what is the ratio of SI units to CGS units of momentum? how do you measure the effect of an impulsive. force on the body
A ratio of SI units to CGS units of momentum is (kg m/s)/(g cm/s) i.e., 10^5.
The effect of an impulse force on the body is measured only in terms of impulse
That is rather simple: Kilogram/ gram=10^3
meter/centimeter=10^2
ratio= 10^5
implusive force: by change in momentum, mass*velocity
Write ratio between C.G.S and S.I unit of momentum
The S. I. Unit of momentum is=kg.M/s
The C. G. S. Unit of momentum =kg. M/s
The ratio between them is =1:1
The ratio between SI (International System of Units) units and CGS (Centimeter-Gram-Second) units of momentum can be calculated by understanding the conversion factors for momentum between the two systems.
In SI units, momentum is measured in kilogram meters per second (kg·m/s), whereas in CGS units, momentum is measured in gram centimeters per second (g·cm/s).
To convert from SI units to CGS units, we need to consider the following conversion factors:
1 kilogram (kg) = 1000 grams (g)
1 meter (m) = 100 centimeters (cm)
Using these conversion factors, we can calculate the ratio:
Momentum in SI units: 1 kg·m/s
Momentum in CGS units: (1 kg × 1000 g) × (1 m × 100 cm) / (1 s) = 100,000 g·cm/s
The ratio of SI units to CGS units of momentum is therefore:
1 kg·m/s : 100,000 g·cm/s, which can be simplified to 1:100,000.
Now, let's move on to the second part of your question - measuring the effect of an impulsive force on the body.
When an impulsive force acts on a body, it causes a change in momentum. The magnitude of this change in momentum (Δp) can be measured by multiplying the force (F) with the duration of the force (Δt). This can be expressed mathematically as:
Δp = F × Δt
Here, Δp represents the change in momentum, F represents the force, and Δt represents the duration of the force.
The force can be measured using a force-measuring device such as a dynamometer, which provides a quantitative measurement of the force applied to the object.
The duration of the force can be measured using a stopwatch or a timing device, which allows you to measure the elapsed time from the beginning to the end of the force application.
By multiplying the force with the duration of the force, you obtain the change in momentum experienced by the body due to the impulsive force.