A driver needs to make a delivery to an office that is 30 KM away. The driver has traveled for 45 minutes W. down the straight Road at 50 KM/H. Has the driver traveled far enough to reach the office? Support your response. 
Answer:
Yes, the driver traveled far enough to reach the office.
Explanation:
We can use the formula
\(v=\frac{x}{t}\)
We are given
\(x=30\) KM
\(t=45\) min
\(v=50\) KM/H
Lets convert minutes to hours.
To convert minutes to hours divide the speed by 60.
\(\frac{45}{60} =\frac{3}{4} =0.75\)
Now we have
\(x=30\) KM
\(t=0.75\) H
\(v=50\) KM/H
\(v=\frac{x}{t}\)
Solve for x.
\(x=vt\)
Lets substitute our values into the equation.
\(x=50*0.75\)
\(x=37.5\)
\(37.5 > 30\) So the answer is yes; the driver traveled far enough to reach the office.
The driver has to travel 35 km to reach the office. The distance he covered with a speed of 50 km/h within 45 minutes or 0.75 hour is 37.5 km. Hence, he travelled enough to reach the office.
What is velocity?Velocity of a moving body is the measure of distance it covered within unit time. The velocity is a vector quantity and have a magnitude and direction. The units of velocity are km/h, m/s etc.
Velocity is the ratio of change in distance to the change in time. Hence, distance can be calculated by multiplying the velocity with time.
Given that, velocity of the driver = 50 Km/h
time taken = 45 minutes = 45/60 =0.75 hr
Therefore, the distance = 0.75 hr × 50 km/h = 37.5 km
The distance to the office is 30 km. Therefore, the driver traveled far enough to reach the office.
To find more on velocity, refer:
https://brainly.com/question/18084516
#SPJ1
A 9,900 kg object feels a gravitational force of 12 N due to a 52,000 kg object. What is the distance between the
two objects?
Answer:
0.05 m
Explanation:
From the question given above, the following data were obtained:
Mass of first object (M1) = 9900 kg
Gravitational force (F) = 12 N
Mass of second object (M2) = 52000 kg
Distance apart (r) =?
Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
Thus, we can obtain the distance between the two objects as shown below:
F = GM1M2/r²
12 = 6.67×10¯¹¹ × 9900 × 52000 /r²
Cross multiply
12 × r² = 6.67×10¯¹¹ × 9900 × 52000
Divide both side by 12
r² = (6.67×10¯¹¹ × 9900 × 52000)/12
Take the square root of both side
r = √[(6.67×10¯¹¹ × 9900 × 52000)/12]
r = 0.05 m
Therefore, the distance between the two objects is 0.05 m
3. A cylindrical steel drum is tipped over and rolled along the floor of a ware house. If the drum has radius of 0.40m and makes on complete turns in every 8.0 s, how long does it take to roll the drum 36m?
It takes approximately 9.05 seconds to roll the drum a distance of 36 meters.
What is circumference of a circle?We can use the formula for the circumference of a circle:
Circumference = 2 * π * radius
Given:
Radius (r) = 0.40 m
Circumference (C) = 2 * π * 0.40 m
We must figure out how many full rotations the drum makes to go 36 meters in order to calculate how long it takes to roll the drum. Since we are aware of the circumference, we can determine the number of full turns as follows:
Number of turns = Distance / Circumference
Given:
Distance = 36 m
Number of turns = 36 m / (2 * π * 0.40 m)
Now that we know how many turns there are, we can calculate the time by multiplying that number by the length of a turn, which is given as 8.0 seconds:
Time = Number of turns * Time per turn
Time = (36 m / (2 * π * 0.40 m)) * 8.0 s
By substituting the values into the equation, we can calculate the time:
Time = (36 / (2 * 3.14159 * 0.40)) * 8.0 s
Time ≈ 9.05 s
So, it takes approximately 9.05 seconds to roll the drum a distance of 36 meters.
Learn more about circumference here : brainly.com/question/20489969
#SPJ1
the object that emit light when they are hot called.......
A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400 joules of work is done, how much force must have been applied?
100 N
4000 N
1600 N
800 N
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?
