion is defined as the constant-speed movement of an object in a circle.
What is Speed?The definition of speed is. The rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling.
Speed is classified as a scalar quantity because it has only one direction and no magnitude.
In summary, the act of turning away or in the opposite direction. reversal, reverse, reversion, turnabout, turnaround.
Learn more about Speed here:
https://brainly.com/question/13943409
#SPJ1
A box has a mass of 150kg and the surface area of the bottom of the box is :
[tex]15m {}^{2} [/tex]
. How much pressure the box will exert on the floor?
Answer:
Pressure = 100 Pascals
Explanation:
[tex]pressure = \frac{force}{area} \\ = \frac{150 \times 10}{15} \\ = \frac{1500}{15} \\ = 100 pa[/tex]
True or False. The speed of light is sped up by dense media.
A professional baseball player can throw the ball around 45 m/s if the distance between the pitcher and the batter is 18.39 m. How much time does it take for the ball to get to the batter?
Answer:
The time taken for the ball to get to the batter is 0.41 s.
Explanation:
Given;
initial velocity of the baseball, u = 45 m/s
horizontal distance between the pitcher and the batter, X = 18.39 m
The horizontal distance or range of a projectile is given as;
X = ut
where;
t is the time of flight
u is the initial velocity
t = X / u
t = 18.39 / 45
t = 0.41 s
Therefore, the time taken for the ball to get to the batter is 0.41 s.
What happens to cause the tissue around a cut to become swollen, red, and
painful?
A. Fluid and white blood cells move into the tissue from nearby blood
vessels.
B. White blood cells burst and release wastes made by digesting
pathogens.
C. Lymph nodes develop in the tissue and begin trapping pathogens.
D. Chemical messengers released by the tissue cause nearby
muscles to contract and pull on bones.
SUBM
Answer:
The answer is A. Fluid and white blood cells move into the tissue from nearby blood vessels.
Explanation:
Answer:
A is the Answer
Explanation:
I took the test
guys HELP PLS find the probability
Answer:
45/139
Explanation:
there are 45 green candies that you could pick out of a total of 139 candies.
la) What is meant by the term Basic Quantities.
Answer:
A basic quantity is basically the physical quantity that can not be defined in terms of other quantities.
Explanation:
A basic quantity is basically the physical quantity that can not be defined in terms of other quantities.
Some of the names of the basic quantities include:
Mass, denoted by the symbol 'm', with S.I. unit 'kg'Length, denoted by symbol 'l', with S.I. unit 'm'Time, denoted by symbol 't', with S.I. unit 's'Current, denoted by 'I', with S.I. unit 's' 'A'Temperature, denoted by 'T', with S.I. unit 'K'Amount of substance, denoted by 'n', with S.I. unit 'mol'Luminous Intensity, denoted by 'Iv', with S.I. unit 'cd'A basic quantity is chosen arbitrarily.