Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the
1 answer:
Answer:
a) Δx = 11.6 m
b) t = 3.9 s
Explanation:
a)
- Since the snowmobile is moving at constant speed, and the drive force is 195 N, this means that thereis another force equal and opposite acting on it, according to Newton's 2nd Law, due to there is no acceleration present in the horizontal direction .
- This force is just the force of kinetic friction, and is equal to -195 N (assuming the positive direction as the direction of the movement).
- Once the drive force is shut off, the only force acting on the snowmobile remains the friction force.
- According Newton's 2nd Law, this force is causing a negative acceleration (actually slowing down the snowmobile) that can be found as follows:
- Assuming the friction force keeps constant, we can use the following kinematic equation in order to find the distance traveled under this acceleration before coming to an stop, as follows:
- Taking into account that vf=0, replacing by the given (v₀) and a from (1), we can solve for Δx, as follows:
b)
- We can find the time needed to come to an stop, applying the definition of acceleration, as follows:
- Since we have already said that the snowmobile comes to an stop, this means that vf = 0.
- Replacing a and v₀ as we did in (3), we can solve for Δt as follows:
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Answer:
23376 days
Explanation:
The problem can be solved using Kepler's third law of planetary motion which states that the square of the period T of a planet round the sun is directly proportional to the cube of its mean distance R from the sun.
where k is a constant.
From equation (1) we can deduce that the ratio of the square of the period of a planet to the cube of its mean distance from the sun is a constant.
Let the orbital period of the earth be and its mean distance of from the sun be
.
Also let the orbital period of the planet be and its mean distance from the sun be
.
Equation (2) therefore implies the following;
We make the period of the planet the subject of formula as follows;
But recall that from the problem stated, the mean distance of the planet from the sun is 16 times that of the earth, so therefore
Substituting equation (5) into (4), we obtain the following;
cancels out and we are left with the following;
Recall that the orbital period of the earth is about 365.25 days, hence;
Explanation:
In the parallel combination, the equivalent resistance is given by :
4. When three 150 ohms resistors are connected in parallel, the equivalent is given by :
5. Three resistors of 20 ohms, 40 ohms and 100 ohms are connected in parallel, So,
Hence, this is the required solution.