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Crank
3 years ago
15

A person bounces up and down on a trampoline, while always staying in contact with it. The motion is simple harmonic motion, and

it takes 1.90 s to complete one cycle. The height of each bounce above the equilibrium position is 45.0 cm. Determine (a) the amplitude and (b) the angular frequency of the motion. (c) What is the maximum speed attained by the person?
Physics
1 answer:
Alex777 [14]3 years ago
8 0

Answer:

(a) 45 cm (b) 3.305 rad/sec (c) 1.4875 m/sec

Explanation:

It is given that the motion is simple harmonic and it takes 1.90 sec to complete a cycle

The frequency is defined as the reciprocal of time taken to complete one cycle so f=\frac{1}{1.90}=0.5263\ Hz

(a) As it is given that the height of each bounce above the equilibrium positon is 45 cm so amplitude will be 45 cm

(b) The angular frequency ω is given by \omega =2\pi f=2\times 3.14\times 0.5263=3.3051  rad/sec

(c) The maximum speed V_{max} is given by V_{max}=\omega A  where ω is angular frequency of the motion and A is the amplitude So V_{max}=3.305\times 45\times 10^{-2}=1.4875\ m/sec

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Answer:

Length will be 0.491 nm

Explanation:

We have given wavelength of the photon \lambda =800nm=800\times 10^{-9}m

Plank's constant h=6.6\times 10^{-34}J-s

We know that energy of the photon is given by

E=\frac{hc}{\lambda }=\frac{6.6\times 10^{-34}\times 3\times 10^8}{800\times \times 10^{-9}}=2.475\times 10^{-19}J

We know that energy of photon is also given by

E=\frac{n^2h^2}{8mL^2}=\frac{h^2}{8mL^2}

2.475\times 10^{-19}=\frac{(6.6\times 10^{-34})^2}{8\times 9.1\times 10^{-31}\times L^2}

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What is the minimum force required to increase the energy of a car by 84 J over a distance of 38 m? Assume the force is constant
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Answer:

2.210N

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Workdone = Force x distance

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3 years ago
A 1-kg block is lifted vertically 1 m at constant speed by a boy. The work done by the boy is about:
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Answer:

9.8\; {\rm J}, assuming that the gravitational field strength is g = 9.8\; {\rm N \cdot kg^{-1}}.

Explanation:

Notice that both the speed and the direction of motion of this block are constant. In other words, the velocity of this block is constant.

By Newton's Second Law, the net force on this block would be 0. External forces on this block should be balanced. Thus, the magnitude of the (downward) weight of this block should be equal to the magnitude of the (upward) force that the boy applies on this block.

Let m denote the mass of this block. It is given that m = 1\; {\rm kg}. The weight of this block would be:

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The mechanical work that a force did is equal to the product of:

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The displacement of this block (upward by s = 1\; {\rm m}) is in the same direction as the (upward) force that this boy had applied. Thus, the work that this boy had done would be the product of:

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\begin{aligned}\text{work} &= F\, s \\ &= 9.8\; {\rm N} \times 1\; {\rm m} \\ &= 9.8\; {\rm J}\end{aligned}.

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