The potential energy of an object is defined as the energy it harnesses as a result of the downwards pull of gravity. The acceleration due to gravity is equivalent to 9.8 m/s^2. Potential energy can be calculated using the formula: PE = mgz
where:
m = mass
g = acceleration due to gravity
z = height
Therefore, for this problem, the PE = 70(9.8)(8) = 5488 Joules
Answer:
A= 148.92 m/s²
Explanation:
Given that
U(x,y) = (6.00 )x² - (3.75 )y ³
m= 0.04 kg
Now force in the x-direction
Fx= - dU/dx
U(x,y) = (6.00 )x² - (3.75 )y ³
dU/dx= 12 x
When x=0.4 m
dU/dx= 12 x 0.4 = 4.8
So we can say that
Fx= - 4.8 N
From Newtons law
F= m a
- 4.8 = 0.04 x a
a = -120 m/s²
Acceleration in x direction ,a = -120 m/s²
In y -direction
F= - dU/dy
U(x,y) = (6.00 )x² - (3.75 )y ³
dU/dy = 0 - 3.75 x 3 y²
When y = 0.56 m
dU/dy = - 3.75 x 3 x 0.56 x 0.56
dU/dy = - 3.52
So we can say that force in y -direction
F= 3.52 N
F= m a'
3.52 = 0.04 x a'
a'=88.2 m/s²
acceleration in y direction is 88.2 m/s²
The resultant acceleration


A= 148.92 m/s²
Answer:
8.76762 m
Explanation:
T = Time period = 5.94 seconds
g = Acceleration due to gravity = 9.81 m/s²
L = Length of pendulum = Height of tower
Time period is given by

The height of the tower is 8.76762 m
The interaction that does not take place due to field forces is the interaction between a pen and paper while you write.
<h3>What is the gravity law?</h3>
Gravity law is a well-established scientific theory that states objects can attract each other according to their masses.
This theory (gravity law) was developed by Sir Isaac Newton to explain the movement of objects.
In conclusion, the interaction that does not take place due to field forces is the interaction between a pen and paper while you write.
Learn more about gravity here:
brainly.com/question/1511994
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