High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ A 1.70-kg particle has a velocity (1.50 î − 5.00 ĵ) m/s, and a

5.00-kg particle has a velocity (1.00 î + 7.00 ĵ) m/s. (a) Find the

velocity of the center of mass. î + ĵ m/s (b) Find the total

Answer :

The velocity of the center of mass is 7.55 î + 26.50 ĵ m/s.For part (b), to find the total mass, we simply add the masses of the particles.

To find the velocity of the center of mass, we can use the formula:

V_cm = (m1 * v1 + m2 * v2) / (m1 + m2)

Where V_cm is the velocity of the center of mass, m1 and m2 are the masses of the particles, and v1 and v2 are their respective velocities.

Given:
Mass of particle 1 (m1) = 1.70 kg
Velocity of particle 1 (v1) = (1.50 î - 5.00 ĵ) m/s

Mass of particle 2 (m2) = 5.00 kg
Velocity of particle 2 (v2) = (1.00 î + 7.00 ĵ) m/s

Let's substitute these values into the formula:

V_cm = (1.70 kg * (1.50 î - 5.00 ĵ) m/s + 5.00 kg * (1.00 î + 7.00 ĵ) m/s) / (1.70 kg + 5.00 kg)

Simplifying the equation, we get:

V_cm = (1.70 kg * 1.50 î - 1.70 kg * 5.00 ĵ + 5.00 kg * 1.00 î + 5.00 kg * 7.00 ĵ) / (6.70 kg)

V_cm = (2.55 î - 8.50 ĵ + 5.00 î + 35.00 ĵ) / 6.70 kg

V_cm = (7.55 î + 26.50 ĵ) / 6.70 kg

Therefore, the velocity of the center of mass is 7.55 î + 26.50 ĵ m/s.

For part (b), to find the total mass, we simply add the masses of the particles:

Total mass = m1 + m2 = 1.70 kg + 5.00 kg = 6.70 kg.

So, the total mass is 6.70 kg.

I hope this helps! Let me know if you have any further questions.

To know more about velocity visit:

https://brainly.com/question/34025828

#SPJ11