A dog having a mass of 32.0 kg runs at a constant pace of 9.50 km/hr. What is the magnitude of the dog's momentum?
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To find the magnitude of the dog's momentum, we need to use the formula:
Momentum = mass × velocity
In this case, the mass of the dog is given as 32.0 kg, and the velocity is 9.50 km/hr.
First, we need to convert the velocity from km/hr to m/s since the mass is given in kilograms.
To convert km/hr to m/s, we use the conversion factor that 1 km = 1000 m and 1 hr = 3600 seconds.
The conversion can be done as follows:
9.50 km/hr × (1000 m / 1 km) × (1 hr / 3600 s)
= 9.50 × 1000 / 3600 m/s
≈ 2.6389 m/s (rounded to four decimal places)
Now that we have the velocity in m/s, we can calculate the momentum:
Momentum = 32.0 kg × 2.6389 m/s
≈ 84.4448 kg·m/s (rounded to four decimal places)
Therefore, the magnitude of the dog's momentum is approximately 84.4448 kg·m/s.