Although it can't sustain its top speed for more than 8.65 sec, the cheetah can run a distance of 274 m during that time. If a cheetah with a mass of 50.0 kg is moving north at its top speed. what is its momentum?
1580
To calculate the momentum of an object, we use the equation:
Momentum (p) = mass (m) × velocity (v)
Given:
Mass of the cheetah (m) = 50.0 kg
Distance covered in the given time (d) = 274 m
Time (t) = 8.65 sec
To find the velocity, we can use the formula:
Velocity (v) = Distance (d) / Time (t)
Substituting the given values:
v = 274 m / 8.65 sec
v ≈ 31.69 m/s (rounded to two decimal places)
Now we can calculate the momentum:
Momentum (p) = 50.0 kg × 31.69 m/s
Momentum (p) ≈ 1584.50 kg·m/s (rounded to two decimal places)
Therefore, the momentum of the cheetah is approximately 1584.50 kg·m/s moving north at its top speed.
To find the momentum of the cheetah, we need to use the formula for momentum:
Momentum = mass × velocity
We are given the mass of the cheetah, which is 50.0 kg. However, we need to determine the velocity of the cheetah.
Since the cheetah can sustain its top speed for 8.65 seconds and covers a distance of 274 m during that time, we can find the velocity by dividing the distance by the time:
Velocity = Distance / Time
Velocity = 274 m / 8.65 s
Now we can calculate the velocity:
Velocity ≈ 31.71 m/s
Now that we have the mass (50.0 kg) and velocity (31.71 m/s), we can calculate the momentum:
Momentum = 50.0 kg × 31.71 m/s
Momentum ≈ 1585.5 kg·m/s
Therefore, the momentum of the cheetah is approximately 1585.5 kg·m/s.