Answer:
(a) -6.67 [tex]m/s^2[/tex]
(b) 0.68
Explanation:
Given that the mass of the truck, [tex]m_1=8000[/tex] kg.
Mass of the package, [tex]m_2=3000[/tex] kg.
As the package does not slide, so the acceleration of both, truck as well as the package, is the same.
Let [tex]a\;\; m/s^2[/tex] is the acceleration of the combined mass, m.
[tex]m=m_1+m_2= 8000+3000=11000[/tex] kg.
The initial velocity of the combined mass, u= 20 m/s.
Time required to stop, t=3 seconds.
Final velocity, v=0.
Displacement traveled, s=50 m.
(a) As [tex]a=\frac {v-u}{t}[/tex]
[tex]\Rightarrow a=\frac{0-20}{3}=-\frac{20}{3} =6.67 m/s^2[/tex]
Hence the acceleration of the truck is [tex]-6.67 m/s^2.[/tex]
(b) Now, [tex]a=-6.67 m/s^2[/tex] is the acceleration of the package, this acceleration is due the frictional force, f.
Due to inertia, on application of break, the package have tendency to slide to left (in the direction of velocity). But the package does not slides, this is only due to the frictional force, f, which acts in the right direction ( opposite to the direction of velocity).
So, the magnitude of frictional force required on [tex]m_2[/tex] to avoid slide is
[tex]f=|m_2a|=\frac{20}{3}m_2\times(i)[/tex]
Now, let \mu be the minimum coefficient of the friction, so
The force due to friction, [tex]f_r= \mu N[/tex],
where [tex]\mu N[/tex] is the normal reaction.
[tex]N=m_2g[/tex], where g is the acceleration due to gravity.
So, [tex]f_r=\mu m_2g\cdots(ii)[/tex]
To avoid slide, [tex]f_r\geq f[/tex]
[tex]\Rightarrow \mu m_2g\geq\frac{20}{3}m_2[/tex] [from (i)and (ii)]
[tex]\Rightarrow \mu\geq \frac{20}{3\times 9.81}[/tex] [tex][ as \;g=9.81 m/s^2][/tex]
[tex]\Rightarrow \mu \geq 0.68[/tex]
Hence, the minimum value of coefficient of friction between packages and the truck os 0.68.
Newton is derived unit why
Answer:
Newton is derived unit
Explanation:
Because it depends upon three fundamental units i.e kg,m and s
Hope it helps you.
A force of 6.00 N acts in the positive direction on a 3.00 kg object, originally traveling at +15.0 m/s, for 10.0 s. (a) What is the object's change in momentum?
Answer:
60 kg m/s
Explanation:
Let [tex]a\;\; m/s^2[/tex] be the acceleration of the object.
As the acceleration of the object is constant, so
[tex]a=\frac {v-u}{t}\cdots(i)[/tex]
Given that applied force, F=6.00 N,
From Newton's second law, we have
[tex]F= m\times a[/tex],
[tex]\Rightarrow F=\frac {m(v-u)}{t}[/tex] [from equation (i)]
[tex]\Rightarrow Ft=m(v-u)[/tex]
[tex]\Rightarrow Ft=mv-mu[/tex]
[tex]\Rightarrow mv-mu=6\times 10[/tex] [given that time, t=10 s and F=6 N]
[tex]\Rightarrow mv-mu=60 kg \;m/s[/tex]
Here mv is the final momentum of the object and mu is the initial momentum of the object.
So, the change in the momentum of the object is mv-mu.
Hence, the change in the momentum of the object is 60 kg m/s.
The change in momentum of object is 60 kg-m/s.
Given data:
The magnitude of force is, F = 6.00 N.
The mass of object is, m = 3.00 kg.
The speed of object is, v = 15.0 m/s.
The time interval is, t = 10.0 s.
The change in momentum is mathematically equal to the difference between the final momentum and initial momentum of object. And it is obtained from the impulse-momentum concept as,
[tex]F=\dfrac{\Delta p}{t}\\\\\Delta p = F \times t[/tex]
Solving as,
[tex]\Delta p = 6.00 \times 10\\\\\Delta p =60.0 \;\rm kg.m/s[/tex]
Thus, we can say that the change in momentum of object is 60 kg-m/s.
