Initial velocity of projection (u) = 20 m/s
Angle of projection (θ) = 30°
Formula of Horizontal Range of Projectile:
[tex] \boxed{ \bf{R = \dfrac{2u^2 sin\theta .cos \theta}{g}}}[/tex]
By substituting values in the formula, we get:
[tex] \rm \longrightarrow R = \dfrac{2 \times 20^2 \times sin30 \degree \times cos 30 \degree}{10} \\ \\ \rm \longrightarrow R = \dfrac{ \cancel{2} \times 40 \cancel{0} \times \dfrac{ \sqrt{3} }{ 2} \times \dfrac{1}{\cancel{2}} }{ \cancel{10}} \\ \\ \rm \longrightarrow R =40 \times \dfrac{ \sqrt{3} }{ 2} \\ \\ \rm \longrightarrow R =20 \sqrt{3} \: m \\ \\ \rm \longrightarrow R =34.641 \: m[/tex]
[tex] \therefore [/tex] Horizontal Range of Projectile (R) = 34.641 m
A satellite was in two separate crashes. In both crashes, the satellite had the same mass. Engineers want to know about the speed and direction of the satellite after the crashes. Why would the crash affect the motion of the satellite, and which crash caused a greater change in motion for the satellite?
Answer & Explanation:
Crashing into the asteroid would cause the satellite to slow down, stop, or reverse direction, because it is a force in the opposite direction to the satellite's motion. Whichever crash was a stronger force would cause it to change motion more. It takes a stronger force to change the velocity of a more massive object.
find acceleration of block and tension in strings if m1 =8kg m2= 4kg and take g=10m/s²
[tex]\sf{m_1}[/tex] = 8kg
[tex]\sf{m_2}[/tex] = 4kg
g = 10m/s²
[tex]\large\bold{\underline{\underline{To \: Find:-}}}[/tex]→Acceleration of block
→Tension in strings
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]Let, the two equation will be ,
[tex]\leadsto[/tex] 8g - T = 8a ..... Equation no (1)
[tex]\leadsto[/tex] T - 4g = 4a ..... Equation no (2)
Putting the value of equation no (1) and (2) we get,
[tex]\implies[/tex] 4g = 12a
[tex]\implies[/tex] 4 × 10 = 12a
[tex]\implies[/tex] 40 = 12a
[tex]\implies[/tex] a = [tex]\sf\dfrac{\cancel{40}}{\cancel{12}}[/tex]
[tex]\dashrightarrow[/tex] a = [tex]\dfrac{10}{3}[/tex]
Again, we have to putting the value of a in the equation no (2) we get,
[tex]\implies[/tex] T - 4g = 4 × [tex]\dfrac{10}{3}[/tex]
[tex]\implies[/tex] T - 4 × 10 = 4 × [tex]\dfrac{10}{3}[/tex]
[tex]\implies[/tex] T - 40 = [tex]\dfrac{40}{3}[/tex]
[tex]\implies[/tex] T = [tex]\dfrac{40}{3}[/tex] + 40
[tex]\implies[/tex] T = [tex]\dfrac{40 + 120}{3}[/tex]
[tex]\dashrightarrow[/tex] T = [tex]\dfrac{160}{3}[/tex] N
[tex]\therefore[/tex] Acceleration of block = [tex]\dfrac{10}{3}[/tex] m/s².
And, Tension in strings = [tex]\dfrac{160}{3}[/tex] N
how much charge flows through a wire in 10 minutes if the current through it is 2.5 ampere
Answer:
Q=it
I=2.5A
T=600 seconds
Q=2.5*600
= 1,500 C
Answer:
Explanation:
Explanation is attached.
If Newton's third law was true, then why does a table move when I push it? If the table exerted the same amount of force to me, why does it move?
A man is pulling on a rope with a force of 72 N
directed at an angle of 36◦
to the horizontal.
What is the x-component of this force?
Answer in units of N.
Answer:
57,6N
Explanation:
To find the component of a force on the x-axis we can simply do:
F * cos(36) = 72N * 0.8 = 57,6N
Is a dinosaur a biotic factor? Why?
Answer: yes it is
Explanation: A biotic factor is something that is living. this also apply to plants animals and people. A dinosaur was once a living being so it would be classified as a biotic factors. An abiotic factor is something that is not living .so that would be tables chairs and clothes.
