Question

In: Physics

A 50 kg Astronaut is floating in space, at rest relative to her spaceship. The 5kg...

A 50 kg Astronaut is floating in space, at rest relative to her spaceship. The 5kg canister she used for getting around has run out of gas. To get back to the spaceship she decides to throw the canister in the opposite direction.
a) What is the total momentum of the astronaut-canister system after the throw (relative to the spaceship)?
b) If the canister moves away at a speed of 20 m/s, what is the Astronaut’s speed toward the spaceship?

Expert Solution

The initial speed of the astronaut u=0 m/s.

The mass of the astronaut is M=50 kg.

The mass of the canister is m= 5 kg.

Let the total momentum of the system is P.

From the conservation of the momentum the momentum after and before throw the canister is equal.

The total momentum of the system is after the throw 0 N.s.

b) Let the Astronaut’s speed toward the spaceship is v2.

The speed of the canister v1=20 m/s.

From the conservation of momentum

The Astronaut’s speed toward the spaceship is 2 m/s.

genius_generous answered 2 years ago

An astronaut is floating inside the international space station at rest--and since there are no other...

An astronaut is floating inside the international space station at rest--and since there are no other external forces she can rely on to change her state of motion--she decides to throw her jacket across the room. If her mass is 66.9kg and she throws the 1.1kg jacket at 14.7 m/s -- what is her recoil speed?

An astronaut has left the International Space Station to test a new space scooter. Her partner...

An astronaut has left the International Space Station to test a new space scooter. Her partner measures the following velocity changes, each taking place in a time interval 10.9 s . What are the average acceleration in each interval? Assume that the positive direction is to the right. Part A At the beginning of the interval the astronaut is moving toward the right along the x-axis at 14.1 m/s , and at the end of the interval she is moving...

Two astronauts, Hans and Dexter, are on a spacewalk, floating at rest next to their space...

Two astronauts, Hans and Dexter, are on a spacewalk, floating at rest next to their space vehicle. They argue and Hans shoots Dexter with a handgun. The bullet has a mass of 15 grams and a muzzle velocity of 250 m/s. Hans now finds himself drifitng away from the spacecraft. a. Hans and his spacecraft have a mass of 200kg, how fast is he drifting away? b. Hans only had one bullet, but he is holding a gun of mass...

Two astronauts floating at rest with respect to their ship in space decide to play catch...

Two astronauts floating at rest with respect to their ship in space decide to play catch with a 2-kg asteroid. Joe (whose mass is 100 kg) throws the asteroid at 20 m/s toward Jesse (whose mass is 68 kg). She catches it and throws it back at 18 m/s (with respect to the ship). What is Joe's speed right after his first throw? m/s What is Jesse's speed right after her first catch? m/s What is Jesse's speed right after...

The Federation space cruiser Execrable is floating in Federation territory at rest rel- ative to the...

The Federation space cruiser Execrable is floating in Federation territory at rest rel- ative to the border of Klingon space, which is 6.0 min away in the +x direction. Suddenly, a Klingon warship flies past the cruiser in the direction of the border at speed B = 3/5. Call this event A and let it define time zero in both the Klingon and cruiser reference frames. At tB = 5.0 min according to the cruiser clock, the Klingons emit a...

A 121-kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with...

A 121-kg astronaut (including space suit) acquires a speed of 2.20 m/s by pushing off with her legs from a 1600-kg space capsule. Use the reference frame in which the capsule is at rest before the push. Part A: What is the velocity of the space capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the velocity is in the direction of...

Two astronauts float in deep space, at rest relative to each other. Including the equipment they...

Two astronauts float in deep space, at rest relative to each other. Including the equipment they carry, the first astronaut has total mass 521 kg and the second astronaut has total mass 615 kg. The first astronaut throws a 656 kg box of tools at 4.66, and the second astronaut catches the box. After the throw and catch: find the speed of one astronaut relative to the other, in m/s.

The design condition for a space is 77 F (25 C) db and 50 percent relative...

The design condition for a space is 77 F (25 C) db and 50 percent relative humidity with 55 F (13 C) db supply air at 90 percent relative humidity A 50-ton, constant-volume space air conditioning system uses face and bypass and water temperature control. Outdoor air is supplied at 95 F (35 C) db, 60 percent relative humidity with a ratio of 1 Ibm (kg) to 5 Ibm (kg) return air. A part-load condition exists where the total space...

The 1500-kg truck reaches a speed of 50 km/h from rest in a distance of 60...

The 1500-kg truck reaches a speed of 50 km/h from rest in a distance of 60 m up the 10% incline with constant acceleration. Calculate the normal force under each pair of wheels and the effective coefficient of friction between the tires and the road during this motion.

A 1500 kg car starts from rest and drives around a flat 50-m-diameter circular track. The...

A 1500 kg car starts from rest and drives around a flat 50-m-diameter circular track. The forward force provided by the car’s drive wheels is a constant 1000 N. A. What are the magnitude and direction of the car’s acceleration at t = 10 s? Give the direction as an angle from the r-axis. B. If the car has rubber tires and the track is concrete (use book or other reference to find coefficients of friction), at what time does...