The force of 100dynes acts on a mass of 50 grams for 10 seconds. Find the change in moentum
To find the change in momentum, you need to use the formula:
Change in momentum (Δp) = Force × Time
In this case, the force is given as 100 dynes (dyne is the unit of force in the centimeter-gram-second system) and the time is 10 seconds. Now, before we calculate the change in momentum, let's convert the mass from grams to kilograms since the unit of momentum is kilogram meter per second (kg·m/s).
1 gram = 0.001 kilograms
Therefore, the mass of 50 grams is equal to 0.05 kilograms.
Now, substitute the values into the formula:
Δp = 100 dynes × 10 seconds
Since 1 dyne = 1 gram centimeter per second squared (g·cm/s²), we need to convert dyne to newton to match the unit of force in the International System of Units (SI).
1 dyne = 1 × 10^-5 newtons (N)
Therefore, the force in newtons is:
F = 100 dynes × (1 × 10^-5 N/dyne) = 0.001 newtons (N)
Substituting the force and time into the formula:
Δp = 0.001 N × 10 s
Δp = 0.01 kg·m/s
So, the change in momentum is 0.01 kilogram meter per second (kg·m/s).