a runner who has a mass of 52 g , has a momentum of 218 kg/m/s along a trail. what is the runners velocity?
convert 52 g to kg and then 218 divided by that number
To find the runner's velocity, we can use the formula for momentum:
Momentum (p) = mass (m) × velocity (v)
We are given the runner's mass as 52 g, which can be converted to kilograms by dividing it by 1000:
Mass (m) = 52 g ÷ 1000 = 0.052 kg
We also know the runner's momentum is 218 kg/m/s.
Now we can rearrange the formula to solve for velocity:
Momentum = Mass × Velocity
218 kg/m/s = 0.052 kg × Velocity
Solving for velocity:
Velocity (v) = 218 kg/m/s ÷ 0.052 kg
v ≈ 4192.31 m/s
Therefore, the runner's velocity is approximately 4192.31 m/s.