what is the momentum of a free falling object that has a mass of 85 lbs. and falls for 20 seconds before it hits
vf=g*t= 20*9.8 m/s
momentum= mass*Vf
To calculate the momentum of a free-falling object, you need to know the mass and the velocity of the object. Since the object is falling freely, its velocity can be calculated using the formula v = g*t, where "g" is the acceleration due to gravity (approximately 9.8 m/s^2) and "t" is the time of fall.
First, we need to convert the mass of the object from pounds to kilograms, as the unit of mass in the SI system is kilograms. To convert pounds to kilograms, divide the mass in pounds by 2.205:
Mass in kg = 85 lbs / 2.205 = 38.58 kg (rounded to two decimal places)
Next, we calculate the velocity using the formula v = g*t:
Velocity, v = 9.8 m/s^2 * 20 s = 196 m/s
Finally, the momentum (p) of the object can be calculated by multiplying the mass (m) and velocity (v):
Momentum, p = mass * velocity = 38.58 kg * 196 m/s = 7562.68 kg·m/s (rounded to two decimal places)
Therefore, the momentum of the free-falling object with a mass of 85 lbs and falling for 20 seconds is approximately 7562.68 kg·m/s.