600 J
100 J
72 J
50 J
The work done by using a lever with an effort arm of 12 meters and a load arm of 6 meters is 72 Joules. The force must have applied is 1600 N.
what is the calculation of work done ?The work done (in Joules) = force x distance.In this case, the force is the weight of the box (F = m * g, where m is the mass of the box and g is the acceleration due to gravity) and the distance is the height of 6 meters.Since work done is 600 J,600 J = m * g * 6When a lever is used, the work done is given by the formula:work done = effort distance x effort force = load distance x load forceEffort arm = 12 m, load arm = 6 m, and effort force = load forceSo, effort distance = load distance / (effort arm/load arm) = 6/2 = 3mTherefore, the work done by using lever = 3m x effort force = 3m x load force = 3m x mg = 3mg3 = 72 JAnd now The work done (in Joules) = force x distance.In this case, the force is the weight of the object (F = m * g, where m is the mass of the object) and the distance is the height of 4 meters.Since work done is 400 J,400 J = force * 4And by using the lever, the work done is given by the formula:work done = effort distance x effort force = load distance x load forceEffort arm = 10 m, load arm = 2 m, and effort force = load forceSo, effort distance = load distance / (effort arm/load arm) = 4/5 = 0.8mTherefore, the effort force = work done / effort distance = 400J / 0.8m = 1600 NTo learn more about work done refer:
brainly.com/question/25573309
#SPJ1
If you know the answer tell me ASAP
In order to measure the potential difference across one of the bulbs in the circuit, the voltmeter must be connected in parallel with it. So, option D.
When two points in a circuit have different electric potentials, a voltmeter is a tool or instrument that measures their potential difference.
We are aware that a voltmeter is a tool that measures the same potential drop in all configurations that are in parallel.
The potential difference between two points in a circuit is thus always measured by connecting a voltmeter in parallel across the conductor's ends.
To learn more about voltmeter, click:
https://brainly.com/question/31441611
#SPJ1
6. When can you say that an object is accelerating?
A. when the speed remains the same
B. When the speed is changing
C. when the instantaneous velocity is the same
D. When there is a uniform motion
give explanation
Answer:
When the speed is changing is the correct answer
Explanation:
Because acceleration is rate of change of velocity
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
You need to load a crate of mass m onto the bed of a truckon earth. One possibility is just to lift the crate straight up over a height h, equal to height of the truck's bed. Theforce exert in this case is F1 and the work done in this case is W1. The other possibility is to slide the crate up the frictionless ramp of length L.. In this case you exert force F2 and perform work W2. Which statement is true?
a. F1 > F2 and W1 > W2
b. F1 = F2 and W1 > W2
c. F1 = F2 and W1 = W2
d. F1 > F2 and W1< W2
e. F1 > F2 and W1 = W2
Answer:
The correct answer is - option E. e. F1 > F2 and W1 = W2
Explanation:
Case 1 - F1 = mg, m= mass and g = gravitational force
Work done W1 = F1h= mgh (h - height of bed of truck)
Case 2 - F2 = mgsinθ
work done W2 = mgsinθ×L (L=length of ramp ans sin θ angle of ramp)
sinθ = h/l, then W2 = mg(h/L)L
W2 = mgh
By comparing both,
F2 = mgsinθ and F1 = mg therefore,
F2>F1
now, W2 = mgh, and W1 = mgh
therefore, W2 = W1.
If you borrow $12250 and pay $147 in annual interest, the APR on your loan is 1.2% 14.7% 1.23% 7.35%
Answer: 1.2%
Explanation:
Given
If one borrows $12,250
and give $147 interest on it
Then the interest is given from the formula
\(\Rightarrow S.I=\dfrac{P\times R\times T}{100}\\\\\Rightarrow 147=\dfrac{12,250\times R\times 1}{100}\\\\\Rightarrow R=\dfrac{147}{122.50}\\\\\Rightarrow R=1.2\%\)
Thus, the annual rate of interest is 1.2%
If the boat in the preceding example travels with the same speed of 20 km h¹¹ relative to the water and is to travel due north, in what direction should it travel?
Calculate the speed of sound in a string that has a tension of 100 N and a linear mass density of 0.0001 kg/m
what conditions made it possible for earth's interior to separate into layer?
Answer:
Separation of the Earth into layers (crust, mantle, inner core, and outer core) was largely caused by gravitational differentiation (separating different constituents at temperature where materials are liquid or plastic, owing to differences in density) early in Earth's history.
Explanation:
hoped it helped!!
2. A car of mass 1000kg is being tied along the horizontal road by a rope making an angle of 30° with the horizontal. If the tension in the north rope is 200N and what is the acceleration
The acceleration of the car is determined as 0.35 m/s².