Which question can be used to identify a physical property of an element?
a) Does a magnet attract the element?
b) Does rust form when the element is exposed to oxygen?
c) Do bubbles form when the element is mixed with an acid?
d) Does the element burn when held over a Bunsen burner flame?
Answer:
C. Do bubbles form when the element is mixed with an acid?
Explanation:
all the other options are incorrect because they are
"Does a magnet attract the element?" is the question that can be used to identify a physical property of an element, because the magnetic behavior of any material is purely a physical property of that material.
Therefore, the correct answer is option A.
What is a magnetic field?A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.
Since the magnetic behavior of any substance is solely a physical feature of that material, the question "Does a magnet attract the element?" can be used to determine a physical attribute of an element.
Thus, the correct answer is option A.
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A 2.20 kg mass is at the origin. A
4.66 kg mass is 3.00 m to its right,
and another 4.66 kg mass is 3.00 m
to its left.
What is the net gravitational force
on the 2.20 kg mass?
Answer:
0
Explanation:
F1 = G•2.2•4.66/3² (pointed right)
F2 = G•2.2•4.66/3² (pointed left)
subtract the two to get zero
The gravitational force on the 2.20 Kg mass is 7.53 × 10⁻¹¹ N to the right and and the same to the left. The same forces are in opposite direction and thus balances each other.
What is gravitational force?The gravitational force is the force by which an object attracts other object into its center of mass. The gravitational force depends on the masses of the objects and distance between them by the equation written below:
g = G m1 m2/r²
where G is the universal gravitational constant equal to 6.67 × 10⁻¹¹ N
Given the mass at the origin = 2.20 kg
mass in right side = 4.66 Kg.
distance = 3 m.
then g = 6.67 × 10⁻¹¹ N × (2.20 × 4.66 kg)/3² = 7.53 × 10⁻¹¹ N
However, the equal force acts from the equal distance by the same mass from the left side also. Therefore, both forces cancel each other in magnitude and the net gravitational force will be zero.
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An unknown substance from planet X has a density of 10 g/mL. It occupies a volume of 80 mL. What is the mass of this unknown substance?
Answer:
800 mL
Explanation:
D*V=M
You pick out the numbers as well as what it is they represent from the word problem/explanation, then from there plug them in to the equations. Once you do that, you get your product and have the answer.
10*80= 800
Two cars have the same mass. One car travels at 30 mph and the other car travels at 40 mph. Which of these is true?
Select one:
The faster car has more kinetic energy because kinetic energy increases with speed.
The slower car has more kinetic energy because kinetic energy decreases with speed.
The faster car has more kinetic energy because kinetic energy decreases with speed.
The slower car has more kinetic energy because kinetic energy increases with speed.
Answer:
The faster car has more kinetic energy because kinetic energy increases with speed.
Explanation:
-
Reese can run 10 meters in 5 seconds
Answer: 2 m/s
Explanation:
Divide 10 meters by 5 seconds
someone please help
[tex]w = F * S[/tex]
[tex]F = 20\\S = 10\\F * S = 20 * 10 = 200[/tex] Joules <- 1st answer
[tex]w = F * S[/tex]
[tex]1234 = F * 100[/tex]
[tex]F = \frac{1234}{100}[/tex]
[tex]F = 12.34 N[/tex] <- 2nd answer
Choose ALL that apply: Read the story below and choose every sphere shown directly in the story. A volcano erupts on a mountain side. It creates a huge cloud of smoke and ash which block out the sun, making it harder for plants to grow.
Question 3 options:
Biosphere
Geosphere
Hydrosphere
Atmosphere
Answer:
biosphere
Explanation:
pretty sure bc it is ground
What is the role of the neutral wire
Answer:
The neutral wire is often confused with ground wire, but in reality, they serve two distinct purposes. Neutral wires carry currents back to power source to better control and regulate voltage. Its overall purpose is to serve as a path to return energy.
passenger plane is flying above the ground. Describe the two components of its mechanical energy.
what is the most embaresing thing thats happened to u
dont mind spelling
Answer:
I once yelled out in zoom "I WANNA KISS A ANIME BOY" Cause of a silly dare
Explanation:
Everyone laughed and I was kicked
Answer:
my brother was pushing the cart at target and the front like got my ankles and I fell in front of everyone and he was just laughing.
