Question

a bicycle has a momentum of 24 kgm/s. what momentum would the bicycle have if it had the same mass and was moving with one - half the speed? 1/4 the momentum; 6 kgm/s, twice the momentum; 48 kgm/s, 1/2 the momentum; 12 kgm/s, 4x the momentum; 96 kg*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: Analyze the change in velocity

Let the initial momentum $p_1=mv_1 = 24\ kg\cdot m/s$. The new velocity $v_2=\frac{1}{2}v_1$ and mass $m$ remains the same. So the new momentum $p_2 = m\times v_2=m\times\frac{1}{2}v_1$.

Step3: Calculate new momentum

Since $p_1 = mv_1 = 24\ kg\cdot m/s$ and $p_2=\frac{1}{2}mv_1$, then $p_2=\frac{1}{2}p_1$. Substituting $p_1 = 24\ kg\cdot m/s$, we get $p_2=\frac{1}{2}\times24 = 12\ kg\cdot m/s$.

Answer:

C. 1/2 the momentum; 12 kg*m/s