A bus is designed to draw its power from a rotating flywheel that is brought up to 3000 rpm by an electric motor. The flywheel i
1 answer:
To tackle this problem, we will use the concept of rotational kinetic energy. After determining this energy, we will find the time based on the power definition, which indicates how energy changes over time. Let's begin with the formula for the kinetic energy of a rotating flywheel:
Where
I = moment of inertia
Angular velocity
In this scenario, we have:
Substituting the moment of inertia values for this object yields:
The average power expression is given by:
Hence, the correct conclusion is 620 seconds.
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Answer:
Statements 4, 6 & 7 are incorrect.
Explanation:
In any elastic collision, the overall momentum vector sum of the system remains zero.
In this scenario, an elastic collision occurs between the ball and a stationary wall. The ball's velocity will consistently revert after the impact, leading to a change in direction of momentum.
The initial momentum of the ball is represented as:
where:
m = mass of the ball
v = initial velocity of the body
post-collision for the elastic interaction:
- Here, the momentum changes solely in direction, thus contradicting statement 7.
- During the impact, both the ball and the wall exert forces on each other that are equal and opposite. The wall remains motionless, while the ball is influenced by the wall's reaction force, performing work on it, which contradicts statement 4.
- Given that this collision is elastic, the ball's form and dimensions do not alter.
- The previous points clearly indicate that not all provided statements hold true, thus violating statement 6.
Answer:
2.87 m
Explanation:
Given parameters:
Mass of the ball (m) = 60 g = 0.06 kg
Height of the tube (h) = 0.70 m
Force applied on the ball by compressed air (F) = 3.0 N
Initial velocity of the ball (u) = 0 m/s (Assumed)
Final velocity of the ball at the tube's exit (v) =?
Acceleration of the ball (a) =?
The ball's weight is derived from multiplying mass and gravity. Therefore,
Weight (W) =
Thus, the total force acting on the ball equals the net of upward force minus the weight.
Net force = Air force - Weight
According to Newton's second law, net force equals the mass multiplied by acceleration.
Acceleration (a) is calculated as 40.2 m/s².
Using the motion equation, we find:
Let’s denote the maximum height achieved as 'H'.
Next, we apply the principle of energy conservation from the pipe's peak to the maximum height.
A decrease in kinetic energy equals an increase in potential energy.
Substituting the values, we solve for 'H', yielding:
Hence, the ball ascends to a height of 2.87 m above the top of the tube.