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Alenkinab [10]
2 years ago
6

A car weighing 10.7 kN and traveling at 13.6 m/s without negative lift attempts to round an unbanked curve with a radius of 64.0

m. (a) What magnitude of the frictional force on the tires is required to keep the car on its circular path? (b) If the coefficient of static friction between the tires and the road is 0.39, is the attempt at taking the curve successful or not ("yes" or "no")?
Physics
1 answer:
erica [24]2 years ago
7 0

a) 3156 N

b) Yes

Explanation:

a)

When a car moves along a curved road, the frictional force between the tires and the road must provide the required centripetal force in order to keep the car in circular motion.

Therefore, the frictional force must be equal to the centripetal force:

F_f=m\frac{v^2}{r}

where:

m is the mass of the car

v is the speed of the car

r is the radius of the curve

In this problem, we have:

mg=10.7 kN = 10,700 N is the weight of the car, so the mass of the car is

m=\frac{mg}{g}=\frac{10700}{9.8}=1092 kg is the mass

r = 64.0 m is the radius of the curve

v = 13.6 m/s is the speed of the car

Therefore, the magnitude of the frictional force is

F_f=(1092)\frac{13.6^2}{64.0}=3156 N

b)

The magnitude of the force of static friction between the tires and the road is given by

F_f=\mu mg

where

\mu is the coefficient of friction

m is the mass of the car

g=9.8 m/s^2 is the acceleration due to gravity

In this problem,

\mu=0.39 is the coefficient of friction

m = 1092 kg is the mass

So the force of friction is

F_f=(0.39)(1092)(9.8)=4174 N

And we see that this force is larger than the centripetal force calculated in part a) and required to keep the car in circular motion: therefore, yes, the coefficient of friction is large enough to keep the car along the curve.

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At the outer edge of a rotating space habitat, 130 m from the center, the rotational acceleration is g. What is the rotational a
enyata [817]

Answer:

Explanation:

Given:

R1 = 130 m

R2 = 65 m

w^2R = g

Assume, g = 9.81 m/s^2

w^2 = 9.81/130

w = 0.275 rad/s

At R2 = 65 m

g = w^2R

= (0.275^2) × 65

= 4.905 m/s^2

In conclusion,

g × R = k

g1/R1 = g2/R2

g2 = (g1 × 65)/130

= g1 ×1/2

= g1/2

6 0
3 years ago
A long, straight wire lies in the plane of a circular coil with a radius of 0.018 m. the wire carries a current of 5.6 a and is
iris [78.8K]
(a) The net flux through the coil is zero.
In fact, the magnetic field generated by the wire forms concentric circles around the wire. The wire is placed along the diameter of the coil, so we can imagine as it divides the  coil into two emisphere. Therefore, the magnetic field of the wire is perpendicular to the plane of the coil, but the direction of the field is opposite in the two emispheres. Since the two emispheres have same area, then the magnetic fluxes in the two emispheres are equal but opposite in sign, and so they cancel out when summing them together to find the net flux.

(b) If the wire passes through the center of the coil but it is perpendicular to the plane of the wire, the net flux through the coil is still zero.
In fact, the magnetic field generated by the wire forms concentric lines around the wire, so it is parallel to the plane of the coil. But the flux is equal to
\Phi = BA \cos \theta
where \theta is the angle between the direction of the magnetic field and the perpendicular to the plane of the coil, so in this case \theta=90^{\circ} and so the cosine is zero, therefore the net flux is zero.
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3 years ago
How do intermolecular forces differ from intramolecular forces
kicyunya [14]

Answer:

Explanation:

Intramolecular forces is a strong bond that helps to bond atoms together while intermolecular forces are weak bond that are present between molecules.

8 0
3 years ago
If two negative charges decrease 1/2 times it's original charge then the force will become how many times stronger
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3 years ago
A 43.9-g piece of copper (CCu= 0.385 J/g°C) at 135.0°C is plunged into 254 g of water at 39.0°C. Assuming that no heat is lost t
Semmy [17]

Answer:

T = 40.501\,^{\textdegree}C

Explanation:

The interaction of the piece of copper and water means that the first one need to transfer heat in order to reach a thermal equilibrium with water. Then:

-Q_{out,Cu} = Q_{in,H_{2}O}

After a quick substitution, the expanded expression is:

-(43.9\,g)\cdot (0.385\,\frac{J}{g\cdot ^{\textdegree}C} )\cdot (T-135^{\textdegree}C) = (254\,g)\cdot (4.187\,\frac{J}{g\cdot ^{\textdegree}C} )\cdot (T-39\,^{\textdegree}C)

-16.902\,\frac{J}{^{\textdegree}C}\cdot (T-135^{\textdegree}C) = 1063.498\,\frac{J}{^{\textdegree}C} \cdot  (T-39^{\textdegree}C)

43758,192\,J = 1080.4\,\frac{J}{^{\textdegree}C}\cdot T

The final temperature of the system is:

T = 40.501\,^{\textdegree}C

8 0
2 years ago
Read 2 more answers
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