Answer:
The kinetic energy of the mass when the spring is stretched 5 cm is 2.55 J
Explanation:
Here we have
The mass on the spring = 0.4 kg
Spring stiffness = 200 N/m
Speed when compressed 10 cm = 3 m/s
E = 0.5·m·v² + 0.5·k·x² = 0.5·k·x²
Therefore
When x = 10 cm = 0.1 m, we have
E = 0.5·0.4·3² + 0.5·200·0.1² = 0.5·200·x² = 2.8
x² = 2.8/100 = 0.028,
x = 0.167 m
When the mass is at 5 cm we have
E = 0.5·0.4·v² + 0.5·200·0.05² = 2.8 J
Therefore, the kinetic energy = 0.5·0.4·v² = 2.8 - 0.25 = 2.55 J
The kinetic energy of the mass when the spring is stretched 5 cm = 2.55 J.
Here we go ~
Speed of the car is 75 miles per hour and it travels for 14 hours. so the distance travelled by it in the given period of time can be calculated using this formula ~
so, it can travel 1050 miles in 14 hours
Answer:
Velocity = 12 m/s
Explanation:
Given the following data;
Wavelength = 6 meters
Period = 0.5 seconds. This is due to the fact that the student is moving his hand up and down twice each second.
To find the velocity;
Velocity = wavelength * frequency
But, frequency = 1/period
Frequency = 1/0.5
Frequency = 2
Substituting the values into the velocity formula, we have;
Velocity = 6 * 2
Velocity = 12 m/s
Therefore, the velocity of the wave is 12 meters per seconds.
Answer:
Explanation:
Since the surface is frictionless therefore there will be no friction force on block but there will be weight of block which we can divide in to two components i.e. mgcosθ &mgsinθ which is perpendicular and parallel to the surface respectively.
In response to mgcosθ ramp will apply a normal force to the block which will be of equal magnitude to that of mgcosθ.
Therefore Ramp will apply a Force of mgcosθ on block where m is the mass of block.
I don't believe there is a specific amount of time that it takes to learn. Some people may learn faster than others. What matters is that you practice consistently and you will learn at a faster pace than if you don't practice often.