Referring to Example 6-15 (a) At what speed will the force of static friction exerted on the car by the road be equal to half the weight of the car? The mass of the car is m = 1200 kg, the radius of the corner is r = 45 m, and the coefficient of static friction between the tires and the road is μ s = 0.82. (b) Suppose that the mass of the car is now doubled, and that it moves with a speed that again makes the force of static friction equal to half the car’s weight. Is this new speed greater than, less than, or equal to the speed in part (a)?
Referring to Example 6-15 (a) At what speed will the force of static friction exerted on the car by the road be equal to half the weight of the car? The mass of the car is m = 1200 kg, the radius of the corner is r = 45 m, and the coefficient of static friction between the tires and the road is μ s = 0.82. (b) Suppose that the mass of the car is now doubled, and that it moves with a speed that again makes the force of static friction equal to half the car’s weight. Is this new speed greater than, less than, or equal to the speed in part (a)?
Referring to Example 6-15 (a) At what speed will the force of static friction exerted on the car by the road be equal to half the weight of the car? The mass of the car is m = 1200 kg, the radius of the corner is r = 45 m, and the coefficient of static friction between the tires and the road is μs = 0.82. (b) Suppose that the mass of the car is now doubled, and that it moves with a speed that again makes the force of static friction equal to half the car’s weight. Is this new speed greater than, less than, or equal to the speed in part (a)?
Definition Definition Force that opposes motion when the surface of one item rubs against the surface of another. The unit of force of friction is same as the unit of force.
SARET CRKS AUTOWAY
12. A stone is dropped from the top of a cliff. It is seen to hit the ground below
after 3.55 s. How high is the cliff?
13. A ball is dropped from rest at the top of a building that is 320 m tall. Assuming
no air resistance, what is the speed of the ball just before it strikes the ground?
14. Estimate (a) how long it took King Kong to fall straight down from the top
of the Empire State Building (280m high), and (b) his velocity just before
"landing".
Useful equations
For Constant Velocity:
V =>
D
X = V₁t + Xo
For Constant Acceleration:
Vr = V + at
X = Xo+Vot +
v=V+2a(X-Xo)
\prom = V +V
V velocity
t = time
D Distance
X = Final Position
Xo Initial Position
V = Final Velocity
Vo Initial Velocity
a = acceleration
For free fall
Yf
= Final Position
Yo Initial Position
g = 9.80
m
$2
For free fall:
V = V + gt
Y=Yo+Vo t +
+gt
V,² = V₁²+2g (Y-Yo)
V+Vo
Vprom=
2
6
Solve the problems
A 11 kg weight is attached to a spring with constant k = 99 N/m and subjected to an external force
F(t) =-704 sin(5t). The weight is initially displaced 4 meters above equilibrium and given an
upward velocity of 5 m/s. Find its displacement for t> 0.
y(t)
ון
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