How much time does it take an object to fall 4.9 meter?
A) less than 1 second
B) 1 second
C) more than 1 second
Answer:
C more than 1 second
Explanation:
it will take time since its 4.9 meters and how hard you throw it down
A person who takes 30 mins to bike five miles west to the store and returns home in 30mins via the same routes.
What is the average of speed and velocity?
Answer: To determine the speed of an object, you need to know the distance traveled and the Time = 4.0 seconds The speed of the cheetah in miles per hour is 63 mph 5. How far can a person run in 15 minutes if he or she runs at an average .
Explanation: I hope that was helpful !
Find the velocity and distance travelled of a car that is accelerating at 3 m/s2 for 4 seconds.
Explanation:
Given:
v₀ = 0 m/s
a = 3 m/s²
t = 4 s
Find: Δx and v
Δx = v₀ t + ½ at²
Δx = (0 m/s) (4 s) + ½ (3 m/s²) (4 s)²
Δx = 24 m
v = at + v₀
v = (3 m/s²) (4 s) + 0 m/s
v = 12 m/s
1. A television set falls from rest from a bridge 100m above the river surface.
Answer:
It would break because how fast and how tall the fall is because at a certain hight water can act like a solid and break your body/bones or you could die
its a do or die situation
Explanation:
One peice of evidence that the universe is expanding
A 30 kg object has a frictional force of 60 N. It's coefficient of friction must be...?
A) 0.2
B) 2
C) .002
D) 20
mass = 30kg
frictional force = coefficient of friction * (mass * g)
g = 9.8 m/s^2
So:
60N = x * 294 N
x = 60 N / 294 N = 0,2
Cyclist A and B cycled atan average speed of 15 km/h and 20 km/h respectively from the same starting point X on the same route. Cyclist B started his journey 6 mins after cyclist A had started. i) What were the distances travelled by cyclist A and B 1 h cyclist A had started his journey from point X? ii) Dis cyclist B overtake cyclist A within the first hour of cyclist A's journey?
Answer:
i. Cyclist A travelled 15 km 1 h cyclist A had started his journey from point X
Cyclist B travelled 18 km 1 h cyclist A had started his journey from point X
ii. cyclist B overtake cyclist A 6 km from the same starting point X.
Explanation:
From the question,
- Cyclist A and B cycled at an average speed of 15 km/h and 20 km/h respectively.
- Cyclist B started his journey 6 mins after cyclist A had started.
Let the cyclist A time be t.
Then, we can write that
For Cyclist A
Speed = 15 km/h
Time = t mins
For Cyclist B
Speed = 20 km/h
Time = (t - 6) mins
i) To determine the distances travelled by cyclist A and B 1h cyclist A had started his journey,
For Cyclist A
Speed = 15km/h
Time = 1h = 60 mins
From the formula
Speed = Distance / Time
Then,
Distance = Speed × Time
Putting the values into the equation,
Distance = 15km/h × 1h
Distance = 15 km
∴ Cyclist A travelled 15 km 1 h cyclist A had started his journey from point X
For cyclist B
Speed = 20km/h
Time = 1h - 6mins = 60mins - 6mins = 54mins = 54/60 hour = 0.9 h
Also, from
Distance = Speed × Time
Putting the values into the equation
Distance = 20km/h × 0.9h
Distance = 18 km
∴ Cyclist B travelled 18 km 1 h cyclist A had started his journey from point X
ii) To determine the distance cyclist B overtake cyclist A, that is, when the distance covered by cyclist A equals that covered by cyclist B.
First, we will determine the time at which the distances covered by both cyclists were equal.
From
For Cyclist A
Speed = 15 km/h
Time = t hour
Distance = Speed × Time
Distance = 15t km
For Cyclist B
Speed = 20 km/h
Time = (60t - 6) mins = (t - 0.1) hour
Distance = 20 × (t - 0.1) = (20t - 2) km
Equate the distances
15t = 20t - 2
15t - 20t = -2
-5t = -2
5t = 2
t = 2/5
t = 0.4 hour
Hence, cyclist B overtake cyclist A 0.4 hour after cyclist A had started.
