Answer:
Explanation:
The friction created between the tire and the ground generates thermal energy as force is applied during skidding.
The mentioned force relates to half the impact on the rear tire, resulting in a calculated normal force of,
The work executed is determined by the frictional force and the distance covered,
Where
The thermal energy produced from the work done is,
Answer:
The canyon measures 50.176 meters deep.
Explanation:
The student drops a rock from the rim of the canyon, requiring us to ascertain the depth of the canyon—name how far the ground is below the cliff.
The data we have:
Time = t = 3.2 s
Initial velocity = = 0 m/s
Gravitational acceleration = g = 9.8 m/s²
Height = h =?
According to the second equation of motion
Given the initial velocity is zero, the right-hand side of the equation simplifies to zero
h = (0.5)(9.8)(3.2)²
h = 50.176 m
This calculation indicates that the rock dropped a distance of 50.176 meters to reach the canyon's base. Thus, the canyon depth is 50.176 meters.Answer:
The distance measures
Explanation:
According to the problem statement,
The box's width is
There is a gap of length
The first spring's natural length is
The spring constant for the first spring is
The second spring has a natural length of
The second spring's spring constant is
We denote the distance from the center of the box to the left edge as x.
At equilibrium,
The force exerted by the first spring is
while the force from the second spring is
Thus, at equilibrium,
Substituting values gives us
which leads to
resulting in
and finally,
this simplifies to
Answer:
The y-component of the position vector for the car is 670m/s.
The x-component of the acceleration vector is -3 and the y-component equals 40.
Explanation:
The car's displacement vector corresponding to the velocity
is derived from the integration of the velocity.
By integrating , we obtain the displacement vector
:
Assuming the vehicle's starting position is
the displacement at time would then be
At the moment , we find
The y-component of the position vector for the car is 670m/s.
The acceleration vector can be calculated as the derivative of the velocity vector:
At , it becomes
The x-component of the acceleration vector is -3 and the y-component is 40.
Complete Question
Standing up quickly from a lying position may lead to dizziness or faintness. This occurs because the blood vessels cannot dilate sufficiently to adjust for the sudden drop in blood pressure. If your brain is 0.4 m above your heart when you are upright, what is the difference in blood pressure between these two points? The density of blood plasma is approximately 1025 kg/m3, and the typical systolic blood pressure at the heart is 120 mm of Hg (which is equal to 0.16 atm, 16 kP, or 1.6 × 104 N/m2).
Answer:
The pressure at the brain is
Explanation:
It is generally represented mathematically as
By substituting for
(the density),
for g (acceleration due to gravity), and 0.4m for h (height)
We can express the pressure difference between the brain and the heart as
The blood pressure at the heart is given as
Now, the calculated pressure at the brain becomes