Answer:
The wood block reaches a height of 4.249 meters above its starting point.
Explanation:
The block represents a non-conservative system, since friction between wood block and the ramp is dissipating energy. The final height that block can reach is determined by Principle of Energy Conservation and Work-Energy Theorem. Let suppose that initial height has a value of zero and please notice that maximum height reached by the block is when its speed is zero.
(1)
Where:
- Maximum height of the wood block, in meters.
- Initial speed of the block, in meters per second.
- Kinetic coefficient of friction, no unit.
- Gravitational acceleration, in meters per square second.
- Mass, in kilograms.
- Distance travelled by the wood block along the wooden ramp, in meters.
- Inclination of the wooden ramp, in sexagesimal degrees.
If we know that , and , then the height reached by the block above its starting point is:
The wood block reaches a height of 4.249 meters above its starting point.
To solve this problem we will make a graph that allows us to understand the components acting on the body. In this way we will have the centripetal Force and the Force by gravity generating a total component. If we take both forces and get the trigonometric ratio of the tangent we would have the angle is,
Dividing both.
Therefore the angle that should the curve be banked is 15.608°
Answer:
Magnification, m = 3
Explanation:
It is given that,
Focal length of the lens, f = 15 cm
Object distance, u = -10 cm
Lens formula :
v is image distance
Magnification,
So, the magnification of the lens is 3.
Explanation:
It is given that,
Velocity of the particle is given by:
We need to find the magnitude of its acceleration at t = 3 seconds. We know that, acceleration a is given by :
At t = 3 seconds
So, the magnitude of a is given by :
So, the magnitude of acceleration is 13.7 m/s². Hence, this is the required solution.