Learn more about the change in momentum here:
https://brainly.com/question/904448
Milk of magnesia is a slippery, bitter-tasting white substance that is commonly used as a laxative. If the pH of milk of magnesia is between 10 and 11, it can best be described as a
Answer:
a moderate base
Explanation:
Milk of magnesia is popularly known as magnesium hydroxide. Magnesium hydroxide Mg(OH)₂ is used as an anti-acid in toothpaste and medically as a mild laxative.
Its pH values range between 10- 11 on the pH scale.
A solution with pH value of 7 is neutral(i.e. neither acidic nor basic.
A pH value which is less than 7 is acidic while a pH value greater than 7 is basic.
For a pH value between 12 -14 on the pH scale is said to be a strong base.
Since Milk of magnesia Mg(OH)₂ pH values ranges between 10- 11 on the pH scale, it is known to be moderately basic.
A iPhone charger system producing 14.5 Volts with a current flow of 43.5 Amps. What is the circuit resistance?
Answer:
The resistance of the circuit is 0.[tex]\bar 3[/tex] Ω
Explanation:
The given parameters are;
The voltage the charger produces = 14.5 Volts
The current flow of the charger = 43.5 Amps
Therefore, the resistance of the circuit, R = Voltage V/(Current, I)
R = V/I = 14.5/43.5 = 1/3 = 0.[tex]\bar 3[/tex] Ohms
The resistance of the circuit = 0.[tex]\bar 3[/tex] Ohms
Which can be written with the symbol for the unit of resistance Ω as follows;
The resistance of the circuit = 0.[tex]\bar 3[/tex] Ω.
Energy; Resources and Forms
how do you measure joules ?
Answer:
joules = newtons x meters
Explanation:
Work is equal to the force that is exerted, multiplied by the distance over which it is exerted.
In equation form:
joules (work) = newtons (force) x meters (distance) ,
A joule is the unit of work.
Hope this helped!! :)
Can you please check if the answer I checked the right
Answer:
yeah that is correct that what I think
While in a car at 4.47 meters per second a passenger drops a ball from a height of 0.70 meters above the top of a bucket how far in front of the bucket should the passenger drop the ball such that the ball will land in the bucket?
Answer:
1.7 m
Explanation:
[tex]v_x[/tex] = Velocity of ball in x direction = 4.47 m/s
[tex]u_y[/tex] = Velocity of ball in y direction = 0
g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
t = Time taken
[tex]s_y[/tex] = Vertical displacement = 0.7 m
[tex]s_y=u_yt+\dfrac{1}{2}gt^2\\\Rightarrow 0.7=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{0.7\times 2}{9.81}}\\\Rightarrow t=0.38\ \text{s}[/tex]
Horizontal displacement is given by
[tex]s_x=v_xt\\\Rightarrow s_x=4.47\times 0.38\\\Rightarrow s_x=1.7\ \text{m}[/tex]
The passenger should throw the ball 1.7 m in front of the bucket.
DESPERATE WILL GIVE BRAINLIST and thanks
Radiometric dating is a form of relative dating.
Question 4 options:
True
False
Answer: True
Explanation:
(i hope this helps sorry kinda late but i did not see any answers)but can i have brainlist
DESPERATE WILL GIVE BRAINLIST AND THANKS
The Cenozoic Era was the “age of the dinosaurs.”
Question 2 options:
True
False
Answer:
false
Explanation:
Answer:
false
Explanation:
The Cenozoic Era is the current Era it's also called the new life era. Dinosaurs appeared in the Triassic era.
Please solve C and F ASAP!!! I will give the first person to answer brainiest!!
(c) The potential energy at A is the same as the kinetic energy at B. So
m g h = 1/2 m v²
where m is the mass of the object at the end of the pendulum, g is the magnitude of the acceleration due to gravity, h is the height of the object at point A relative to B, and v is the object's maximum speed. So
(3.8 kg) (9.80 m/s²) h = 140 J
h = (140 J) / ((3.8 kg) (9.80 m/s²))
h ≈ 3.8 m
(f) You know the kinetic energy at B, so just solve for v :
140 J = 1/2 (3.8 kg) v²
v² = (280 J) / (3.8 kg)
v² ≈ 73.684 m²/s²
v ≈ 8.6 m/s
A person rides a bike with a constant velocity of 2 m/s. If his total displacement is 10 meters, for how long was he riding?
