kinetic energy is given as
KE = (0.5) m v²
given that : v = speed of the bottle in each case = 4 m/s
when m = 0.125 kg
KE = (0.5) m v² = (0.5) (0.125) (4)² = 1 J
when m = 0.250 kg
KE = (0.5) m v² = (0.5) (0.250) (4)² = 2 J
when m = 0.375 kg
KE = (0.5) m v² = (0.5) (0.375) (4)² = 3 J
when m = 0.0.500 kg
KE = (0.5) m v² = (0.5) (0.500) (4)² = 4 J
Answer:
Sugar
Explanation:
Nisha's list: Amol's list
Jute Vinegar
Wood Lemon juice
Rubber Cooking soda
Nisha's list is made up of things that can be derived from plants. From the list given, oil, sugar and cotton can also be obtained from plants.
Most plant materials are organic matter.
Amol's list is made up of things that can dissolve in water. Sugar and table salt can also be dissolved in water.
Water is able to dissolve these materials because they are polar compounds. One rule of solubility is that like dissolves like.
New list:
Nisha's list: Amol's list
Jute Vinegar
Wood Lemon juice
Rubber Cooking soda
Sugar Sugar
Only sugar from the list can be added to both lists. It can be obtained from plant and can also dissolve in water.
Answer:
The increase in the internal energy = 350 J
Explanation:
Given that
Q= 275 J
W= - 125 J
W' = 50 J
W(net)= -125 + 50 = -75 J
Sign -
1.Heat rejected by system - negative
2.Heat gain by system - Positive
3.Work done by system = Positive
4.Work done on the system-Negative
Lets take change in the internal energy =ΔU
We know that
Q= ΔU + W(net)
275 = ΔU -75
ΔU= 275 + 75 J
ΔU=350 J
The increase in the internal energy = 350 J
Answer:

Explanation:
As we know that the mass is revolving with constant angular speed in the circle of radius R
So we will have

now the position vector at a given time is

now the linear velocity is given as



Answer:
Spring constant, k = 24.1 N/m
Explanation:
Given that,
Weight of the object, W = 2.45 N
Time period of oscillation of simple harmonic motion, T = 0.64 s
To find,
Spring constant of the spring.
Solution,
In case of simple harmonic motion, the time period of oscillation is given by :

m is the mass of object


m = 0.25 kg


k = 24.09 N/m
or
k = 24.11 N/m
So, the spring constant of the spring is 24.1 N/m.