A motorcycle is traveling along a highway at 26 m/s. How far does the motorcycle travel in 15 s?

Iteru [2.4K]

Fitness is more accurately described as habit, so it is achieved only through A. frequency<span>. In order to achieve results in fitness, one must be consistent with exercise and nutrition. Not only is this the means to achieving fitness, this is also the way that fitness is maintained. </span>

8 0

3 years ago

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The coefficients of friction between the load and the flatbed trailershown are μs = 0.40 and μk = 0.30. Knowing that the speed o

SOVA2 [1]

Answer:

50.97 m

Explanation:

m = Mass of truck

$\mu_s$ = Coefficient of static friction = 0.4

v = Final velocity = 0

u = Initial velocity = 72 km/h = $\dfrac{72}{3.6}=20\ \text{m/s}$

s = Displacement

Force applied

$F=ma$

Frictional force

$f=\mu_s mg$

Now these forces act opposite to each other so are equal. This is valid for the case when the load does not slide

$ma=\mu_s mg\\\Rightarrow a=\mu_s g\\\Rightarrow a=0.4\times 9.81\\\Rightarrow a=3.924\ \text{m/s}^2$

Since the obect will be decelerating the acceleration will be $-3.924\ \text{m/s}^2$

From the kinematic equations we have

$v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-20^2}{2\times -3.924}\\\Rightarrow s=50.97\ \text{m}$

So, the minimum distance at which the car will stop without making the load shift is 50.97 m.

5 0

3 years ago

An object hangs from a spring in a stable (equilibrium) position. The spring is pulled 3 feet downward and the object begins to

mote1985 [20]

The equation of the motion of this object is $\mathbf{y = 3 cos \Big [ \dfrac{ \pi}{2}(t -2) \Big ] }$

<h3>What is oscillation?</h3>

An oscillation in a waveform is a periodic set of vibrations an object in the medium produces.

From the parameters given:

The spring is pulled 3 feet down ward from the origin(equilibrium position) = -3
Time to complete one oscillation = 4 seconds

The angular velocity can be computed by using the formula:

$\mathbf{\omega = \dfrac{2 \pi}{T}}$

$\mathbf{\omega = \dfrac{2 \pi}{4.0}}$

The amplitude A from the oscillation is:

$\mathbf{\Big|A \Big| = \Big|\dfrac{3 - (-3)}{2} \Big| = 3}$

It implies that the vertical shift (D) is:

$\mathbf{\dfrac{minimum + maximum}{2} = \dfrac{3+(-3)}{2} = 0}$

However, by using the formula of the general form of a sinusoidal equation, we have:

$\mathbf{y = A cos \Big [ \dfrac{2 \pi}{4}(t -2) \Big ] + 0}$

$\mathbf{y = 3 cos \Big [ \dfrac{ \pi}{2}(t -2) \Big ] }$

Learn more about oscillation in waveform here:

brainly.com/question/15701473

5 0

2 years ago

A "home-made" solid propellant rocket has an initial mass of 9 kg; 6.8 kg of this is fuel. The rocket is directed vertically upw

nlexa [21]

Answer:

v = 1176.23 m/s

y = 741192.997 m = 741.19 km

Explanation:

Given

M₀ = 9 Kg (Initial mass)

me = 0.225 Kg/s (Rate of fuel consumption)

ve = 1980 m/s (Exhaust velocity relative to rocket, leaving at atmospheric pressure)

v = ? if t = 20 s

y = ?

We use the equation

v = ∫((ve*me)/(M₀ - me*t)) dt - ∫g dt where t ∈ (0, t)

⇒ v = - ve*Ln ((M₀ - me*t)/M₀) - g*t

then we have

v = - 1980 m/s*Ln ((9 Kg - 0.225 Kg/s*20 s)/(9 Kg)) - (9.81 m/s²)(20 s)

v = 1176.23 m/s

then we apply the formula

y = ∫v dt = ∫(- ve*Ln ((M₀ - me*t)/M₀) - g*t) dt

⇒ y = - ve* ∫ Ln ((M₀ - me*t)/M₀) dt - g*∫t dt

⇒ y = - ve*(Ln((M₀ - me*t)/M₀)*t + (M₀/me)*(M₀ - me*t - M₀*Ln(M₀ - me*t))) - (g*t²/2)

For t = 20 s we have

y = Ln((9 Kg - 0.225 Kg/s*20 s)/9 Kg)*(20 s) + (9 Kg/0.225 Kg/s)*(9 Kg - 0.225 Kg/s*20 s - 9 Kg*Ln(9 Kg - 0.225 Kg/s*20 s)) - (9.81 m/s²*(20 s)²/2)

⇒ y = 741192.997 m = 741.19 km

The graphs are shown in the pics.

6 0

3 years ago

Which one of the following does not accurately describe the universal gravitational law? A. Gravitational force is proportional

meriva

<span>A. Gravitational force is proportional to the square of the distance between the centers of both bodies.

FALSE:

Gravitational force is inversely proportional to the square of the distance between the centers of both bodies.

Which you can see from the formula: F = G * [m*M] /(d^2)

As you see in the equation, d^2 is in the denominator so the bigger d^2 (the square of the distance between the centers) of the objects the smaller the gravitational force.

B. The object with the smaller mass does most of the moving because the object with the larger mass has too much inertia to move any noticeable amount.

TRUE:

F = mass * acceleration => acceleration = F / mass => the larger the mass the smaller the acceleration.

C. Gravitational force is proportional to the product of the two masses.

TRUE:

F = G [m*M] / (d^2)

The product of the two masses, m*M, is in the numerator, so F is proportional to this product.

D. Every object in the universe that has mass attracts every other object in the universe that has mass.

TRUE: that is a Universal Law discovered by Sir Isaac Newton.
</span>

6 0

3 years ago

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A motorcycle is traveling along a highway at 26 m/s. How far does the motorcycle travel in 15 s?​

A motorcycle is traveling along a highway at 26 m/s. How far does the motorcycle travel in 15 s?