Answer:
The centripetal acceleration is 30 m/s²
Explanation:
Given that,
Radius = 0.30 m
Acceleration = 2.0 rad/s²
Time = 5.0
We need to calculate the centripetal acceleration
Using formula of angular velocity

Where,
a = acceleration
t = time
Put the value into the formula


Using formula of centripetal acceleration



Hence, The centripetal acceleration is 30 m/s²
The relationship between the frequency (f) of an electromagnetic wave, the speed of the wave (which is the speed of light, c) and its wavelength

is given by

Since the wavelength of the radiation in the problem is

, by substituting numbers in the formula we can get the frequency:
<h2><em>ight hull up...................................</em></h2>
Answer:
Rotational inertia of the object is given as

Explanation:
As we know that the acceleration of the object on inclined plane is given as

now we know that velocity at any instant of time is given as

now we know that if the graph between velocity and time is given then the slope of the graph will be same as acceleration
so here we have

now from the graph slope of the graph is given as




now rotational inertia is given as



Given
Car 1
m1 = 1300 kg
v1 = 20 m/s
m2 = 900 kg
v2 = -15 m/s
(Negative sign shows that direction of car 2 is opposite to car 1)
Procedure
As per the conservation of linear momentum, "The total momentum of the system before the collision must be equal to the total momentum after the collision". And this applies to the perfectly inelastic collision as well. Then the expression is,

Thus, we can conclude that the speed and direction of the cars after the impact is 5.68 m/s towards the first car.