A level curve on a country road has a radius of 150 m. What is the maximum speed at which this curve can be safely negotiated on
1 answer:
The maximum speed of the car is 24.3 m/s
Explanation:
For a car moving along an unbanked turn, the frictional force provides the centripetal force required to keep the car in circular motion. Therefore, we can write:
where the term on the left is the frictional force while the term on the right is the centripetal force, and where
is the coefficient of friction between the tires and the road
m is the mass of the car
is the acceleration of gravity
v is the speed of the car
r = 150 m is the radius of the curve
Solving for v, we find the (maximum) speed at which the car can move along the turn:
For speed larger than this value, the frictional force is no longer enough to keep the car along the turn.
Learn more about circular motion:
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Answer:
P = 251,916.667 W
Cost = 2,267.25 cents
Explanation:
To solve this question we will use the Work Energy Theorem, which is
Where
= Change in Potential Energy
= Change in Kinetic Energy
Change in Potential Energy
Where
= Initial Potential Energy
= Final Potential Energy
= Mass of System = 10,000 kg
= Acceleration due to gravity = 9.81 m/s
= Initial Height = 0
= Final Height = 30 m
Inputting the values we get the answer for
Change in Kinetic Energy
Where
= Initial Kinetic Energy
= Final Kinetic Energy
= Mass of System = 10,000 kg
= Acceleration due to gravity = 9.81 m/s
= Initial Velocity = 0 m/2
= Final Velocity = 4 m/s
Inputting the values we get the answer for
Total Work
Inputting the values
a) Finding the useful Power Output
Where
= Power Output
= Work Done = 3,023,000J
= Time = 12s
Inputting the values
P = 251,916.667 W
b) Finding the Total Cost
Cost = $0.0900 x P/1000
Cost = $0.0900 x (251,916.667/1000)
Cost = $22.67 or 2,267.25 cents
Answer:
The momentum of the two-block system is 18 kg-m/s
Explanation:
It is given that,
Mass of block A,
Mass of block B,
Velocity of block A,
Velocity of block B, (it is moving in opposite direction)
We need to find the momentum of two block system. It is given by the product of mass and velocity for both blocks i.e.
p = -18 kg-m/s
So, the momentum of two block system is 18 kg-m/s. Hence, this is the required solution.
Answer:
<h2>2 kg</h2>Explanation:
The mass of the object can be found by using the formula
f is the force
a is the acceleration
From the question we have
We have the final answer as
<h3>2 kg</h3>Hope this helps you