Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

momentum and impulse guided inquiry through this guided inquiry you wil…

Question

momentum and impulse guided inquiry
through this guided inquiry you will gain experience with the physical quantity of momentum, how it is calculated and how it is changed. you will also experience how change in momentum is related to a property known as impulse.
read this! momentum can be defined as \mass in motion.\ all objects have mass; so if an object is moving, then it has momentum - it has its mass in motion. the amount of momentum that an object has is dependent upon two variables: how much stuff is moving and how fast the stuff is moving. momentum depends upon the variables mass and velocity.
model 1
p = mv
momentum (p) = mass x velocity
based on model 1, what is the mass of the dump truck?
based on the model, what two quantities are required to calculate the momentum of an object?
how many times greater is the mass of the dump truck than the mass of the mini cooper?
calculate the missing variables in the table below.

objectmassvelocitymomentum
dump truck15,500 kg23,250 kg*m/s

Explanation:

Step1: Identify mass of dump - truck

From the image, the mass of the dump truck is given as 15500 kg.

Step2: Identify quantities for momentum calculation

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

Step3: Calculate mass - ratio

The mass of the Mini Cooper is 640 kg and of the dump truck is 15500 kg. The ratio is $\frac{15500}{640}=\frac{775}{32}= 24.21875$.

Step4: Calculate velocity of dump - truck

Using $p = mv$, we can find $v=\frac{p}{m}$. For the dump truck, $p = 23250$ kg·m/s and $m = 15500$ kg. So $v=\frac{23250}{15500}=1.5$ m/s.

Answer:

  1. Mass of the dump truck: 15500 kg
  2. Two quantities to calculate momentum: Mass and velocity
  3. Mass - ratio: 24.21875
  4. Velocity of dump truck: 1.5 m/s