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erica [24]
3 years ago
6

The volume of an object as a function of time is calculated by v = At3+B÷t where t is time measured in seconds and v is in cubic

metres. Determine the dimension of the constants A and B.​
Physics
1 answer:
madam [21]3 years ago
3 0

Answer:

A = m³/s³ = [L]³/[T]³ = [L³T⁻³]

B = m³s = [L³T]

Explanation:

We have the equation:

V = At³ + B/t

where, the dimensions of each variable are as follows:

V = m³ = [L]³

t = s = [T]

substituting these in equation, we get:

m³ = A(s)³ + B/s

for the homogeneity of the equation:

A(s)³ = m³

<u>A = m³/s³ = [L]³/[T]³ = [L³T⁻³]</u>

Also,

B/s = m³

<u>B = m³s = [L³T]</u>

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An electron moves with a constant horizontal velocity of 3.0 × 106 m/s and no initial vertical velocity as it enters a deflector
Ghella [55]

Answer:

a = 5.05 x 10¹⁴ m/s²

Explanation:

Consider the motion along the horizontal direction

v_{x} = velocity along the horizontal direction = 3.0 x 10⁶ m/s

t = time of travel

X = horizontal distance traveled = 11 cm = 0.11 m

Time of travel can be given as

t = \frac{X}{v_{x}}

inserting the values

t = 0.11/(3.0 x 10⁶)

t = 3.67 x 10⁻⁸ sec

Consider the motion along the vertical direction

Y = vertical distance traveled = 34 cm = 0.34 m

a = acceleration = ?

t = time of travel  = 3.67 x 10⁻⁸ sec

v_{y} = initial velocity along the vertical direction = 0 m/s

Using the kinematics equation

Y = v_{y} t + (0.5) a t²

0.34 = (0) (3.67 x 10⁻⁸) + (0.5) a (3.67 x 10⁻⁸)²

a = 5.05 x 10¹⁴ m/s²

7 0
3 years ago
Sir Isaac newton's book on laws of motion and gravity is considered of what significance 
Mars2501 [29]

Answer:

B)

Explanation:

a brilliant work on all the principles it open up a whole new world and change the world algebraicly

7 0
2 years ago
State the name of electromagnetic wave other than visible light ?​
Natali5045456 [20]

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7 0
3 years ago
An object moves in uniform motion at 25 m/s and takes 1.0 seconds to go a quatar circle. What is the radius of the circle
Mkey [24]

If the it took the object travelling at 25m/s 1 second to travel a quarter of the circle, it means a quarter of the circle is 25m (it travels 25m in one second).

If the quarter of the  circle is 25m than the circumference of the circle is 100m.

We want to calculate the radius of the circle.

Remember that the equation for finding the circumference contains the radius. We can use that equation to solve for the radius.

Circumference = 2πr

π = pi or 3.1415...... ( a number )

r = radius

Since we know the circumference, plug it in.

100m = 2πr

solve for the radius by isolating r.

100m/2π = r

r = radius = 100m/2π = 50m/π = 50/π meters


<h2>Answer: Radius = 50/π meters</h2>
3 0
3 years ago
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