What is the acceleration of the car?The acceleration of the car is calculated by applying the formula for Newton's second law of motion as follows;
F(net) = ma
where;
F(net) is the net forcem is the mass of the cara is the acceleration of the carFy = F sinθ
200 = F x sin(30)
F = 200 / sin(30)
F = 400 N
The tension in horizontal direction;
Fₓ = 400 N x cos(30)
Fₓ = 346.4 N
The acceleration of the car is calculated as;
a = Fₓ / m
a = 346.4 / 1000
a = 0.35 m/s²
Learn more about acceleration here: https://brainly.com/question/14344386
#SPJ1
Impulse is equal to ... (pick TWO answers)
A. the change in momentum of an object.
B. the change in mass of an object.
C.the change in volume of an object.
D. a force applied to an object for a period of time.
E. the original momentum of the object.
Answer:
A
Explanation:
Momentum change is basically impulse
Object possessing more velocity after bouncing OR the object which bounces more have more impulse
One of the fastest roller coasters (2000 kg) in the world is the Magnum XL - 200 at
Cedar Point Park in Sandusky, Ohio. This ride includes an initial vertical drop of 59.3 m.
Assume that the roller coaster has a speed of nearly zero as it crests the top of the hill.
a. If the track was frictionless, find the speed of the roller coaster at the bottom of
the hill.
The speed of the roller coaster at the bottom of the hill is 33.9 m/s.
The conservation of mechanical energy is used to determine the speed of the roller coaster at the bottom of the hill, as there is no friction. According to the law of conservation of energy, mechanical energy is constant at all points in a frictionless environment.Let's look at the equation below:PEg + KE = PEg + KEwhere PEg is gravitational potential energy and KE is kinetic energyThe kinetic energy is maximum and the gravitational potential energy is zero when the roller coaster is at the bottom of the hill. The gravitational potential energy is highest when the roller coaster is at the top of the hill, with its potential energy equal to its kinetic energy when it reaches the bottom of the hill.Initially, the roller coaster is at rest at the top of the hill. The gravitational potential energy of the roller coaster is transformed into kinetic energy as it descends the hill. We can calculate the speed of the roller coaster using the law of conservation of energy.Solution:Given,Height of the hill, h = 59.3 mGravitational acceleration, g = 9.8 m/s²Mass of roller coaster, m = 2000 kgWe need to find the speed of the roller coaster at the bottom of the hill, v.To begin, calculate the potential energy at the top of the hill.Potential energy at the top of the hill = mgh Where m is the mass of the roller coaster, g is the acceleration due to gravity, and h is the height of the hill.
The potential energy at the top of the hill is given by:PEg = mgh= 2000 kg × 9.8 m/s² × 59.3 m= 1.15 × 10⁶ JNow, let's figure out the velocity at the bottom of the hill.Using the conservation of energy, we can write,PEg = KE + KEwhere PEg is gravitational potential energy and KE is kinetic energyThe gravitational potential energy is equal to the kinetic energy.KE = PEg= 1.15 × 10⁶ JKE = 1/2 × mv²Where m is the mass of the roller coaster and v is the velocity of the roller coaster.Substituting the given values in the above equation, we get;1.15 × 10⁶ = 1/2 × 2000 × v²v² = (2 × 1.15 × 10⁶) / 2000v² = 1150v = √1150v = 33.9 m/s.
for such more questions on speed
https://brainly.com/question/13943409
#SPJ8
What is the momentum in kg m/s of a 42.9 g golf ball traveling at 78.2 m/s? If the impact of the golf club on the ball occurs over a time of 2 x 10^-3 seconds, b). what force does the ball experience to accelerate from rest to 78.2 m/s?
Explanation:
force=(42.9/1000) × (78.2-0/(2 × 10^-3))
=1528.81N
How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food
A. The amount of oxygen in the atmosphere increased
B. Mass extinctions occurred
C. The oceans became larger
D. Rainfall increased
You and your friends are at the lake on a particularly sunny day. Use specific heat capacity to explain why the sand on the shores of the lake feels so much hotter than the water in the lake even though the same solar energy is being absorbed by both materials.
Answer:
well the water is way bigger and cant hold much heat while the sand
is smaller than the ocean and is able to hold heat
Explanation:
i dont have one ;-;
Answer:
hi
Explanation:
1. The kinetic energy of a car is 8 106 J as it travels along a horizontal road. How much work is required to stop the car in 10 s? (A) zero joules (B) 8 105 J (C) 8 107 J (D)8 104 J (E) 8 106 J
The power to stop the car with kinetic energy of a car is \(8*10^{6} J\) as it travels along a horizontal road is \(8*10^{5} watt\), option B
What is Kinetic energy ?Kinetic energy can be seen as one that is been recorded when an object is able to move from a place , in a broad term we can say this is the energy that can be attributed to that of someone leaving a place and go to another place hence we can see it as the one in the motion.
