Answer:
its x and y component is 24.749m/s
Explanation:
Given
Speed of the dog = 35m/s
x component of the speed = xcos theta
y component of the speed = ycos theta
Given theta =45 degrees
x-component = 35cos45
x-component = 35(0.7071)
x-component = 24.749m/s
y-component = 35sin45
y-component = 35(0.7071)
y-component = 24.749m/s
Hence its x and y component is 24.749m/s
This is a beautiful problem to test whether a student actually understands
Newton's 2nd law of motion . . . Force = (mass) x (acceleration).
That simple law is all you need to solve this problem, but you need to
use it a few times.
m₁ alone:
Force = (mass) x (acceleration)
36 N = ( m₁ ) x (6 m/s²)
m₁ = (36 N) / (6 m/s²)
m₁ = 6 kilograms .
m₁ and m₂ glued together:
Force = (mass) x (acceleration)
36 N = (6 kg + m₂) x (2 m/s²)
6 kg + m₂ = (36 N) / (2 m/s²) = 18 kilograms
m₂ = 12 kilograms .
m₂ alone:
Force = (mass) x (acceleration)
36 N = (12 kg) x (acceleration)
Acceleration = (36 N) / (12 kg)
Acceleration = 3 m/s²
Answer:
8451.62109367671 Newtons
Explanation:
It is known that
So,
The force in Newtons is 8451.6210936765 Newtons
Use the formula:
E = (1/2) * m * v ^2
For unit consistency, make sure that:
E energy is in joules (J)
m mass is in kilograms (kg)
v velocity is in meters per second (m/s)
So, substituting to the equation:
14= (1/2) * (17) * v^2
By algebraic manipulation, we derive:
v = (2*14/17)^0.5
v = 1.2834 m/s
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