A baseball has a mass of about 155 g. What is
the magnitude of the momentum of a baseball
thrown at a speed of 95 mph?(Note that you need to convert mass
to kilograms and miles per hour to meters per
second.)
Answer in units of kg · m/s
mass = 155/1000 = 0.155 kg.
V = 95mi/3600s * 1600m/mi = 42.2 m/s.
Momentum=m*V = 0.155 * 42.2=6.54 kg.m/s
To find the magnitude of momentum, we need to first convert the mass of the baseball from grams to kilograms and then convert the speed from miles per hour to meters per second.
1. Convert mass from grams to kilograms:
Using the conversion factor 1 kg = 1000 g, we divide the mass by 1000:
155 g / 1000 = 0.155 kg
2. Convert speed from miles per hour to meters per second:
Using the conversion factors 1 mile = 1609.34 meters and 1 hour = 3600 seconds, we can calculate:
95 mph × (1609.34 meters / 1 mile) × (1 hour / 3600 seconds) = 42.51 m/s
Now, we have the mass (0.155 kg) and the speed (42.51 m/s) in the correct units.
3. Calculate the momentum:
Momentum is defined as the product of mass and velocity. The magnitude of momentum is the absolute value of this product:
Momentum = mass × velocity
Momentum = 0.155 kg × 42.51 m/s
Momentum ≈ 6.70 kg·m/s
Therefore, the magnitude of momentum of a baseball thrown at a speed of 95 mph is approximately 6.70 kg·m/s.
To calculate the magnitude of the momentum, we need to convert the mass to kilograms and the speed to meters per second.
1. Convert mass from grams to kilograms:
Since 1 kilogram (kg) is equal to 1000 grams (g), we divide the mass in grams by 1000:
155 g ÷ 1000 = 0.155 kg
2. Convert speed from miles per hour to meters per second:
To convert from miles per hour (mph) to meters per second (m/s), we use the conversion factor 1 mph = 0.44704 m/s:
95 mph × 0.44704 m/s = 42.5148 m/s
Now, we can calculate the magnitude of the momentum using the formula:
Momentum = mass × velocity
Momentum = 0.155 kg × 42.5148 m/s
Momentum ≈ 6.60484 kg·m/s
Therefore, the magnitude of the momentum of a baseball thrown at a speed of 95 mph is approximately 6.60484 kg·m/s.