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
Answer:
T=1.384×10⁶seconds
Explanation:
Given data
p (Intensity)=1.30 kw/m²
E (Energy)=1.8×10⁹ J
A (Area)=1.00 m²
T (Time required)=?
Solution
E=PT ................eq(i)
where E is energy
P is radiation power
T is time
Radiating Power is given as
P=pA
Where p is intensity
A is Area
Put P=pA in eq(i) we get
E=pAT
T=E/pA
Answer:
The value is
Explanation:
From the question we are told that
The power rating of the stove is
The duration of its use everyday is
The rating of the light bulbs is
The number is
The power rating of the total bulb is
The duration of its use everyday is
The power rating of miscellaneous appliance
The duration of its use everyday is
The power rating of hot water
The duration of its use everyday is
Generally the total electrical energy used in 1 month is mathematically represented as
=>
=>
=>
Generally the monthly electricity bill is mathematically represented as
=>
Answer:
The first part can be solved via conservation of energy.
For the second part,
the free body diagram of the car should be as follows:
- weight in the downwards direction
- normal force of the track to the car in the downwards direction
The total force should be equal to the centripetal force by Newton's Second Law.
where because we are looking for the case where the car loses contact.
Now we know the minimum velocity that the car should have. Using the energy conservation found in the first part, we can calculate the minimum height.
Explanation:
The point that might confuse you in this question is the direction of the normal force at the top of the loop.
We usually use the normal force opposite to the weight. However, normal force is the force that the road exerts on us. Imagine that the car goes through the loop very very fast. Its tires will feel a great amount of normal force, if its velocity is quite high. By the same logic, if its velocity is too low, it might not feel a normal force at all, which means losing contact with the track.