
v = final velocity
u = initial velocity
t = time taken
the acceleration of the cyclist is

approximately 3.33 m/s^2
the acceleration of the car is

5.0 m/s^2

Answer:
The x-component of
is 56.148 newtons.
Explanation:
From 1st and 2nd Newton's Law we know that a system is at rest when net acceleration is zero. Then, the vectorial sum of the three forces must be equal to zero. That is:
(1)
Where:
,
,
- External forces exerted on the ring, measured in newtons.
- Vector zero, measured in newtons.
If we know that
,
,
and
, then we construct the following system of linear equations:
(2)
(3)
The solution of this system is:
, 
The x-component of
is 56.148 newtons.
Answer:
(a) 62.5 m
(b) 7.14 s
Explanation:
initial speed, u = 35 m/s
g = 9.8 m/s^2
(a) Let the rocket raises upto height h and at maximum height the speed is zero.
Use third equation of motion


h = 62.5 m
Thus, the rocket goes upto a height of 62.5 m.
(b) Let the rocket takes time t to reach to maximum height.
By use of first equation of motion
v = u + at
0 = 35 - 9.8 t
t = 3.57 s
The total time spent by the rocket in air = 2 t = 2 x 3.57 = 7.14 second.
Answer:

Explanation:
The time lag between the arrival of transverse waves and the arrival of the longitudinal waves is defined as:

Here d is the distance at which the earthquake take place and
is the velocity of the transverse waves and longitudinal waves respectively. Solving for d:

Answer:
Explanation:
We are given the following formula:
(1)
Where:
is the amount of heat
is the mass of water
is the specific heat of water
is the variation in temperature, which in this case is
Rewriting equation (1) with the known values at the right side, we will prove the result is
:
(2)
This is the result