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3 years ago

Calculate the kinetic energy of a car that travels at a speed of 20 m/s and has a mass of 1200 Kg

Physics

1 answer:

Sophie [7]3 years ago

3 0

1200 times 20 times 9.6=24000j

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A 1.2-kg mass suspended from a spring of spring constant 22 N.m-1 executes simple harmonic motion of amplitude 5 cm. What is the

iren2701 [21]

Answer:

a) T = 1,467 s , b) A = 0.495 m , c) v = 4.97 10⁻² m / s

Explanation:

The simple harmonic movement is described by the expression

x = A cos (wt + Ф)

Where the angular velocity is

w = √ k / m

a) Ask the period

Angular velocity, frequency and period are related

w = 2π f = 2π / T

T = 2π / w

T = 2pi √ m / k

T = 2π √ (1.2 / 22)

T = 1,467 s

f = 1 / T

f = 0.68 Hz

b) ask the amplitude

The mechanical energy of a harmonic oscillator

E = ½ k A²

A = √2 E / k

A = √ (2 2.7 / 22)

A = 0.495 m

c) the mass changes to 8.0 kg

As released from rest Ф = 0, the equation remains

x = A cos wt

w = √ (22/8)

w = 1,658

x = 3.0 cos (1,658 t)

Speed is

v = dx / dt

v = -A w sin wt

The speed is maximum when without wt = ±1

v = Aw

v = 0.03 1,658

v = 4.97 10⁻² m / s

6 0

3 years ago

Rocket-powered sleds are been used to test the responses of humans to acceleration. Starting from rest, one sled can reach a spe

Greeley [361]

Answer:cho v₀ =0s

α=Δv/Δt

Explanation:

$\frac{0-495}{2,16-1,78}$

=-1302,631579

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gayaneshka [121]

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andre [41]

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Assume that the position vector of A is r=i+j+k . Determine the moment about the origin O if the force F=(1)i+(0)j+(5)k . The mo

ddd [48]

Answer:

M₀ = 5i - 4j - k

Explanation:

Using the cross product method, the moment vector(M₀) of a force (F) is about a given point is equal to cross product of the vector A from the point (r) to anywhere on the line of action of the force itself. i.e

M₀ = r x F

From the question,

r = i + j + k

F = 1i + 0j + 5k

Therefore,

M₀ = (i + j + k) x (1i + 0j + 5k)

M₀ = $\left[\begin{array}{ccc}i&j&k\\1&1&1\\1&0&5\end{array}\right]$

M₀ = i(5 - 0) -j(5 - 1) + k(0 - 1)

M₀ = i(5) - j(4) + k(-1)

M₀ = 5i - 4j - k

Therefore, the moment about the origin O of the force F is

M₀ = 5i - 4j - k

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3 years ago