contestada

An astronaut with a mass of 90 kg (including spacesuit and equipment) is drifting away from his spaceship at a speed of 0.20 m/s with respect to the spaceship. The astronaut is equipped only with a 0.50-kg wrench to help him get back to the ship.

A). With what speed must he throw the wrench for his body to acquire a speed of 0.10 m/s?
B). In what direction relative to the spaceship must he throw the wrench? Towards the spaceship or away from the spaceship.

Respuesta :

zainsubhani

Answer:

Part A:

[tex]v_w=53.9\ m/s[/tex]

Part B:

Wrench is thrown away from the spaceship

Step-by-step explanation:

This the problem related to conservation of momentum.

According to the conservation of momentum:

Initial Momentum=Final Momentum

[tex]m_av_a=m_wv_w+(m_a-m_v)v[/tex]

where:

[tex]m_a[/tex] is the mass of astronaut

[tex]m_w[/tex] is the mass of wrench

[tex]m_a-m_w[/tex] is the mass when wrench is thrown

[tex]v_a[/tex] is the speed of astronaut

[tex]v_w[/tex] is the speed of wrench

v is the speed acquired

Part A:

(+ve sign for away from ship),( -ve sign for towards ship)

v= -0.10 m/s

[tex]90*0.2=0.5*v_w+(90-0.5)(-0.1)\\v_w=53.9\ m/s[/tex]

Part B:

Since velocity is +ve as calculated above and according to conditions:

  • +ve sign for away from ship
  • -ve sign for towards ship

Wrench is thrown away from the spaceship

Otras preguntas