Answer:
3.13cm/s²
Explanation:
Given
Initial velocity u = 3.5cm/s
Final velocity v = 8.2cm/s
Time t = 1.5secs
Required
Acceleration of the cart a
To get that, we will use the equation of motion
v = u+at
Substitute the given parameters
8.2 = 3.5+1.5a
1.5a = 8.2-3.5
1.5a = 4.7
a = 4.7/1.5
a = 3.13cm/s²
Hence the acceleration to the cart is 3.13cm/s²
Lithium has five isotopes, and each will have different notation. Lithium-7 is commonly used in salt and nuclear reactors. .ZAX , where X is the atomic symbol for the element, here Li for lithium, Z is the mass number, or the total number of protons and neutrons, and A is the atomic number, or the number of protons
Their momentum is the same.
momentum of dolphin=50kg*16.4m/s=820kg*m/s
momentum of elephant=4100kg*0.20m/s=820kg*m/s
Answer:
Explanation:
Distance = 50 m
1. To find the average speed, first start the stop watch as the sprinter starts running and then stop it when he reaches the finish line.
Now note the time taken by the sprinter to run for 50 m.
The average speed of the sprinter is defined as the ratio of total distance covered to the total time taken.
Average speed = total distance / total time
2. To find the instantaneous speed, check the seed of the sprinter as he is at the finish line.
Explanation:
1. The kinetic energy of any object is calculated as :
...........(1)
Dimensional formula of energy, ![[E]=[ML^2T^{-2}]](https://tex.z-dn.net/?f=%5BE%5D%3D%5BML%5E2T%5E%7B-2%7D%5D)
Dimensional formula of mass is ![[M]](https://tex.z-dn.net/?f=%5BM%5D)
Dimensional formula of velocity, ![[v]=[LT^{-1}]](https://tex.z-dn.net/?f=%5Bv%5D%3D%5BLT%5E%7B-1%7D%5D)
![[ML^2T^{-2}]=\dfrac{1}{2}[M]([LT^{-1}])^2](https://tex.z-dn.net/?f=%5BML%5E2T%5E%7B-2%7D%5D%3D%5Cdfrac%7B1%7D%7B2%7D%5BM%5D%28%5BLT%5E%7B-1%7D%5D%29%5E2)
So, ![[ML^2T^{-2}]=[ML^2T^{-2}]](https://tex.z-dn.net/?f=%5BML%5E2T%5E%7B-2%7D%5D%3D%5BML%5E2T%5E%7B-2%7D%5D)
LHS = RHS
2. The potential energy is given by :

Dimensional formula of mass is ![[M]](https://tex.z-dn.net/?f=%5BM%5D)
Dimensional formula of g is ![[LT^{-2}]](https://tex.z-dn.net/?f=%5BLT%5E%7B-2%7D%5D)
Dimensional formula of height is ![[L]](https://tex.z-dn.net/?f=%5BL%5D)
Dimensional formula of energy, ![[E]=[ML^2T^{-2}]](https://tex.z-dn.net/?f=%5BE%5D%3D%5BML%5E2T%5E%7B-2%7D%5D)
So, ![E=[M][LT^{-2}][L]](https://tex.z-dn.net/?f=E%3D%5BM%5D%5BLT%5E%7B-2%7D%5D%5BL%5D)
So, LHS = RHS
Hence, this is the required solution.