Question

1. a bicycle of mass 6.0 kg traveling at a velocity of 10.0 m/s and a 25.0 kg car traveling at 2.0 m/s. which has greater momentum? (a) the car (b) the bicycle (c) the momentum are same (d) none of the above 27. a bag of rice you bought from walmart has an unknown mass you want to determine. assuming the speed of the bag of rice is 6 m/s and the momentum of the bag of rice is 30 kgm/s. the mass of the bag of rice is (a) 5.0 kg (b) 180 kg (c) 0.2 kg (d) 9.8 kg (e) none of the above

Explanation:

Step1: Recall momentum formula

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

Step2: Calculate momentum of the bicycle

For the bicycle, $m_{bicycle}=6.0\ kg$ and $v_{bicycle}=10.0\ m/s$. So $p_{bicycle}=m_{bicycle}v_{bicycle}=6.0\times10.0 = 60\ kg\cdot m/s$.

Step3: Calculate momentum of the car

For the car, $m_{car}=25.0\ kg$ and $v_{car}=2.0\ m/s$. So $p_{car}=m_{car}v_{car}=25.0\times2.0=50\ kg\cdot m/s$.
Since $p_{bicycle}=60\ kg\cdot m/s$ and $p_{car}=50\ kg\cdot m/s$, the bicycle has greater momentum.

Step4: Solve for mass of rice bag

Given $p = 30\ kg\cdot m/s$ and $v = 6\ m/s$ for the rice - bag. Using the formula $p = mv$, we can solve for $m$. Rearranging the formula gives $m=\frac{p}{v}$. Substituting the values, we get $m=\frac{30}{6}=5.0\ kg$.

Answer:

1. (b) The bicycle
2. (a) 5.0 kg