<h2>
Answer:</h2>
(c) 5m/s²
<h2>
Explanation:</h2>
Total acceleration (a) of a particle in a circular motion is the vector sum of the radial or centripetal acceleration (
) of the particle and the tangential acceleration (
) of the particle and its magnitude can be calculated as follows;
a = 
---------------------(i)
<em>But;</em>
= 
------------------------------(ii)
Where;
v = instantaneous velocity
r = radius of the circular path of motion
<em>From the question;</em>
v = 30m/s
r = 300m
(i) First let's calculate the centripetal acceleration by substituting the values above into equation (ii) as follows;
= 
= 
= 3m/s²
(ii) From the question, the velocity of the particle is increasing at a constant rate of 4m/s² and that is the tangential acceleration , of the particle. i.e;
= 4m/s²
(iii) Now substitute the values of and into equation (i) as follows;
a = 
a = 
a = 
a = 5m/s²
Therefore, the magnitude of its total acceleration a, is 5m/s²
A rock resting on the top of a hill has POTENTIAL energy, while a rock
rolling down a hill has KINETIC energy.
The
maximum altitude that the bullet will reach is the point at which its velocity
is zero. The equation that may be used in order to determine the altitude is,
<span> D = ((Vi)2 –
(Vf)2)/2g</span>
Where
Vi and Vf are the initial and final velocities, respectively. g is the
deceleration due to gravity.
Substituting
the known values,
<span> D
= ((700 m/s)2 – (0 m/s)2) / (2(-9.8 m/s2))</span>
<span> D = 25000 m</span>
Thus,
the maximum height is 25000 m.
For
the time needed to reach it, we use the equation,
<span> Vf
= Vi – (g)(t)</span>
Substituting,
<span> 0 = 700 m/s
– (-9.8 m/s2)(t)</span>
The
value of t is equal to 71.43 s.
<span> </span>
Answer:
99.95%
Explanation:
A double pulsar system named PSR J0737-3039A/B in Puppis constellation was discovered in the year 2003. Pulsars are second most densest object in the universe after black holes and they emit radio waves at regular intervals. This pair presented a great and natural setup to test the Theory of General Relativity presented by Einstein in 1915. In this theory Einstein had presented a set of equations on how the space-time fabric will be curved because of the very dense objects such as Neutron stars. It also predicted how the gravitational waves are created because of stars orbiting each other.
A team of astrophysicists led by Michael Kramer, conducted a study on how these gravitational waves will impact the time in which the radio waves emitted by pulsars will reach Earth. The result of the study proved the theory of General Relativity to be accurate up to 99.95%.
Answer:
cold air is more dense than warm water so it sinks to the bottom of the pool
