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:Remains same
Explanation:
Given
It is given that the depth is constant and we are only increasing the height of object submerged in the water
thus Force due to Pressure remains same as this force depends upon the depth of object with respect to free surface of Fluid.
Pressure at a depth h with density 
of fluid is given by
and 
Answer:
C Or D
Explanation:
The Child Should Get Checked On Before You Call The Police Thought,
Given that,
bug speed, v= 0.85 m/s
time, t =42 s
Final position of bug on meter stick was 27 cm
Starting position of bug on meter stick = ?
Since we know that,
s = vt
s= 0.85*42 = 35.7 cm
this is the distance covered by bug in the given time and velocity.
since the bug is moving in negative direction, starting point will be:
27.0 cm+ 35.7 cm = 62.7 cm
The bugs starting position on meter stick was 62.7 cm.
Answer:
1. Decrease
2. Decrease
3. Stay the same
Explanation:
1. The more predators there are that eat the prey(cricket/frog), the less prey there will be.
2. The more the pollution effects them negatively, the more the population will die off.
3. The decrease of food may kill the population, but the increase of food does not effect the birth rate of the population.
