The distance travelled by a body in the nth second is given by the expression (2 + 3n).

Also, What is the Sn formula?

Sn = a + (a + d)+(a + 2d) + … + (ℓ − 2d)+(ℓ − d) + ℓ. 2 n(a + ℓ) . We have found the sum of an arithmetic progression in terms of its first and last terms, a and ℓ, and the number of terms n.

Hereof, What is the dimensional formula of distance?

Hence, [M0L1T0] is the dimensional formula of distance travelled in nth second by a particle moving with uniform acceleration.

Also to know What is the fourth equation of motion? In the same manner fourth equation of motion[S = vt – ½ at2] and fifth equation of motion [S = ½ (u + v) × t] is also derived from velocity-time graph. Hence, the total equations of motion are five.

What is the sum of n numbers?

The formula of the sum of first n natural numbers is S=n(n+1)2 . If the sum of first n natural number is 325 then find n.

21 Related Questions Answers Found

What is the SI unit of distance?

The SI unit of distance and displacement is the meter [m]. The meter is one of the seven base units of the International System of Units.

What is Newton’s 4th Law?

What is the fourth law of motion? “In Zero Gravity, how much is the speed added to an object, and the more that it is impacted, that much. will the object be moving in different ways.

What are the 3 equations of motion?

Three Equations of Motion are v = u + at; s = ut + (1/2) at² and v² = u² + 2as and these can be derived with the help of velocity time graphs using definition acceleration.

What are the five equations that describe uniform accelerated motion?

Uniformly Accelerated Motion Equations in Textbooks

These are: a = the acceleration, taken to be constant, t = the amount of time the object has been accelerating, vo = the initial velocity of the object, vf = the velocity of the object at time t later, and Δx = the displacement of the object during the time interval.

What is the sum of 1 to n numbers?

Sum of the First n Natural Numbers. We prove the formula 1+ 2+ … + n = n(n+1) / 2, for n a natural number. There is a simple applet showing the essence of the inductive proof of this result.

How do you find the sum of 1 n?

To find the sum of a series of arithmetic terms (that is, terms that increase or decrease by a constant amount each term), use the formula S˯n = n(a˯1 + a˯n)/2, where n is the number of terms, a˯1 is the first term in the sequence, and a˯n is the last term in the sequence.

What is the sum of 1 100?

The sum of the numbers 1-100 would be equal to the number of pairs (50) multiplied by the sum of each pair (101), or 50 x 101 = 5,050.

What is the SI unit of 2 km?

kilometre is the unit of length. and it’s SI Unit is meter..

What is SI unit of speed?

The SI unit of speed is the metre per second (m/s), but the most common unit of speed in everyday usage is the kilometre per hour (km/h) or, in the US and the UK, miles per hour (mph).

What is the SI unit of acceleration?

The SI unit of acceleration is metres/second2 (m/s2). Force (F), mass (m) and acceleration (g) are linked by Newton’s Second Law, which states that ‘The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass’.

What is Newton’s third law example?

Examples of Newton’s third law of motion are ubiquitous in everyday life. For example, when you jump, your legs apply a force to the ground, and the ground applies and equal and opposite reaction force that propels you into the air. Engineers apply Newton’s third law when designing rockets and other projectile devices.

What is the SI unit of velocity?

Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s1).

What is circular motion formula?

If the magnitude of the velocity of an object traveling in uniform circular motion is v, then the velocity will be equal to the circumference C of the circle divided by the period. Thus, V = frac{C}{T} The circumference of the circle is equal to pi Π multiplied by the radius R. So, C = 2Π R.

What is V U at in physics?

v=u+at is the first equation of motion. In this v=u+at equation, u is initial velocity. v is the final velocity. a is acceleration.

How Can acceleration be calculated?

Calculating acceleration involves dividing velocity by time — or in terms of SI units, dividing the meter per second [m/s] by the second [s]. Dividing distance by time twice is the same as dividing distance by the square of time. Thus the SI unit of acceleration is the meter per second squared .

What are the three laws of uniformly accelerated motion?

In case of uniform acceleration, there are three equations of motion which are also known as the laws of constant acceleration. … The three equations are, v = u + at. v² = u² + 2as.

What is the sum of 1 to infinity?

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

What is the sum of the numbers 1 to 20?

210 is a sum of number series from 1 to 20 .

What is the sum of 1 to 365?

66795 is a sum of number series from 1 to 365 by applying the values of input parameters in the formula.

What is the sum of 1 to 20?

210 is a sum of number series from 1 to 20 by applying the values of input parameters in the formula.

What is the total sum of 1 to 30?

Input parameters & values: The number series 1, 2, 3, 4, . . . . , 29, 30. Therefore, 465 is the sum of positive integers upto 30.