For the distance cyclist B overtake cyclist A,
From
Distance = (20t - 2) km
Distance = (20×0.4 - 2) km
Distance = (8 - 2) km
Distance = 6 km
Hence, cyclist B overtake cyclist A 6km from the same starting point X.
Which of the following correctly puts the objects in order by increasing inertia?
A. bird, butterfly, airplane
B. butterfly, bird, airplane
C. airplane, bird, butterfly
D. buttferfly, bird, airplane
Location A on the surface of Earth bas a much higher temperature than Location Which statement is most likely true A.Both locations are at the poles B.Both are at the equator C.Location A is at the equator and Location B is the poles D.Location at the poles and location B is the equator
Answer:
The anwser is b
Explanation:
Answer:
the answer is B
I know because i just did it
Name three ways you could increase the strength of an
electromagnet:
Answer:
adding more turns to the coilwrapping the coil around an iron, more specially a nail ironincreasing the current flow into the coilExplanation:
The different odds of survival between a preterm and a full-term newborn involve: cephalic development.
the maturation of the skeletal system.
the maturation of the neurological, respiratory, and cardiovascular systems.
proximo-distal development.
Answer: B
Explanation:
A car is traveling in a straight line along a highway at a constant speed of 80 miles per hour for 10 seconds. Find the acceleration.
The acceleration it's the difference of speed (final speed - initial speed) divided by the time. So:
a = Δv/t
In this case the initial speed is equal to 0. The final speed is equal to 80 miles/hour. The time is 10s.
a = 80 miles/hour divided by 10 = 8 miles/hour
Answer:
8
Explanation:
Because as you can see 80/10= 8
Answer is 8
PLZ HELP ME
1. A stone is thrown horizontally from a cliff 30m high with an initial speed of 20m/s. How far from the cliff does the stone strike the ground?
2. A ball rolls off the edge of a table 1.44m above the floor and strikes the floor at a point 2m horizontally from the edge of the table.
A) What is the time the ball was in the air?
B) What is the initial velocity of the ball?
3. A golfer hits a ball and gives it an initial velocity of 40 m/s, at an angle of 30º above the horizontal.
A) How long does the ball stay in the air?
B) How far horizontally (the range) does the ball travel before hitting the ground?
Answer:
1. The stone will strike the ground 49.46 m from the base of the cliff
2. A) Approximately 0.542 seconds
B) Approximately 3.69 m/s
3. A) The time the ball spends in the air is approximately 4.0775 s
B) The horizontal range is approximately 141.25 m.
Explanation:
1. The time it takes the stone to land is given by the equation, t = √(h/(1/2 × g)
∴ t = √(30/(1/2 × 9.81)) ≈ 2.473 seconds
The horizontal distance covered by the stone in that time = 20 × 2.473 ≈ 49.46 m
The stone will strike the ground 49.46 m from the base of the cliff
2. A) The time the ball spends in the air = t = √(h/(1/2 × g)
∴ t = √(1.44/(1/2 × 9.81)) ≈ 0.542 seconds
B) The initial horizontal velocity, u = Horizontal distance/(Time) = 2/0.542 ≈ 3.69 m/s
The initial horizontal velocity ≈ 3.69 m/s
3. A) The time the ball spends in the air is given by the following equation;
t = 2 × u × sin(θ)/g = 2 × 40 × sin(30)/9.81 ≈ 4.0775 s
t ≈ 4.0775 s
B) The horizontal range, R, of the ball is given by the equation for the range of a projectile as follows;
[tex]Range, R = \dfrac{u^2 \times sin (2 \cdot \theta) }{g}[/tex]
Substituting the known values, gives;
[tex]Range, R = \dfrac{40^2 \times sin (2 \times 30^{\circ}) }{9.81} \approx 141.25 \ m[/tex]
The horizontal range ≈ 141.25 m.
to calculatw the power produced by a force, the size of the force must be known. What else needs to be known to calculate the power
-- The distance the force moved through
-- How long the force lasted
The other thing we need to calculate the power is the "Velocity".
A quantity of labor or work done to be accomplished within a particular period of timeframe is determined as power. It is denoted by "P".According to the given query, we are talking about the relation between Power and Force. Along with simple instances where such an item is moved at continuous speed by a constant force.
The relation can be shown as:
→ [tex]P= Fv[/tex]
where,
P = PowerF = Forcev = VelocityThus the above is the right response.
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