Mass of Body given Distance Traveled and Constant K Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass = (Spring Constant*Distance Traveled)/Acceleration
M = (K*D)/a
This formula uses 4 Variables
Variables Used
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Spring Constant - Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.
Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.
Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in time.
STEP 1: Convert Input(s) to Base Unit
Spring Constant: 10 --> No Conversion Required
Distance Traveled: 65 Meter --> 65 Meter No Conversion Required
Acceleration: 14 Meter per Square Second --> 14 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (K*D)/a --> (10*65)/14
Evaluating ... ...
M = 46.4285714285714
STEP 3: Convert Result to Output's Unit
46.4285714285714 Kilogram --> No Conversion Required
FINAL ANSWER
46.4285714285714 46.42857 Kilogram <-- Mass
(Calculation completed in 00.020 seconds)

Credits

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Indian Institute of Information Technology (IIIT), Guwahati
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Mass of Body given Distance Traveled and Constant K Formula

Mass = (Spring Constant*Distance Traveled)/Acceleration
M = (K*D)/a

What is SHM?

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

How to Calculate Mass of Body given Distance Traveled and Constant K?

Mass of Body given Distance Traveled and Constant K calculator uses Mass = (Spring Constant*Distance Traveled)/Acceleration to calculate the Mass, The Mass of body given distance traveled and constant k formula is defined as A mass on a spring that will trace out a sinusoidal pattern as a function of time, as will any object vibrating in simple harmonic motion. One way to visualize this pattern is to walk in a straight line at a constant speed while carrying the vibrating mass. Mass is denoted by M symbol.

How to calculate Mass of Body given Distance Traveled and Constant K using this online calculator? To use this online calculator for Mass of Body given Distance Traveled and Constant K, enter Spring Constant (K), Distance Traveled (D) & Acceleration (a) and hit the calculate button. Here is how the Mass of Body given Distance Traveled and Constant K calculation can be explained with given input values -> 46.42857 = (10*65)/14.

FAQ

What is Mass of Body given Distance Traveled and Constant K?
The Mass of body given distance traveled and constant k formula is defined as A mass on a spring that will trace out a sinusoidal pattern as a function of time, as will any object vibrating in simple harmonic motion. One way to visualize this pattern is to walk in a straight line at a constant speed while carrying the vibrating mass and is represented as M = (K*D)/a or Mass = (Spring Constant*Distance Traveled)/Acceleration. Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter, Distance Traveled defines how much path an object has covered to reach its destination in a given period & Acceleration is the rate of change in velocity to the change in time.
How to calculate Mass of Body given Distance Traveled and Constant K?
The Mass of body given distance traveled and constant k formula is defined as A mass on a spring that will trace out a sinusoidal pattern as a function of time, as will any object vibrating in simple harmonic motion. One way to visualize this pattern is to walk in a straight line at a constant speed while carrying the vibrating mass is calculated using Mass = (Spring Constant*Distance Traveled)/Acceleration. To calculate Mass of Body given Distance Traveled and Constant K, you need Spring Constant (K), Distance Traveled (D) & Acceleration (a). With our tool, you need to enter the respective value for Spring Constant, Distance Traveled & Acceleration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mass?
In this formula, Mass uses Spring Constant, Distance Traveled & Acceleration. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mass = Spring Constant/(Angular Frequency^2)
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