Answer:
5s
Explanation:
i just know
A person rides a bike with a constant velocity of 2 m/s. If his total displacement is 10 meters, he was riding for 5 sec.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.
Given in question a person rides a bike with a constant velocity of 2 m/s. If his total displacement is 10 meters,
Velocity = Displacement / time
2 = 10/time
time = 5 sec
A person rides a bike with a constant velocity of 2 m/s. If his total displacement is 10 meters, he was riding for 5 sec.
To learn more about velocity refer the link:
brainly.com/question/18084516
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What is the relationship between chromosomes and a body's appearance? (A) Chromosomes make it possible for all bodies to exactly reproduce themselves. (B) Chromosomes contain genes that tell the body how to grow and work. (C) Genes make it possible for chromosomes to grow into many different parts of the body. (D) Genes contain chromosomes that tell the body how to grow and work.
Answer: The correct option is B.
Chromosomes contain genes that tell the body how to grow and work.
Explanation:
This is because chromosomes contain alot of human genes which are found in the nucleus and every humans have 23 pairs of chromosomes. The sets of genes determines some of the body features, characteristics or traits. The genes in the body form the genotype and the genotype is expressed physically which is now the phenotype i.e traits expressed physically in the body which is an indication of body appearance.
Compare and contrast what happens to an object's motion when balanced or
unbalanced forces act on that object.
Answer: The motions shifts.
A body weighs less inside water
Answer:
Body weighs lesser in water because of the upward force (buoyant force) which acts on our body thereby reducing our actual weight. This is our apparent weight.
Explanation:
hope it helps
which type of mater conduct heat?
Answer:
Copper is the best conductor
An object has a net force. The net force points in the south west direciton. Knowing this, what can you can you conclude about the accleration, and velocity of the object
Answer:
1) The acceleration is in the SW direction.
2) It is not possible to make a conclusion regarding the direction of the velocity.
Explanation:
1)
According Newton's 2nd Law, the acceleration is directly proportional to the net force applied, and has the same direction than it.Since the net force points in the SW direction, so does the acceleration.2)
By definition, acceleration is the rate of change of the velocity with respect to time.Since acceleration is a vector, it can represent a change in the magnitude of the velocity (if it speeds up or if it is slows down), along the same direction (NW or SW in this case), and/or a change in the direction, as in the circular movement case, in which acceleration and speed are perpendicular each other. So, with the information that we have, we can't say in which direction the velocity points.A horse accelerates from rest for 1 s and covers a distance D. If instead the accelerates from rest with the same accelerations for 2 s will the distance it covers be equal to 2D, 4D, or 9D
Answer:
4D
Explanation:
We will use 2nd equation of motion in this question:
s = Vi t + (0.5)gt²
where,
s = distance covered
t = time taken
g = acceleration due to gravity
For t = 1 s:
s = D
Therefore,
D = (0 m/s)(1 s) + (0.5)g(1 s)²
D = 0.5g -------------- equation (1)
For t = 2 s:
s = D
Therefore,
s = (0 m/s)(1 s) + (0.5)g(2 s)²
s = 0.5g(4)
using equation (1):
s = 4D
therefore, correct answer is:
4D
pls help me tbis is being timed
Answer:
it would have to be 1000 netons
Here is what you can say if the crewmates saw you get someone.
Well let me tell you guys. Everything is made of atoms. THe thing is atoms don't touch. And humans are made of atoms. So technically we never touch.SO to answer your question no I did not slice white in half in electrical.
Answer:
ahh yes you are so smart and I hope you get a good job when you are older
A box with a mass of 18 kg is pushed across the floor. It has coefficient of friction of 0.39. Calculate the force of friction it experiences.
Answer:
68.8 N
Explanation:
From the question given above, the following data were obtained:
Mass (m) of box = 18 Kg
Coefficient of friction (μ) = 0.39
Force of friction (F) =?
Next, we shall determine the normal force of the box. This is illustrated below:
Mass (m) of object = 18 Kg
Acceleration due to gravity (g) = 9.8 m/s²
Normal force (N) =?
N = mg
N = 18 × 9.8
N = 176.4 N
Finally, we shall determine the force of friction experienced by the object. This is illustrated below:
Coefficient of friction (μ) = 0.39
Normal force (N) = 176.4 N
Force of friction (F) =?
