Answer:
6.15 s
Explanation:
The period of a simple pendulum is given by the equation

where
L is the length of the pendulum
g is the acceleration of gravity
For the pendulum in this problem,
L = 1.5 m (length)
(acceleration due to gravity on Earth)
Therefore, its period is

And therefore, the time taken for the pendulum to complete 2.5 oscillations is equal to 2.5 times the period:

Answer:
Final speed of security car v = 65 m/s
Explanation:
Given:
Speed of race car u1 = 35m/s
Speed of security car u2 = 5 m/s
Acceleration = 5 m/s²
Find:
Final speed of security car v
Computation:
Assume, they chase S meter
So
S = u1t + [1/2]at²
S = 35t
S = u2t + [1/2]at²
so,
35t = 5t + [1/2](5)t²
t = 12 s
So
v = u + at
v = 5 + 5(12)
Final speed of security car v = 65 m/s
Answer:
36 m/s
Explanation:
The speed of wave is a product of wavelength and frequency, expressed as s=fw where f is frequency in Hz and w is wavelength. Wavelength is the distance between successive crests while frequency is also the reciprocal of time. Amplitude has no effect on the velocity of waves. Substituting frequency with 12 Hz and wavelength with 3 m then the speed will be
S=3*12=36 m/s
Therefore, the speed is 36 m/s
While no one knows why, astronomers do now know that the solar nebula has collapsed. Scientists believed that our Solar system was made when gas and dust cloud was being disturbed by an explosion of supernova. Due to pressure, this cloud collapsed.
When the magnet is near, the compass turns and points to it. When the magnet is moved away, the compass turns back to point north and south.