Answer:
The transnational kinetic energy of the yo-yo is 0.083 J.
Explanation:
Given that,
Force=0.24 N
Distance in up= 0.17 m
Distance in down = 0.26 m
Mass of yo-yo = 0.057 kg
Initial speed = 2.4 m/s
Suppose we find the increase in the transnational kinetic energy of the yo-yo
The transnational kinetic energy is equal to the change in potential energy.
We need to calculate the transnational kinetic energy of the yo-yo
Using conservation of energy

Where, F = force
h = height
m = mass of yo-yo
Put the value into the formula


Hence, The transnational kinetic energy of the yo-yo is 0.083 J.
Answer:
3.6m
Explanation:
if you are at a building that is 46m above the ground, and the professor is 1.80m, the egg must fall:
46m - 1.80m = 44.2m
the egg must fall for 44.2m to land on the head of the professor.
Now, how many time this takes?
we have to use the following free fall equation:

where
is the height,
is the initial velocity, in this case
.
is the acceleration of gravity:
and
is time, thus:

clearing for time:

we know that the egg has to fall for 44.2m, so
, and
, so we the time is:

Finally, if the professor has a speed of
, it has to be at a distance:

and t=3.002s:

so the answer is the professor has to be 3.6m far from the building when you release the egg
Answer:

Explanation:
To determine the final temperature of the sample, we use the specific heat formular as follows:

Finally, the temperature of the aluminium sample has raised 18 K.
Answer:
The speed of the two cars after coupling is 0.46 m/s.
Explanation:
It is given that,
Mass of car 1, m₁ = 15,000 kg
Mass of car 2, m₂ = 50,000 kg
Speed of car 1, u₁ = 2 m/s
Initial speed of car 2, u₂ = 0
Let V is the speed of the two cars after coupling. It is the case of inelastic collision. Applying the conservation of momentum as :


V = 0.46 m/s
So, the speed of the two cars after coupling is 0.46 m/s. Hence, this is the required solution.