Explanation:
We have,
Length of a metal rod is 55 cm or 0.55 m
Change in length is 0.2 cm or 0.002 m
It is required to find the change in temperature of a metal rod. The coefficient of linear expansion is given by :
is the change in temperature
So, the change in temperature is 303.03 degrees Celsius.
Answer:
6.33 km/s
Explanation:
Given that :
A spaceprobe in outer space is flying with a constant speed = 1.530 km/s.
The probe has a payload = 1363.0 kg
which carries 3486.0 kg of rocket fuel.
Exhaust speed = 3.795 km/s
How fast will the spaceprobe travel when all the rocket fuel is used up?
As we know that the rate of change of spaceprobe momentum is equal to the thrust of the rocket.
Then;
where;
= exhaust speed
Taking the integral of the above expression; we have:
= 6.33 km/s
Answer:
1.84 m from the initial point (3.16 m from the ceiling)
Explanation:
According to the law of conservation of energy, the initial kinetic energy of the ball will be converted into gravitational potential energy at the point of maximum height.
Therefore, we can write:
where
m = 2 kg is the mass of the ball
v = 6 m/s is the initial speed of the ball
g = 9.8 m/s^2 is the acceleration due to gravity
is the change in height of the ball
Solving for ,
So, the ball raises 1.84 compared to its initial height.
Therefore:
- if we take the initial position of the ball as reference point, its maximum height is at 1.84 m
- if we take the ceiling as reference point, the maximum height of the ball will be
5 m - 1.84 m = 3.16 m from the ceiling