Kinetic Energy
How to calculate
Kinetic energy is given by K.E.
Where
- m is denoted to mass
- v is denoted to velocity
What is the magnitude of a the displacement vector for a woman who runs 915 m West and then turns and goes 681 m North.
1 answer:
Answer: 1141km
Explanation:
Given the following :
Distance due west = 915m
Distance due North = 681m
The magnitude of the Displacement =?
The information above produces a right angle triangle and the magnitude of the displacement can be calculated using Pythagoras rule :
The Magnitude of the woman's Displacement represents the hypotenuse of the triangle:
From Pythagoras :
Hypotenus = √(opposite)^2 + (adjacent)^2
Hypotenus = √(915)^2 + (681)^2
Hypotenuse = √1300986
Hypotenuse= 1140.6077
The magnitude of woman's displacement = 1140.6077 = 1141(to the nearest kilometer).
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The astronaut will move at 0.4 m/s in the opposite direction to the wrench
Explanation:
We can solve this problem by using the law of conservation of momentum. In fact, the total momentum of the astronaut-wrench system must be conserved before and after the launch.
Before the launch, the total momentum is zero, since the astronaut is at rest:
p = 0 (1)
After the launch, the total momentum is:
(2)
where :
m = 2 kg is the mass of the wrench
v = 10 m/s is the velocity of the wrench
M = 50 kg is the mass of the astronaut
V is the recoil velocity of the astronaut
Since momentum is conserved, we can write (1) = (2), and so we can solve for V:
And the negative sign means that the astronaut will move in the opposite direction to the wrench.
Learn more about conservation of momentum:
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