The definition of energy as the "power to accomplish work" refers to the capacity to apply a force that moves an object. Even if the word is vague, it is clear what energy actually means: it is the force that causes objects to move. The two types can be attributed to the one we know which are kinetic and potential energy.
\(Power \frac{Energy}{time}\)
\(Energy = 8*10^{6} J\)
\(time = 10 s\)
\(Power = \frac{8*10^{6} J}{10}\)
\(power = 8*10^{5} watt\)
Learn more about kinetic energy at:
https://brainly.com/question/8101588
#SPJ1
proper question;
The kinetic energy of a car is 8 × 106 J as it travels along a horizontal road. How much power is required to stop the car in 10 s? (A) zero joules (B) 8 105 J (C) 8 107 J (D)8 104 J (E) 8 106 J
A box weighs 300N. A force of 20N slide it across a floor at a constant speed. What is the mass of the box? What is the acceleration of the box?
Answer:
Mass = 30kg
Acceleration = 0m/s/s
Explanation:
The weight of an object is its mass multiplied by the gravitational field strength. On Earth the value often used for gravity is 10N/kg. This means there is 10N of force per kg of mass, so the weight of an object will be 10x its mass. Here we are given a weight of 300N, so to find its mass we simply need to divide it by 10. 300/10 = 30kg. The mass of the box is 30kg.
Because the box is being slid across the floor at a constant speed, the velocity is not changing, therefore the acceleration is 0.
Hope this helped!
Answer:
Mass = 30 kg
Acceleration = 0 m / s²
Explanation:
Gravity = 10 N / kg
Thus the mass = 30 kg
We know that the box slide in a constant speed
Thus it doesn't have any acceleration.
Hopefully this answer helps you :)
A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.13 N downward, and the force of the wind on the apple is 1.31 N to the right. What is the magnitude of the net external force on the apple? Answer in units of N.
Answer: See the diagram,from the vevtor addition we can say,net force acting on the apple is =
√
2.25
2
+
1.05
2
+
2
⋅
2.25
⋅
1.05
cos
90
=
2.48
N
And,this resultant force makes an angle of
tan
−
1
(
1.05
2.25
)
or,
25
degrees w.r.t vertical
find the magnitude of the vecter c that satisfies the equation 2A-6B+3C=2j
Answer:
We can solve for the magnitude of vector C by first isolating it on one side of the equation:
2A - 6B + 3C = 2j
3C = 2j - 2A + 6B
C = (2/3)j - (2/3)A + 2B
Now that we have an expression for vector C, we can find its magnitude using the formula:
|C| = sqrt(Cx^2 + Cy^2 + Cz^2)
where Cx, Cy, and Cz are the x, y, and z components of vector C, respectively.
Since the equation only gives us information about the y-component of vector C, we can assume that the x and z components are zero. Therefore,
Cx = 0
Cy = 2/3
Cz = 0
|C| = sqrt((0)^2 + (2/3)^2 + (0)^2)
|C| = sqrt(4/9)
|C| = 2/3
Therefore, the magnitude of vector C is 2/3.
describe the relationship of the atoms shown above
choices:
Answer:
I don't know.
the mass of a density bottle is 18.00g when empty 44.00g when full of water, and 39.84g when full up of a second liquid. calculate the density of the liquid where density of water =1000kgm³
The density of the second liquid is 0.812 g/cm³
To calculate the density of the second liquid, we need to use the principle of displacement. The mass of the liquid can be found by subtracting the mass of the empty density bottle from the mass of the bottle filled with the liquid. Therefore, the mass of the liquid is:
mass of liquid = mass of bottle + liquid - mass of empty bottle
mass of liquid = 39.84g + x - 18.00g
where x is the mass of the liquid.
