Answer:
Explanation:
it is acceleration because we know that
F=ma
a=F/m
a=300N/25 kg
a=12 m/s^2
Explanation:
Given that,
Object distance u= -110 cm
Image distance v= 55 cm
We need to calculate the focal length for diverging lens
Using formula of lens
![\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bf%7D%3D%5Cdfrac%7B1%7D%7Bv%7D-%5Cdfrac%7B1%7D%7Bu%7D)
Put the value into the formula
![\dfrac{1}{-f}=\dfrac{1}{55}-\dfrac{1}{-110}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B-f%7D%3D%5Cdfrac%7B1%7D%7B55%7D-%5Cdfrac%7B1%7D%7B-110%7D)
![\dfrac{1}{f}=-\dfrac{3}{110}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bf%7D%3D-%5Cdfrac%7B3%7D%7B110%7D)
The focal length of the diverging lens is 36.6 cm.
Now given a thin lens with same magnitude of focal length 36.6 cm is replaced.
Here, The object distance is again the same.
We need to calculate the image distance for converging lens
Using formula of lens
![\dfrac{1}{36.6}=\dfrac{1}{v}-\dfrac{1}{-110}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B36.6%7D%3D%5Cdfrac%7B1%7D%7Bv%7D-%5Cdfrac%7B1%7D%7B-110%7D)
Here, focal length is positive for converging lens
![\dfrac{1}{v}=\dfrac{1}{36.6}-\dfrac{1}{110}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7B36.6%7D-%5Cdfrac%7B1%7D%7B110%7D)
![\dfrac{1}{v}=\dfrac{367}{20130}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B367%7D%7B20130%7D)
![v=54.85\ cm](https://tex.z-dn.net/?f=v%3D54.85%5C%20cm)
The distance of the image is 54.85 cm from converging lens.
Hence, This is the required solution.
Answer:
true
Explanation:
Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. ... This is called diffuse reflection. Diffuse reflection is when light hits an object and reflects in lots of different directions.
Answer:
9 - 10N to the left
10 - There is no change on the object
Explanation:
Can I have brainliest answer pls?
Answer:
a) Since the height of the baseball at 99 m was 8.93 m and the fence at that distance is 3m tall, the hit was a home run.
b) The total distance traveled by the baseball was 108.7 m.
Explanation:
a) To know if the hit was a home run we need to calculate the height of the ball at 99 m:
![y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=%20y_%7Bf%7D%20%3D%20y_%7B0%7D%20%2B%20v_%7B0_%7By%7D%7Dt%20-%20%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D%20)
Where:
: is the final height =?
: is the initial height = 1 m
: is the initial vertical velocity = v₀sin(45)
v₀: is the initial velocity = 32.5 m/s
g: is the gravity = 9.81 m/s²
t: is the time
First, we need to find the time by using the following equation:
![t = \frac{x}{v_{0_{x}}} = \frac{99 m}{32.5 m/s*cos(45)} = 4.31 s](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7Bx%7D%7Bv_%7B0_%7Bx%7D%7D%7D%20%3D%20%5Cfrac%7B99%20m%7D%7B32.5%20m%2Fs%2Acos%2845%29%7D%20%3D%204.31%20s)
Now, the height is:
Since the height of the baseball at 99 m was 8.93 m and the fence at that distance is 3m tall, the hit was a home run.
b) To find the distance traveled by the baseball first we need to find the time of flight:
![y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=%20y_%7Bf%7D%20%3D%20y_%7B0%7D%20%2B%20v_%7B0_%7By%7D%7Dt%20-%20%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D%20)
![0 = 1 m + 32.5m/s*sin(45)t - \frac{1}{2}9.81 m/s^{2}t^{2}](https://tex.z-dn.net/?f=0%20%3D%201%20m%20%2B%2032.5m%2Fs%2Asin%2845%29t%20-%20%5Cfrac%7B1%7D%7B2%7D9.81%20m%2Fs%5E%7B2%7Dt%5E%7B2%7D)
![1 m + 32.5m/s*sin(45)t - \frac{1}{2}9.81 m/s^{2}t^{2} = 0](https://tex.z-dn.net/?f=1%20m%20%2B%2032.5m%2Fs%2Asin%2845%29t%20-%20%5Cfrac%7B1%7D%7B2%7D9.81%20m%2Fs%5E%7B2%7Dt%5E%7B2%7D%20%3D%200)
By solving the above quadratic equation we have:
t = 4.73 s
Finally, with that time we can find the distance traveled by the baseball:
![x = v_{0_{x}}*t = 32.5 m/s*cos(45)*4.73 s = 108.7 m](https://tex.z-dn.net/?f=%20x%20%3D%20v_%7B0_%7Bx%7D%7D%2At%20%3D%2032.5%20m%2Fs%2Acos%2845%29%2A4.73%20s%20%3D%20108.7%20m%20)
Hence, the total distance traveled by the baseball was 108.7 m.
I hope it helps you!