Answer:
14523.55J
Explanation:
The work exerted by the jogger against gravitational forces is represented by the following equation:
where m signifies mass, g represents gravitational acceleration taken as 
, and h denotes the elevation of the hill.
Given that the hill measures 132m in length and is inclined at an angle of 12 degrees to the horizontal, the height can be calculated as follows;
Substitute this value into equation (1) along with all other required parameters to arrive at the result;
The average velocity of the sled can be expressed with the formula vavg = s/t. Hello! The calculation for average velocity involves determining the distance traveled over time. Thus, vavg = Δx/Δt, where vavg represents average velocity, Δx is the distance traversed, and Δt is the duration of time taken. We know both the distance (s) and the time (t) required for the sled to cover that distance, which allows us to compute the average velocity using the formula vavg = s/t. Wishing you a great day!
By breaking down vector b into its x and y components, we form a right triangle where bx lies along the x-axis, by along the y-axis, and b represents the hypotenuse.
The x component bx equals the hypotenuse multiplied by the cosine of the angle between b and the x-axis, which is shown in
:
To determine the speed
of the combined blocks m1 and m2 post-collision, we will apply the principle of momentum conservation. Initially, only block 1 possesses momentum since block 2 is at rest, which can be expressed as:
After the collision, both blocks merge and are effectively one mass
moving at a speed
:
Using momentum conservation:
We can rewrite this as:
This leads to:
As the blocks hit the rough terrain, they start to slow down due to friction
. The friction does work to bring the two blocks to a stop over a distance d:
where d represents the distance traveled before they come to a halt.
The total kinetic energy of the blocks just before they hit the rough surface is:
Once the blocks cease moving, the kinetic energy is lost as their speed drops to zero; according to the work-energy principle, the loss in kinetic energy equates to the work done by friction:
From this equation, we can derive the coefficient of kinetic friction:
Periscope utilizes 45-45-90 prisms that employ total internal reflection on the sides positioned next to the 45° angles. When light enters the water, the water acts as a lens, and the viewable object appears further away than it typically would.
