Answer:
The maximum amount of mechanical energy converted to internal energy during the fall is 26.7 joules
Explanation:
Potential Energy (PE) = weight of baseball × height = 1.47N × 10m = 14.7Nm = 14.7 joules
Kinetic Energy (KE) = 12 joules
Maximum amount of mechanical energy converted to internal energy during the fall = PE + KE = 14.7 joules + 12 joules = 26.7 joules
The car would go from zero to 58.0 mph in 2.6 sec.
Since the force on the car is constant, therefore the acceleration of the car would also be constant.
Now for constant acceleration we can use the equation of motion
Using first equation of motion to calculate the acceleration of the car
v=u+at
29=0+a×1.30 ...... Eq. (1)
Again using the first equation of motion
58=0+a*t ....... Eq. (2)
Dividing eq. (2) with equation 1
t=2×1.3
t=2.6 sec
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The magnitude is
, the direction is into the page
Explanation:
From the question we are told that
The current is 
The radius of arc bc is 
The radius of arc da is 
The length of segment cd and ab is = 
The objective of the solution is to obtain the magnetic field
Generally magnetic due to the current flowing in the arc is mathematically represented as
Here I is the current
is the permeability of free space with a value of 
r is the distance
Considering Arc da

Where
is the angle the arc da makes with the center from the diagram its value is 
Now substituting values into formula for magnetic field for da
![B_{da} = \frac{4\p *10^{-7} * 12}{4 \pi (0.20)}[\frac{2 \pi}{3} ]](https://tex.z-dn.net/?f=B_%7Bda%7D%20%3D%20%5Cfrac%7B4%5Cp%20%2A10%5E%7B-7%7D%20%2A%2012%7D%7B4%20%5Cpi%20%280.20%29%7D%5B%5Cfrac%7B2%20%5Cpi%7D%7B3%7D%20%5D)
![= \frac{10^{-7} * 12}{0.20} * [\frac{2 \pi}{3} ]](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B10%5E%7B-7%7D%20%2A%2012%7D%7B0.20%7D%20%2A%20%5B%5Cfrac%7B2%20%5Cpi%7D%7B3%7D%20%5D)

Looking at the diagram to obtain the direction of the current and using right hand rule then we would obtain the the direction of magnetic field due to da is into the pages of the paper
Considering Arc bc

Substituting value
![B_{bc} = \frac{4 \pi *10^{-7} * 12}{4 \pi (0.30)} [\frac{2 \pi}{3} ]](https://tex.z-dn.net/?f=B_%7Bbc%7D%20%3D%20%5Cfrac%7B4%20%5Cpi%20%2A10%5E%7B-7%7D%20%2A%2012%7D%7B4%20%5Cpi%20%280.30%29%7D%20%5B%5Cfrac%7B2%20%5Cpi%7D%7B3%7D%20%5D)

Looking at the diagram to obtain the direction of the current and using right hand rule then we would obtain the the direction of magnetic field due to bc is out of the pages of the paper
Since the line joining P to segment bc and da makes angle = 0°
Then the net magnetic field would be



Since
then the direction of the net charge would be into the page
Answer:6.66 kPa
Explanation:
Given
Absolute pressure is 50 mm of Hg
atmospheric pressure=80 kPa
we know that
Absolute Pressure=Gauge pressure+vacuum Pressure
50 mm of Hg is equivalent to 6.66 kPa
Thus
Absolute Pressure is 6.66 kPa
or it can be said that it is 73.34 kPa vacuum pressure