if you push a 5g marble across a flat surface with the force of 10g how fast will it go?!
To determine the speed of the marble when pushed with a force, you can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). Here's how you can calculate the speed:
1. Convert the mass from grams to kilograms:
- Mass of the marble = 5g = 5/1000kg = 0.005kg
- Force applied = 10g = 10/1000kg = 0.01kg (Since it's specified as "g," we assume it refers to kilograms)
2. Determine the acceleration:
- Using Newton's second law of motion: F = ma
- Rearranging the equation to solve for acceleration: a = F/m
- Substituting the values we have: a = 0.01kg / 0.005kg = 2 m/s²
3. Calculate the speed (final velocity):
- Since we know that the initial velocity is zero (the marble was at rest),
- We can use the equation of motion: v = u + at, where u is the initial velocity (0) and t is the time taken.
- Rearranging the equation to solve for the final velocity: v = at
- Substituting the values we have: v = 2 m/s² × t
Keep in mind that without knowing the time taken or any additional information, we cannot determine the specific speed the marble will achieve.