Question

question 8 (1 point) a moving car has momentum. if it moves twice as fast, its momentum is __________ as much. a twice b the same c half d three times question 9 (1 point) two cars, one twice as heavy as the other, move down a hill at the same speed. compared to the lighter car, the momentum of the heavier car is __________ a half as much b twice as much c the same as d three times as much question 10 (1 point) a football player has a mass of 100 kg and a velocity of 10 m/s. what is his momentum? a 10 kgm/s b 1000 kgm/s c 10,000 kg*m/s d 5 m/s

Explanation:

Step1: Recall momentum formula

The formula for momentum is $p = mv$, where $p$ is momentum, $m$ is mass and $v$ is velocity.

Step2: Solve Question 8

Let the initial velocity be $v$ and mass be $m$, so initial momentum $p_1=mv$. When the velocity becomes $2v$ (moves twice as fast) and mass remains $m$, the new momentum $p_2 = m\times(2v)=2mv$. So $p_2 = 2p_1$, the momentum is twice as much.

Step3: Solve Question 9

Let the mass of the lighter car be $m$ and velocity be $v$, so its momentum $p_1=mv$. The mass of the heavier car is $2m$ and velocity is $v$, so its momentum $p_2=(2m)v = 2mv$. Compared to the lighter - car, the momentum of the heavier car is twice as much.

Step4: Solve Question 10

Given $m = 100\ kg$ and $v = 10\ m/s$. Using the formula $p=mv$, we substitute the values: $p=100\times10=1000\ kg\cdot m/s$.

Answer:

Question 8: A. twice
Question 9: B. twice as much
Question 10: B. 1000 Kg*m/s