Answer:
About two kilometers away
Explanation:
Given:
The time gap between the light and sound to travel to the house,
Since the clouds are formed in the troposphere region of the atmosphere which extends from 8 kilometers to 12 kilometers above the earth-surface and the velocity of light is 300000 kilometers per second so it is visible almost instantly, hence we neglect the time taken by the light to travel to the house from the clouds.
∴Distance between the lightning-strike and the house:
we have the speed of sound as:
So,
B. 2 cm/s2
C. 5 cm/s2
D. 6 cm/s2
The asteroid 234 Ida has a mass of about 4×1016 kg and an average radius of about 16 km. The acceleration due to gravity will be 1.04 cm/s². Hence, option A is correct.
The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s² is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on the earth's surface is 9.8 m/s².
The formula for the acceleration due to gravity is g=GM/r².
According to the question, the given values are :
Mass, M = 4 × 1016 kg or
M = 4 × 10¹⁶.
Radius, r = 16 km or,
r = 16000 meter.
G = 6.67 × 10⁻¹¹ Nm²/kg²
g = (6.67 × 10⁻¹¹ ) (4 × 10¹⁶) / 16000²
g = 0.0104 m/s² or,
g = 1.04 cm/s².
Hence, the acceleration due to gravity will be 1.04 m/s²
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Answer:
1 cm/s²
Explanation:
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Answer:TL;DR: 3.535 cm
Explanation:
Xcm = ΣxMoments/ΣMasses = (10*0 + 10*5)/(10+10) = 50/20 = 2.5 cm
by symmetry,
Ycm = 2.5 cm
The distance D from the point Xcm,Ycm to the origin is D = √(2.5²+2.5²) = 3.535 cm
The center of mass of the bent wire is approximately 11.18 cm from the bend.
In order to find the center of mass of the bent wire, we need to divide it into two segments: the horizontal segment and the vertical segment. The length of each segment is half of the total length of the wire, which is 20 cm, so each segment is 10 cm long.
The center of mass of the horizontal segment is located exactly at its middle point, which is 5 cm from the corner. The center of mass of the vertical segment is also located at its middle point, which is 10 cm from the corner. Since the horizontal and vertical segments are orthogonal, the distance from the bend to the center of mass of the bent wire is the hypotenuse of a right triangle with legs of length 5 cm and 10 cm. Using the Pythagorean theorem, we can calculate the distance:
d = sqrt(5^2 + 10^2) = sqrt(25 + 100) = sqrt(125) = 11.18 cm
Therefore, the center of mass of the bent wire is approximately 11.18 cm from the bend.
with the attached objects will balance there?
Answer:
See answer below
Explanation:
Hi there,
To get started, recall the Center of Mass formula for two masses:
where m is mass and x is displacement from the center of the shape.
Since masses at the center of a geometric shape have a displacement (x) value of 0, as the mass is already of the center, and does not affect Xcm. So, we can disregard the central mass, hence we use the above formula for two masses.
We can arbitrarily define left to be a negative (-) displacement, and vice versa for right direction. We proceed with the formula:
Since we defined left (-) and right (+), we notice the center of mass is (+) value. This makes sense, as there is slightly more mass on the right side. Hence, you should place a support 1/6 of the rod's length away from the rod's center.
Study well and persevere.
thanks,
To balance the rod with the attached objects, place a support at a distance of L/3 from the left end of the rod.
To balance the rod with the attached objects, you need to place a support at a distance of L/3 from the left end of the rod. This is because the center of gravity of the system should be directly above the support.
The center of gravity is given by the equation xcg = (m*0 + m*L/2 + 2m*L)/ (m + m + 2m). Solving this equation, we get xcg = 2L/3. Therefore, the support should be placed at a distance of L/3 from the left end of the rod.
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Answer:
v = 4,244,699 m/s = (4.245 × 10⁶) m/s
Explanation:
The electric force on the proton is given by
F = qE
where q = charge on the proton = (1.602 × 10⁻¹⁹) C
E = Electric field = 720,000 N/C
F = (1.602 × 10⁻¹⁹ × 720000)
F = (1.153 × 10⁻¹³) N
But this force will accelerate the proton in this magnetic field in a form of trajectory motion.
We can obtain the acceleration using Newton's first law of motion relation
F = ma
m = mass of a proton = (1.673 × 10⁻²⁷) kg
a = (F/m)
a = (1.153 × 10⁻¹³)/(1.673 × 10⁻²⁷)
a = 68,944,411,237,298 m/s²
a = (6.894 × 10¹³) m/s²
This acceleration directs the proton from the positive plate to the negative plate, covering a distance of y = 0.006 m (the distance between the plates)
Using Equations of motion, we can obtain the time taken for the proton to move from the rest at the positive plate to the negative one.
u = initial velocity of the proton = 0 m/s
y = vertical distance covered by the proton = 0.006 m
a = acceleration of the proton in this direction = (6.894 × 10¹³) m/s²
t = time taken for the proton to complete this distance = ?
y = ut + (1/2) at²
0.006 = 0 + [(1/2)×(6.894 × 10¹³)×t²]
0.006 = (3.447 × 10¹³) t²
t² = (0.006)/(3.447 × 10¹³)
t² = 1.741 × 10⁻¹⁶
t = (1.32 × 10⁻⁸) s
Then we can then calculate the minimum speed to navigate the entire length of the plates without hitting the plates.
v = ?
x = 0.056 n
t = (1.32 × 10⁻⁸)
v = (x/t)
v = (0.056)/(1.32 × 10⁻⁸)
v = 4,244,699 m/s = (4.245 × 10⁶) m/s
Hope this Helps!!!
Answer:
v = 9.09×10⁵m/s
Explanation:
Given
d = the distance between plates = 0.6cm = 0.006
E = Electric field strength = 720000N/C
m =mass of the proton = 1.67 ×10-²⁷ kg
The
Electric potential energy of the field is converted into the the kinetic energy of the proton.
So
qV = 1/2mv²
But V = Ed
So q(Ed) = 1/2mv²
v² = 2qEd/m
v = √(2qEd/m)
v = √(2×1.6×10-¹⁹×720000×0.006/1.67×10-²⁷)
v = 9.09×10⁵m/s
Answer:
C a position from which something is observed
om edu 2021
Explanation:
Answer: A system or frame of reference are those conventions used by an observer (usually standing at a point on the ground) to be able to measure the position and other physical magnitudes.
Given values are:
As we know,
→
or,
→
BY substituting the values, we get
Thus the answer above is right.
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Answer:
2 A
Explanation:
From the question,
Q = it..................... Equation 1
Where Q = Quantity of charge, i = cudrrent, t = time.
Make i the subject of the equation
i = Q/t.......................... Equation 2
Given: Q = 20 C, t = 10 seconds.
Substitute these values into equation equation 2
i = 20/10
i = 2 A.
Hence the current is 2A