Answer:
2.0 J
Explanation:
Since the surface is frictionless, we can solve the problem by using the work-energy theorem, which states that the work done on the toy is equal to the kinetic energy gained by the toy:

where
W is the work done on the toy
is the kinetic energy gained by the toy
The work done can be calculated as the product between the force applied on the toy and its displacement, so:

Therefore, according to the work-energy theorem, the toy has gained 2.0 J of kinetic energy.
Answer:
The temperature change per compression stroke is 32.48°.
Explanation:
Given that,
Angular frequency = 150 rpm
Stroke = 2.00 mol
Initial temperature = 390 K
Supplied power = -7.9 kW
Rate of heat = -1.1 kW
We need to calculate the time for compressor
Using formula of compression



Put the value into the formula


We need to calculate the rate of internal energy
Using first law of thermodynamics


Put the value into the formula


We need to calculate the temperature change per compression stroke
Using formula of rate of internal energy


Put the value into the formula


Hence, The temperature change per compression stroke is 32.48°.
Answer:
The focal length of the appropriate corrective lens is 35.71 cm.
The power of the appropriate corrective lens is 0.028 D.
Explanation:
The expression for the lens formula is as follows;

Here, f is the focal length, u is the object distance and v is the image distance.
It is given in the problem that the given lens is corrective lens. Then, it will form an upright and virtual image at the near point of person's eye. The near point of a person's eye is 71.4 cm. To see objects clearly at a distance of 24.0 cm, the corrective lens is used.
Put v= -71.4 cm and u= 24.0 cm in the above expression.


f= 35.71 cm
Therefore, the focal length of the corrective lens is 35.71 cm.
The expression for the power of the lens is as follows;

Here, p is the power of the lens.
Put f= 35.71 cm.

p=0.028 D
Therefore, the power of the corrective lens is 0.028 D.