A hockey puck with a mass of 0.16 kg travels at a velocity of 40 m/s toward a goalkeeper. The goalkeeper has a mass of 120 kg and is at rest. Assuming a closed system, find the total momentum of the goalkeeper and puck after the puck is caught by the goalkeeper. Identify the object with the greater momentum after the puck is caught.

Can you pls explain cuz I don’t understand this at all 😭

conserve momentum, so p = 0.16*40 = 6.4 kg-m/s

after the collision, both the goalie and the puck are moving with the same velocity.

p = mv

Well, my friend, let's break this down step by step, and hopefully, it will be easier for you to understand!

First, let's find the momentum of the hockey puck before it is caught. The momentum of an object is calculated by multiplying its mass by its velocity. So, the momentum of the hockey puck is:

Momentum of the hockey puck = mass of the hockey puck × velocity of the hockey puck
Momentum of the hockey puck = 0.16 kg × 40 m/s

Now, let's find the momentum of the goalkeeper before the puck is caught. Since the goalkeeper is at rest, the velocity is 0 m/s. Using the same formula:

Momentum of the goalkeeper = mass of the goalkeeper × velocity of the goalkeeper
Momentum of the goalkeeper = 120 kg × 0 m/s

Now that we have the momenta of both objects before the catch, let's add them up to find the total momentum of the system before the catch.

Total momentum before the catch = Momentum of the hockey puck + Momentum of the goalkeeper

Now that the puck is caught, both objects are together, and their combined momentum should be zero, according to the law of conservation of momentum. So, the momentum of the hockey puck and the goalkeeper after the catch is 0 kg*m/s.

In terms of which object has the greater momentum, the puck or the goalkeeper, we can see that the goalkeeper has a much larger mass than the puck. So, even though the puck has a higher velocity, the goalkeeper's mass gives it a greater momentum.

I hope that clears things up for you, or at least brings a smile to your face! Keep learning and stay curious!

Of course, I'll be happy to explain this for you step-by-step!

Step 1: Calculate the momentum of the hockey puck before it is caught.
The momentum of an object is given by the equation: momentum = mass x velocity.
Given: mass of the puck = 0.16 kg and velocity of the puck = 40 m/s.
So, momentum of the puck before it is caught = 0.16 kg x 40 m/s = 6.4 kg*m/s.

Step 2: Calculate the momentum of the goalkeeper.
Since the goalkeeper is initially at rest, the initial momentum of the goalkeeper is zero.
Momentum of the goalkeeper = 0 kg*m/s.

Step 3: Calculate the total momentum after the puck is caught.
Since the system is closed, the total momentum before and after the interaction must be equal.
Total momentum before the puck is caught = momentum of the puck + momentum of the goalkeeper.
Total momentum after the puck is caught = total momentum before the puck is caught.

Step 4: Determine the object with the greater momentum after the puck is caught.
Since the total momentum before the puck is caught is equal to the total momentum after it is caught, both the puck and the goalkeeper have the same momentum.
Thus, the object with the greater momentum after the puck is caught is none – they have the same momentum.

In summary, the total momentum of the goalkeeper and puck after the puck is caught will be 6.4 kg*m/s, and both the puck and the goalkeeper will have the same momentum.

Sure, I can explain this to you step by step.

First, let's understand what momentum is. Momentum is a property of moving objects and is given by the product of an object's mass and its velocity. The formula for momentum is:

Momentum = mass * velocity

Now, let's find the momentum of the hockey puck before it is caught by the goalkeeper. The mass of the puck is given as 0.16 kg, and its velocity is given as 40 m/s. So, we can calculate the momentum of the puck as:

Momentum of the puck = mass of the puck * velocity of the puck
= 0.16 kg * 40 m/s
= 6.4 kg⋅m/s

Next, let's find the momentum of the goalkeeper before the puck is caught. The mass of the goalkeeper is given as 120 kg, and the goalkeeper is at rest. Since the velocity of the goalkeeper is 0 m/s, the momentum of the goalkeeper is:

Momentum of the goalkeeper = mass of the goalkeeper * velocity of the goalkeeper
= 120 kg * 0 m/s
= 0 kg⋅m/s

Now, let's find the total momentum of the system after the puck is caught by the goalkeeper. Since this is a closed system, the total momentum before the catch should be equal to the total momentum after the catch.

Total momentum before the catch = Total momentum after the catch

Initially, the momentum of the puck is 6.4 kg⋅m/s, and the momentum of the goalkeeper is 0 kg⋅m/s, so their total momentum before the catch is 6.4 kg⋅m/s.

After the puck is caught by the goalkeeper, both the puck and the goalkeeper will be moving together with the same final velocity. Let's assume the final velocity of the system after the catch is 'V'. Since the velocity is the same for both objects after the catch, we can use the formula for the total momentum of a system with two objects:

Total momentum after the catch = (mass of the puck + mass of the goalkeeper) * velocity after the catch

Given that the mass of the puck is 0.16 kg, the mass of the goalkeeper is 120 kg, and the total momentum after the catch is equal to the total momentum before the catch (6.4 kg⋅m/s), we can solve for 'V':

(0.16 kg + 120 kg) * V = 6.4 kg⋅m/s

(120.16 kg) * V = 6.4 kg⋅m/s

V = 6.4 kg⋅m/s / 120.16 kg

V ≈ 0.053 m/s

So, after the puck is caught, the system moves with a final velocity of approximately 0.053 m/s.

Finally, let's find the total momentum of the goalkeeper and puck after the catch. Since they are now moving together with the same velocity of 0.053 m/s, we can calculate their total momentum as:

Total momentum after the catch = (mass of the puck + mass of the goalkeeper) * velocity after the catch
= (0.16 kg + 120 kg) * 0.053 m/s
= 6.394 kg⋅m/s

Therefore, the total momentum of the goalkeeper and puck after the catch is approximately 6.394 kg⋅m/s.

To identify the object with the greater momentum after the catch, we compare the momentum of the goalkeeper and puck. Since the momentum of the goalkeeper is 0 kg⋅m/s and the momentum of the puck is 6.394 kg⋅m/s after the catch, we can see that the puck has a greater momentum.

Hence, the object with the greater momentum after the puck is caught is the puck itself.