Jenny has a mass of 33.6 kg and her skateboard has a mass of 1.5 kg. What is the momentum of Jenny and her skateboard together if they are going 9.50 m/s?
as always, p = mv = (33.6 + 1.5)(9.5)
To calculate the momentum of Jenny and her skateboard, we can use the formula:
Momentum = mass * velocity
Since we need to calculate the momentum of both Jenny and her skateboard together, we will add their individual momenta.
The momentum of Jenny is:
Momentum of Jenny = mass of Jenny * velocity
The momentum of the skateboard is:
Momentum of skateboard = mass of skateboard * velocity
Adding them together will give us the total momentum:
Total momentum = Momentum of Jenny + Momentum of skateboard
Now, let's calculate each part:
Momentum of Jenny:
mass of Jenny = 33.6 kg
velocity = 9.50 m/s
Momentum of Jenny = 33.6 kg * 9.50 m/s
Momentum of skateboard:
mass of skateboard = 1.5 kg
velocity = 9.50 m/s
Momentum of skateboard = 1.5 kg * 9.50 m/s
Total momentum = (33.6 kg * 9.50 m/s) + (1.5 kg * 9.50 m/s)
Calculate the products first:
Momentum of Jenny = 319.2 kg·m/s
Momentum of skateboard = 14.25 kg·m/s
Now add them together:
Total momentum = 319.2 kg·m/s + 14.25 kg·m/s
Total momentum = 333.45 kg·m/s
Therefore, the momentum of Jenny and her skateboard together is 333.45 kg·m/s.
To calculate momentum, you need to multiply the mass of an object by its velocity. In this case, we have two objects: Jenny and her skateboard. To find the momentum of both Jenny and her skateboard combined, we need to add up their individual momenta.
Let's calculate the momentum of Jenny first:
Momentum = Mass × Velocity
The mass of Jenny is given as 33.6 kg, and her velocity is given as 9.50 m/s. Plugging in these values, we can calculate her momentum:
Momentum of Jenny = 33.6 kg × 9.50 m/s
Next, let's calculate the momentum of the skateboard:
Momentum of skateboard = Mass × Velocity
The mass of the skateboard is given as 1.5 kg, and its velocity is also given as 9.50 m/s:
Momentum of skateboard = 1.5 kg × 9.50 m/s
Now, to find the momentum of both Jenny and her skateboard combined, we add their individual momenta together:
Total momentum = Momentum of Jenny + Momentum of skateboard
Substituting the previously calculated values:
Total momentum = (33.6 kg × 9.50 m/s) + (1.5 kg × 9.50 m/s)
By simplifying this equation, we can find the answer to the question.