It is class 12th physics questions can anyone help me
1 answer:
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Answer:
about 19.6° and 73.2°
Explanation:
The equation for ballistic motion in Cartesian coordinates for some launch angle α can be written ...
y = -4.9(x/s·sec(α))² +x·tan(α)
where s is the launch speed in meters per second.
We want y=2.44 for x=50, so this resolves to a quadratic equation in tan(α):
-13.6111·tan(α)² +50·tan(α) -16.0511 = 0
This has solutions ...
tan(α) = 0.355408 or 3.31806
The corresponding angles are ...
α = 19.5656° or 73.2282°
The elevation angle must lie between 19.6° and 73.2° for the ball to score a goal.
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I find it convenient to use a graphing calculator to find solutions for problems of this sort. In the attachment, we have used x as the angle in degrees, and written the function so that x-intercepts are the solutions.
Answer: 62.22 meters
Explanation:
Two solve this, we need to know first how the Sled interact with the snow. While the Sled runs over the snow, the snow opposes to it movement, this is call friction. Frictions creates is a force that goes against any movement and is caused by the interaction between surfaces.
Friction can be calculated using the following equation:
Friction's Force (Ff) = m*N
Where m is the Frictions coficient and N is call Normal, which is a force created by the contact between any weight and a surface. Because the sled is and the surface are totally horizontal, the Normal is equal to the Sled's Weight.
So for this case, we can calculate the Friction's Force:
Ff = 0.045 * 735 N
Ff = 33,07 N
This force will cause a negative acceleration the Sled causing it to slow down and finally stop. To know this accelaration we can use the following equation:
Force (F) = Mass (m) * Accelaration (a)
Looking for the accelaration:
Acceleration (a) = F / M
As a side note:
Mass (M) = F / a (1)
Where we know that F is equal to our Friction Force (Ff) and the Mass for the girl and the Sled can be obtained using the previous equation (1) like this
Girl and sled Mass (M) = 735 N / (9.81 m/s)
M = 74,92 Kg
This is posible, because the Girl and The Sled are aplying a Force on the ground equal to 735 N. The accelartion for their mass is the gravity
Now, with the mass we can found the Accelaration caused by friction:
Acceleration (a) = Ff / M
Accelaration (a) = 33,07 N / 74,92 Kg
a = 0,44
To know how far the Sled travel we can use the following equation:
Where Vf is the Final Velocity, which is when the sled finally stops (Vf = 0), Vo is the Initial Speed of the Sled equal to 7.4 m/s and a is equal to the negative accelaration that causes the friction.
Searching for x:
The girls will run over the snow 62.22 meter until finally stopping