Pls help! True or False?
2 answers:
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Answer:
D₂= 167,21 cm : Magnitude of the second displacement
β= 21.8° , countercockwise from the positive x-axis: Direction of the second displacement
Explanation:
We find the x-y components for the given vectors:
i: unit vector in x direction
j:unit vector in y direction
D₁: Displacement Vector 1
D₂: Displacement Vector 2
R= resulta displacement vector
D₁= 152*cos110°(i)+152*sin110°(j)=-51.99i+142.83j
D₂= -D₂(i)-D₂(j)
R= 131*cos38°(i)+ 131*sin38°(j) = 103.23i+80.65j
We propose the vector equation for sum of vectors:
D₁+ D₂= R
-51.99i+142.83j+D₂x(i)-D₂y(j) = 103.23i+80.65j
-51.99i+D₂x(i)=103.23i
D₂x=103.23+51.99=155.22 cm
+142.83j-D₂y(j) =+80.65j
D₂y=142.83-80.65=62.18 cm
Magnitude and direction of the second displacement
D₂= 167.21 cm
Direction of the second displacement
β= 21.8°
D₂= 167,21 cm : Magnitude of the second displacement
β= 21.8.° , countercockwise from the positive x-axis: Direction of the second displacement
Impulse on the object: -20 kg m/s
Explanation:
The impulse exerted on an object is a vector quantity equal to the product between the force exerted on the object and the time interval during which the force is applied.
The impulse exerted on an object is also equal to its change in momentum. Mathematically,
where:
m is the mass of the object
u is the initial velocity
v is the final velocity
For the object in this problem, we have
m = 5 kg
u = +6 m/s
v = +2 m/s
Therefore, its impulse is:
The negative sign means the direction of the impulse is opposite to the direction of motion of the object.
Learn more about impulse:
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