Answer:
The maximum height could be 10.6 meters.
Explanation:
For this kind of exercise, we use the general principle for conservation of mechanical energy (E) that states:
(1)
That means the mechanical energy an object has on a point 2 should be equal to the mechanical energy on a point 1 plus the energy transformed into heat due friction denoted as Wf (It is negative because is lost). In our case point 1 is the point where the roller coaster begins and point 2 is at the second hill. Tola mechanical energy is the sum of potential gravitational energy and kinetic energy, so (1) is :
with K the kinetic energy and U the potential energy, remember potential energy is mgh and kinetic energy is
with m the mass, v the velocity and h the height, then:
Solving for h_2:


Answer:
Mass, m = 105.58 g
Explanation:
We have,
Heat required in aluminium to change the temperature from 68°C to 110°C. It is required to find the mass of aluminium.
Concept used : Specific heat capacity
Solution,
The heat required to raise the temperature is given by :

c is specific heat capacity, for Aluminium, c = 0.902 J/g-°C

So, the mass of aluminium is 105.58 grams.
In a collision, the second collision is when an unsecured driver strikes the inside of the vehicle. It is a collision that happens between an occupant of a vehicle and the vehicle he is riding during the impact. The first collision would be the collision of the vehicle and the other object.
A synonym for the slope of a line is the <em>rate of change</em>. However, one purpose for the slope of the line is the determine whether the linear relationship has a positive correlation or a negative correlation. Based off of this, your answer most likely is D.
Initial velocity u = 20 m/s
Initial horizontal velocity = 20 cos30° = 20 * 0.866 = 17.32 m/sec.
Initial vertical velocity = 20 sin30° = 20 * 1/2 = 10 m/sec.
time taken t = u/g = 10/10 =1 sec. ( approximating g to 10m/sec^2)
Maximum height h = ut + 1/2 * g * t^2
h = 10 *1 - 1/2 * 10 * 1* 1
h = 10 - 5 = 5 metres.
Total time in air = 2t = 2 seconds.