<span>Finite angular displacements are not vector quantities, the reason being that they do not obey the law of vector addition. This law asserts that the order in which vectors are added does not affect their sum.
However finite angles under addition tend towards commutivity as the angles become very small. Infinitesimal angles do commute under addition, making it possible to treat them as vectors.</span>
When an object's atoms move faster, its thermal energy increases and the object becomes warmer.
Answer:Falling objects form an interesting class of motion problems. For example, we can estimate the depth of a vertical mine shaft by dropping a rock into it and listening for the rock to hit the bottom. By applying the kinematics developed so far to falling objects, we can examine some interesting situations and learn much about gravity in the process.
Explanation:
<h2>
Component of the velocity of the ball in the horizontal direction just before the ball hits the ground = 7.31 m/s</h2>
Explanation:
In horizontal direction there is acceleration or deceleration for a ball tossed upward at an initial angle of 43° off the ground.
So the horizontal component of velocity always remains the same.
Horizontal component of velocity is the cosine component of velocity.
Initial velocity, u = 10 m/s
Angle, θ = 43°
Horizontal component of velocity = u cosθ
Horizontal component of velocity = 10 cos43
Horizontal component of velocity = 7.31 m/s
Since the horizontal velocity is unaffected, we have
Component of the velocity of the ball in the horizontal direction just before the ball hits the ground = 7.31 m/s
Answer:
Explanation:
velocity of ball in train reference = v2
velocity of ball in earth reference = v1+v2
(a)
Kinetic energy is given by 
where m and v are the mass and velocity of object respectively.
Change in kinetic energy is given by subtracting initial kinetic energy from the final kinetic energy. In this case
Initial kinetic energy= 
Final kinetic energy= 
Change in kinetic energy=
(b)
Change in velocity in train reference will be
Initial kinetic energy=
Final kinetic energy= 
Change in kinetic energy=
(c)
Work done, W = change in kinetic energy=
(d)
Work done, W = change in kinetic energy=
