Answer:
The speed after being pulled is 2.4123m/s
Explanation:
The work realize by the tension and the friction is equal to the change in the kinetic energy, so:
(1)
Where:
Because the work made by any force is equal to the multiplication of the force, the displacement and the cosine of the angle between them.
Additionally, the kinetic energy is equal to 
, so if the initial velocity 
is equal to zero, the initial kinetic energy 
is equal to zero.
Then, replacing the values on the equation and solving for 
, we get:
So, the speed after being pulled 3.2m is 2.4123 m/s
The answer is weak.
The interaction of nature that will depend on the distance through the
way it acts and involved in beta decay is the weak interaction or the weak
force. This interaction is the responsible for radioactive decay which also
plays a significant role in nuclear fission.
For astronomical objects, the time period can be calculated using:
T² = (4π²a³)/GM
where T is time in Earth years, a is distance in Astronomical units, M is solar mass (1 for the sun)
Thus,
T² = a³
a = ∛(29.46²)
a = 0.67 AU
1 AU = 1.496 × 10⁸ Km
0.67 * 1.496 × 10⁸ Km
= 1.43 × 10⁹ Km
Wavelength = (speed) / (frequency)
= (3 x 10⁸ m/s) / (1 x 10⁸ /s) = 3 meters
Answer:
A
B
C
D
Explanation:
Considering the first question
From the question we are told that
The spring constant is 
The potential energy is 
Generally the potential energy stored in spring is mathematically represented as 
=> 
=> 
=>
Considering the second question
From the question we are told that
The mass of the dart is m = 0.050 kg
Generally from the law of energy conservation
=> 
=>
Considering the third question
The height at which the dart was fired horizontally is 
Generally from the law of energy conservation
Here KE is kinetic energy of the dart which is mathematical represented as
=> 
=> 
=>
Considering the fourth question
Generally the total time of flight of the dart is mathematically represented as
=> 
=> 
Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as
=> 
=>
