Explanation:
The given data is as follows.
mass = 0.20 kg
displacement = 2.6 cm
Kinetic energy = 1.4 J
Spring potential energy = 2.2 J
Now, we will calculate the total energy present present as follows.
Total energy = Kinetic energy + spring potential energy
= 1.4 J + 2.2 J
= 3.6 Joules
As maximum kinetic energy of the object will be equal to the total energy.
So, K.E = Total energy
= 3.6 J
Also, we know that
K.E = 
or, v = 
= 
= 
= 6 m/s
thus, we can conclude that maximum speed of the mass during its oscillation is 6 m/s.
Answer:
towards right
towards left
Explanation:
= Mass of skater = 56 kg
= Mass of ball = 5 kg
v = Final velocity of ball = 7 m/s
u = Initial velocity of ball = 0
s = Distance the ball moved in the hand of the skater = 1 m
Moving left is considered and moving right is considered positive.
From kinematic equations of motion we have

So, the ball will move towards right with a magnitude of acceleration
.
The force on the ball will be

The force on the ball is 
The reaction force on the skater will be equal to the force on the ball but will have opposite direction.

So, the skater will move towards left with a magnitude of acceleration 
A jug would hold more volume than a mug
Answer and Explanation:
We have given the expression
Dimension of 
Dimension of R which is gas constant
Dimension of temperature T 
And dimension of pressure 
Now combine dimension of

So the dimension of
and dimension P is same so there unit will also be same
From ideal gas equation we know that 

As the both P and
has same dimension so they are dimensionally constant
Keep the doors closed and make sure there isnt lots of open space between the door and the frame