An 80-kg astronaut becomes separated from his spaceship. He is 15.0 m away from it and at rest relative to it. In an effort to g
1 answer:
The astronaut will take 300 seconds
Explanation:
We can solve this problem by using the law of conservation of momentum.
In fact, the total momentum of the astronaut+object system must be conserved.
Initially, they are both at rest, so their total momentum is zero:
After the astronaut throws the object, their total momentum is:
where:
M = 80 kg is the mass of the astronaut
V is the final velocity of the astronaut
m = 500 g = 0.5 kg is the mass of the object
v = 8.0 m/s is the velocity of the object
Since momentum is conserved, we can write
And solving for V,
Which means that he starts moving at 0.05 m/s in the direction opposite to the object.
Now the astronaut needs to cover a distance of
d = 15.0 m
And his speed is
v = 0.05 m/s
Therefore, the time taken is
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1) Distance: 44 blocks
2) Displacement: 10.2 blocks at north of east
Explanation:
1)
- Distance is a scalar quantity that gives a measure of the total length of the path travelled by an object, regardless of its direction
- Displacement is a vector quantity which connects the initial position to the final position of motion of the object. Being a vector, it has both magnitude and direction: the magnitude is the shortest distance between initial and final position, while the direction goes from the initial to the final position.
In this problem, the motion is:
18 blocks north
10 blocks east
16 blocks south
So, the distance is the sum of the distances covered in each part:
distance = 18 + 10 + 16 = 44 blocks
2)
The displacement can be calculated by evaluating the initial and the final position. Along the north-south direction, the displacement is
blocks north
Along the east-west direction,
blocks east)
So, the magnitude of the displacement is given by Pythagorean's theorem
blocks
And the direction is given by
measured as north of east.
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Answer:
wavelength of the sound wave will be 0.977 m
Explanation:
We have given frequency of the sound wave f = 351 Hz
Speed of the sound wave v = 343 m/sec
We have to find the wavelength of the sound wave
We know that velocity of the sound wave is given by
So wavelength of the sound wave
So wavelength of the sound wave will be 0.977 m