F = μN
F = 0.39 × 176.4
F = 68.796 ≈ 68.8 N
Thus, the box experience a frictional force of 68.8 N.
A car runs along a horizontal path at speed of 20m/s.The driver observes the rain hitting his car at 60 to vertical.If rain is actually falling vertically then what is speed of rain drop
Answer:
The speed of the raindrop is 11.55 m/s.
Explanation:
We need to find the speed of the rain in the "y" direction. We have:
[tex]v_{r}[/tex]: speed of the raindrop at 60° (vertical) =?
[tex]v_{c}[/tex]: speed of the car = 20 m/s (in the "x" direction)
Hence, the speed of the car and the speed of the raindrop are related by:
[tex]tan(\theta) = \frac{v_{c}}{v_{r}}[/tex]
[tex] v_{r} = \frac{v_{c}}{tan(60)} = \frac{20}{tan(60)} = 11.55 m/s [/tex]
Therefore, the speed of the raindrop is 11.55 m/s.
I hope it helps you!
According to the question,
Speed of car, [tex]v_c = 20 \ m/s[/tex]Let,
The speed of rain be "y".As we know the formula,
→ [tex]tan (\Theta) = \frac{v_c}{v_r}[/tex]
or,
→ [tex]v_r = \frac{v_c}{tan (60)}[/tex]
By putting the values, we get
[tex]= \frac{20}{tan (60)}[/tex]
[tex]= 11.55 \ m/s[/tex]
Thus the above answer is right.
Learn more about speed here:
https://brainly.com/question/18076916
After our sun leaves the main sequence it will most likely...
A.) become a supergiant and explode in a supernova explosion
B.) become a giant and eventually form a black hole
C.) become a supergiant and eventually form a dwarf star
D.) become a giant and eventually form a dwarf star
Answer:
c
Explanation:
which change to a circuit is most likely to increase it electrical power
A: increase it's current and increase it's voltage
B: decrease it's current and increase it's voltage
C: decrease it's current and decrease it's voltage
D: increase it's current and decrease it's voltage
Answer:
A................
Explanation:
Hope this helps you
A. increase it's current and increase it's voltage
Explanation:
Function of nucleus
Answer:
The nucleus has very important roles to play. As it contains genetic material, it coordinates cell activities like protein synthesis and cell division.
Explanation:
What is happening inside muscles when they become sore?
Answer:
When muscles are required to work harder than they're used to or in a different way, it's believed to cause microscopic damage to the muscle fibres, resulting in muscle soreness or stiffness. DOMS is often mistakenly believed to be caused by a build up of lactic acid, but lactic acid isn't involved in this process.
Explanation:
has an atomic number of 1
Answer:
The element H (Hydrogen) has an atomic number of 1.
Answer:
1 = H = Hydrogen
the inertial mass of an object is measured by exerting a force on the object and measuring the object's BLANK using an inertial balance
Answer:
acceleration
sorry i answered late
What is Isaac Newtons third law of motion? Explain?
Answer: His third law states that for every action, or force, in nature there is an equal and opposite reaction.
Explanation: Basically, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Hope it helps!
Answer:
His third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A.
You notice that when you turn off your bedroom lights, the kitchen lights can stay on. Based on this observation, what kind of circuit was used to wire the lights in your house? A. Parallel circuits because there are two or more paths for the current to flow. B. Series circuits because the current through each component is the same. C. Series circuits because there are two or more paths for the current to flow. D. Parallel circuits because the current through each component is the same.
Answer:
the correct answer is A
Explanation:
In a series circuit the current flows through the circuit and when it is opened at some point the current stops throughout the circuit.
In a parallel circuit, the current flows through the different branches of the circuit and when the current in one branch is interrupted, it continues to flow through the others.
In this exercises they indicate that the bedroom lights are turned off (the circuit was opened), but the kitchen lights are still on, therefore it is a parallel circuit with at least two branches, the current that circulates through each one depends on the existence on each branch.
Therefore the correct answer is A
A B-52 bomber jet flies at a horizontal velocity of 286.2 m/s and at an altitude of 7500 m above the ground.
How far away horizontally should a payload be dropped to land on a target?
Answer:
you need to divide 7500/286.2
