(a) It's the force of (static) friction that keeps the car on the road and prevents it from skidding, and this friction is directed toward the center of the curve.
Recall that centripetal acceleration has a magnitude a of
a = v ² / R
where
v = tangential speed
R = radius of the curve
so that
a = (35 m/s)² / (215 m) ≈ 5.69767 m/s² ≈ 5.7 m/s²
Parallel to the road, the only force acting on the car is friction. So by Newton's second law, we have
∑ F = Fs = ma
where
Fs = magnitude of static friction
m = mass of the car
Then
Fs = (950 kg) (5.7 m/s²) ≈ 5412.79 N ≈ 5400 N
(b) Perpendicular to the road, the car is in equilbrium, so its weight and the normal force of the road on the car are equal in magnitude. By Newton's second law,
N - W = 0
where
N = magnitude of normal force
W = weight
so that
N = W = m g = (950 kg) (9.8 m/s²) = 9310 N
Friction is proportional to the normal force by a factor of µ, the coefficient of static friction:
Fs = µN
Assuming 35 m/s is the maximum speed the car can travel without skidding, we find
µ = Fs / N = (5400 N) / (9310 N) ≈ 0.581395 ≈ 0.58
a pool to the north end of the pool, a distance of 28 meters. What is the
swimmer's velocity?
A. 1.3 m/s south
B. 1.3 m/s north
C. 0.8 m/s south
D. 0.8 m/s north
The correct answer is B. 1.3 m/s north
Explanation:
Velocity is a factor that describes how fast or slow the motion of a body occurs and its direction. Moreover, this can be calculated by dividing the total displacement into the time of movement, and the final result is expressed in units such as meters per second followed by the direction, for example, 152 m/s south. The process to calculate the velocity of the swimmer is shown below.
This means the velocity of the swimmer is 1.27 m/s, which can be rounded as 1.3 m/s. Additionally, if the direction is considered it would be 1.3 m/s north because the swimmer went from the south of the pool to its north.
Answer:
the answer is B
Explanation:
confirmed
Answer:
sunny
Explanation:
took the test
Answer:
A.) Sunny
Explanation:
location of the pin?
Answer:
yes
Explanation:
it is in the body system
Answer:
it would show clearly because it is a metal piece in the body.
b. both the magnitude and the direction of the centripetal acceleration depend on the location of the point on the spoke.
c. The magnitude of the centripetal acceleration is smaller for points on the spoke closer to the hub than for points closer to the rim but the direction of the acceleration is the same at all points on this spoke.
d. The magnitude and direction of the centripetal acceleration is the same at all points on this spoke.
Answer:
Option (a).
Explanation:
Let the angular velocity is w.
The centripetal acceleration is given by
where, r is the distance between the axle and the spoke.
So, more is the distance more is the centripetal acceleration.
(a) For the points on the spoke closer to the hub than for points closer to the rim is larger distance, so the centripetal force is more.
The statement is true.
(b) The direction of centripetal acceleration is always towards the center, so the statement is false.
(c) It is false.
(d) It is false.
Option (a) is correct.
For every increase in mass, the gravitational force increases. Gravitational force is directly proportional to the mass of the object.
Gravitational force is the force by which an object attracts other objects into its center of mass. Earth attracts other objects gravitationally and that keep everyone stand to the ground.
Gravitational force directly proportional to the mass and inversely proportional to the distance between the objects. The expression relating the force and mass is written as:
g = G m/r²
Where G is the universal gravitational constant.
Therefore, as the mass of the object increase, the gravitational force exerted also increases. Similarly massive object experience more gravitation force by earth.
Find more on gravitational force:
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Answer:
Increases by the same amount.Increases by a factor of 4.
Explanation:
i took it
Answer:
weight is 3.50 x 10^5 N
force is 1.52 * 10^6 N
pressure is 1.25 * 10^5 Pa
Explanation:
given data
Given data
depth = 2.60 m
density = 915 kg/m3
length = 5.00 m
width = 3.00 m
to find out
weight of the olive oil, force of air pressure and the pressure exerted upward
solution
we know density = mass / volume
mass = density* width *length *depth
mass = (915)(3)(5)(2.60)
mass = 3.57 x 10^4 Kg
so weight = mg = 3.57 x 10^4 (9.81) = 3.50 x 10^5 N
weight is 3.50 x 10^5 N
and
we know force = pressure * area
area = 3 *5 = 15 m²
and we know atmospheric Pressure is about 1.01 * 10^5 Pa
so force = 1.01 * 10^5 (15) = 1.52 x 10^6 N
force is 1.52 * 10^6 N
and
we know Fup - Fdown = Weight
so
Fup = 1.52 * 10^6 + 3.50 * 10^5
Fup = 1.87 * 10^6 N
so pressure = Fup / area
pressure = 1.87 * 10^6 / 15
pressure is 1.25 * 10^5 Pa