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Delicious77 [7]
3 years ago
10

If the coefficient of static friction between your friend and the car seat is 0.500 and you keep driving at a constant speed of

21.0 m/sm/s , what is the maximum radius you could make your turn and still have your friend slide your way?
Physics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

90m

Explanation:

Let g = 9.8 m/s2. The friction is the product of normal force and its coefficient, and normal force is equal to gravity

F_f = \mu N = \mu mg

The acceleration caused by friction, according to Newton's 2nd law:

a_f = F_f / m = \mu g = 0.5 * 9.8 = 4.9 m/s^2

For the friend to slide over, then the centripetal acceleration must be equal to friction acceleration.

Since you are driving at a constant speed of 21 m/s, then your maximum radius of curvature can be calculated using the following formula:

a_c = a_f = v^2/r = 4.9

r = v^2/4.9 = 21^2/4.9 = 90 m

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A cross-country skier moves 36 meters eastward, then 44
ivanzaharov [21]

Answer:

Magnitude = 14 metres

Direction = eastward.

Explanation:

A cross-country skier moves 36 meters eastward, then 44meters westward, and finally 22 meters eastward.

Whats the Magnitude and Direction?

The magnitude and direction will be the displacement of the cross country skier.

Let the east ward be positive and the west ward be negative.

Since the skier moves 36 meters eastward, then 44meters westward, and finally 22 meters eastward. Then, that will be:

36 - 44 + 22 = 14

Since the answer is positive, the magnitude is 14 and the direction is east ward.

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3 years ago
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The radius of the aorta is about 1 cm and the blood flowing through it has a speed of about 30 cm/s. Calculate the average speed
puteri [66]

Answer:

The average speed of the blood in the capillaries is 0.047 cm/s.

Explanation:

Given;

radius of the aorta, r₁ = 1 cm

speed of blood, v₁ = 30 cm/s

Area of the aorta, A₁ = πr₁² = π(1)² = 3.142 cm²

Area of the capillaries, A₂ = 2000 cm²

let the average speed of the blood in the capillaries = v₂

Apply continuity equation to determine the average speed of the blood in the capillaries.

A₁v₁ = A₂v₂

v₂ = (A₁v₁) / (A₂)

v₂ = (3.142 x 30) / (2000)

v₂ = 0.047 cm/s

Therefore, the average speed of the blood in the capillaries is 0.047 cm/s.

4 0
2 years ago
A construction crane, like the one shown, has a power output of 1,500 watts. If it takes 200 seconds to lift the roof to the top
Likurg_2 [28]

Answer:7.5j

Explanation:

P=w/s

4 0
3 years ago
A ball is thrown at an angle of 38° to the horizontal. What happens to the
finlep [7]

Answer:

Vy = V0 sin 38       where Vy is the initial vertical velocity

The ball will accelerate downwards (until it lands)

Note the signs involved   if Vy is positive then g must be negative

The acceleration is constant until the ball lands

t (upwards) = (0 - Vy) / -g      = Vy / g      final velocity = 0

t(downwards = (-Vy - 0) / -g = Vy / g      final velocity = -Vy

time upwards = time downwards     (conservation laws)

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