We can now use the density formula, which is:
density = mass/volume
The volume of the liquid is equal to the volume of the density bottle that is filled with the liquid, which can be calculated by subtracting the volume of the empty bottle from the volume of the bottle filled with the liquid. Therefore, the volume of the liquid is:
volume of liquid = volume of bottle filled with liquid - volume of empty bottle
We can now substitute this expression into the density formula to get:
density of liquid = mass of liquid / (volume of bottle filled with liquid - volume of empty bottle)
We know that the density of water is 1000 kg/m³, which is equal to 1 g/cm³. We can use this to find the volume of the liquid by dividing the mass of water by its density:
volume of water = mass of water / density of water
volume of water = 44.00g / 1 g/cm³
volume of water = 44.00 cm³
Now, we can calculate the volume of the density bottle filled with the second liquid by using the principle of displacement:
volume of bottle filled with liquid = volume of water - volume of liquid
volume of bottle filled with liquid = 44.00 cm³ - (39.84g - 18.00g) / 1 g/cm³
volume of bottle filled with liquid = 44.00 cm³ - 21.84 cm³
volume of bottle filled with liquid = 22.16 cm³
Finally, we can substitute these values into the density formula to get:
density of liquid = x / 22.16 cm³
Solving for x, we get:
x = density of liquid x 22.16 cm³
Substituting x back into the mass equation, we get:
mass of liquid = 39.84g + (density of liquid x 22.16 cm³) - 18.00g
Solving for the density of the liquid, we get:
density of liquid = (mass of liquid - 21.84g) / 22.16 cm³
Substituting the given values, we get:
density of liquid = (39.84g - 21.84g) / 22.16 cm³ = 0.812 g/cm³
In conclusion, the density of the second liquid is 0.812 g/cm³. This value is less than the density of water, which means that the second liquid is less dense than water and will float on top of water.
Know more about density here:
https://brainly.com/question/952755
#SPJ11
Mention 2 everyday applications each of conduction, convection and radiation
Answer:
Conduction: Touching a stove and being burned. Ice cooling down your hand. .
Explanation:
a car is moving 5.82 m/s when it accelerates at 2.35 m/s2 for 3.25, what is its final velocity
The final velocity of the car can be calculated using the formula: final velocity = initial velocity + acceleration * time. Plugging in the values you provided, we get: final velocity = 5.82 m/s + 2.35 m/s² * 3.25 s = 13.44 m/s.
What is an example illustrating gravitational potential energy transforming into kinetic energy?
Answer:
A. a hammer dropped off a roof accelerates as it falls.
Explanation:
The example that illustrates gravitational potential energy transforming into kinetic energy is a hammer dropped off a roof accelerating as it falls.
Gravitational potential energy is the energy due to the position of a body.
A hammer held up at roof level has a measure of gravitational potential energy.
As it drops and begins to accelerate, the energy is converted to kinetic energy. Kinetic energy is the energy due to the motion of a body.
The acceleration due to gravity causes the body to move.
So, the gravitational potential energy is converted to kinetic energy.
A researcher would like to perform an experiment in a zero magnetic field, which means that the field of the earth must be canceled. Suppose the experiment is done inside a solenoid of diameter 1.0 m, length 4.6 m , with a total of 5000 turns of wire. The solenoid is oriented to produce a field that opposes and exactly cancels the 52 μT local value of the earth's field.
What current is needed in the solenoid's wires?
Express your answer to two significant figures and include the appropriate units.
Answer:
I = 3.81 x 10⁴ A
Explanation:
The magnetic field of a solenoid must be equal to the field of earth:
\(Field\ of\ Earth = Field\ of\ Solenoid\\52\ T = \mu n I\\I = \frac{52}{\mu n}\)
where,
I = current passing through solenoid = ?
μ = permeability of free space = 4π x 10⁻⁷ N/A²
n = no. of turns per unit length = \(\frac{5000\ turns}{4.6\ m}\) = 1086.96 /m
Therefore,
\(I = \frac{52\ T}{(4\pi\ x\ 10^{-7}\ N/A^2)(1086.96\ /m)}\)
I = 3.81 x 10⁴ A
w
х
2. Identify the correct statement about the diagrams above.
O Y represents a mixture and Z represents an element.
O Y represents an compund and X represents a pure substance.
O X represents a mixture and W represents a pure substance
O W represents an element and Y represents a mixture.
Answer: W represents an element Y represents a mixture
Explanation: I just took a quiz on this and got it right. Good Luck
A student drops a pen from a classroom window on the third floor of the mathematics building. If the pen is dropped from33 ft above ground level, at what velocity does the pen hit the ground? Use - 32 ft/s2 for the acceleration caused by gravity.Ignore air resistance. Round any intermediate calculations to no less than six decimal places, and round your final answer totwo decimal places.
Answer:
45.96 m/s
Explanation:
To find the velocity when the pen hits the ground, we will use the following equation
\(v^2_f=v^2_i+2ay\)Where vf is the velocity when the pen hits the ground, vi is the initial velocity, a is the acceleration and y is the height of the building.
So, replacing vi = 0 m/s, a = -32 ft/s², and y = -33 ft, we get
\(\begin{gathered} v^2_f=0^2+2(-32)(-33) \\ v^2_f=2112 \\ vf=\sqrt[]{2112} \\ v_f=45.96\text{ m/s} \end{gathered}\)Then, the pen hit the ground at 45.96 m/s