James (mass 93.0 kg ) and Ramon (mass 55.0 kg ) are 20.0 m apart on a frozen pond. Midway between them is a mug of their favorite beverage. They pull on the ends of a light rope stretched between them. Ramon pulls on the rope to give himself a speed of 1.10 m/s. What is James's speed?

Respuesta :

Answer:

v₁ = - 0.65 m/s  (opposite to the direction of Ramon)

Explanation:

Given that

m ₁= 93 kg (James )

m₂ = 55 kg ( Ramon)

v₂=1.1 m/s

The velocity of James = v₁

There is no any external force so  linear momentum will remain conserve

0 = m ₁ v₁ + m₂ v₂

m ₁ v₁ = - m₂ v₂

93 v₁  = - 55 x 1.1

v₁ = - 0.65 m/s  (opposite to the direction of Ramon)

Answer:

Velocity of james will be 0.6505 m/sec

Explanation:

We have given mass of James [tex]m_1=93 kg[/tex]

Mass of Ramon [tex]m_2=55 kg[/tex]

Velocity of Roman [tex]v_2=1.1m/sec[/tex]

Initial both are at rest so initial momentum = 0

From conservation of momentum we know that

Initial momentum = final momentum

So [tex]m_1v_1+m_2v_2=0[/tex]

[tex]93\times v_1+55\times 1.1=0[/tex]

[tex]v_1=-0.6505m/sec[/tex]

Negative sign shows the direction of velocity