<span>Assuming pulley is frictionless. Let the tension be ‘T’. See equation below.</span>
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Answer:
197.263157895 m/s
169.491525424 m/s
Explanation:
x Denotes position
t Denotes time
Average velocity is given by

The average velocity is 197.263157895 m/s

The average velocity is 169.491525424 m/s
Answer:
- R = ( 4.831 m , 1.469 m )
- Direction of R relative to the x axis= 16°54'33'
Explanation:
Knowing the magnitude and directions relative to the x axis, we can find the Cartesian representation of the vectors using the formula

where
its the magnitude and θ.
So, for our vectors, we will have:


and


Now, we can take the sum of the vectors




This is R in Cartesian representation, now, to find the magnitude we can use the Pythagorean theorem





To find the direction, we can use




As we are in the first quadrant, this is relative to the x axis.
Answer:
Explanation:
The formula for Kinetic Energy is
. Filling in:
It looks like we only need 1 significant digit here but I'll give you 2 and you can round how you want.
KE = 2.4 × 10⁵ J
Well if the boat initially at rest accelerates at uniformly at 4.0 m/s (squared) then it would be best to muitlply it so 4.0 squared equals 2 by multiplying that by 7.0 your answer would be 14 s