Vector A⃗ has a magnitude of 3.00 and is directed parallel to the negative y-axis and vector B⃗ has a magnitude of 3.00 and is d
irected parallel to the positive y-axis. Determine the magnitude and direction angle (as measured counterclockwise from the positive x-axis) of vector C⃗ , if C⃗ =A⃗ −B⃗ .
C = 6.00; θ = 270˚
C = 3.00; θ = 270˚
C = 6.00; θ = 90˚
C = 3.00; θ = 90˚
C = 6.00; θ = 270˚
C = 3.00; θ = 270˚
C = 6.00; θ = 90˚
C = 3.00; θ = 90˚
2 answers:
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Answer:
Approximately .
Explanation:
The formula for the kinetic energy of an object is:
,
where
is the mass of that object, and
is the speed of that object.
Important: Joule () is the standard unit for energy. The formula for
requires two inputs: mass and speed. The standard unit of mass is
while the standard unit for speed is
. If both inputs are in standard units, then the output (kinetic energy) will also be in the standard unit (that is: joules,
Convert the unit of the arrow's mass to standard unit:
.
Initial of this arrow:
.
That's the same as the energy output of this bow. Hence, the efficiency of energy transfer will be:
.
Emily throws the ball at 30 degree below the horizontal
so here the speed is 14 m/s and hence we will find its horizontal and vertical components
vertical distance between them
now we will use kinematics in order to find the time taken by the ball to reach at Allison
here acceleration is due to gravity
now we will have
now solving above quadratic equation we have
now in order to find the horizontal distance where ball will fall is given as
here it shows that horizontal motion is uniform motion and it is not accelerated so we can use distance = speed * time
so the distance at which Allison is standing to catch the ball will be 5.33 m