Which statement is true about the formation of bounds

A hockey puck is at the top of a 10 m long slippery slope, that makes an angle of 30° to the horizontal and leads down to a flat

aleksklad [387]

To solve this problem, we will first apply the concepts related to trigonometric relations and then the conservation of energy. By the trigonometric relations we will find the height for the calculation of the potential energy. For the conservation of energy we will give the relationship between the kinetic energy and initial potential with the final kinetic energy. Therefore, first the height by trigonometric relation we have

$h = Lsin\heta$

$h = 10sin30\°$

$h = 5m$

Then by conservation of energy

$E_i = E_f$

$mgh+\frac{1}{2}mv_i^2 = \frac{1}{2}mv_f^2$

Here,

m = mass

g = Gravitational acceleration

v = Velocity

Rearranging to find the final velocity,

$v_f = \sqrt{v_i^2+2gh}$

$v_f = \sqrt{5^2+(9.8*10)}$

$v_f = 11.1m/s$

Therefore the correct answer is D.

7 0

3 years ago

Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which c

Andru [333]

To increase the acceleration of the car using the same engine, the mass of the car must be decreased.

<h3>What is Newton's first law of motion</h3>

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force.

The first law is also called the law of inertia because it depends on the mass of the object. The greater the mass, the greater the inertia and more reluctant the object will be to move.

Thus, to increase the acceleration of the car using the same engine, the mass of the car must be decreased.

a = F/m

Learn more about Newton's law here: brainly.com/question/25545050

#SPJ1

4 0

2 years ago

About 0.1 eV is required to break a "hydrogen bond" in a protein molecule. Calculate the minimum frequency and maximum wavelengt

Verdich [7]

Answer:

$2.41\cdot 10^{13}Hz, 1.24\cdot 10^{-5}m$

Explanation:

The energy of the photon must be equal to 0.1 eV, so let's convert this value into Joules first:

$E=0.1 eV \cdot 1.6\cdot 10^{-19} J=1.6\cdot 10^{-20}J$

The energy of the photon is related to its frequency by

$E=hf$

where h is the Planck constant and f is the frequency. Substituting,

$f=\frac{E}{h}=\frac{1.6\cdot 10^{-20}J}{6.63\cdot 10^{-34}Js}=2.41\cdot 10^{13}Hz$

And now we can find the wavelength of the photon, which is given by

$\lambda=\frac{c}{f}$

where c is the speed of light. Substituting,

$\lambda=\frac{3\cdot 10^8 m/s}{2.41\cdot 10^{13} Hz}=1.24\cdot 10^{-5}m$

8 0

3 years ago

Which occurs at a transform boundary?

andreev551 [17]

The answer is B. One plate slides past another.

The San Andreas Fault in California and the Alpine Fault in New Zealand are examples of transform boundaries.

Hope this helps! :)

5 0

3 years ago

William tell must split the apple atop his son's head from a distance of 24 m. when he aims directly at the apple, the arrow is

mezya [45]

Let x = the angle of elevation for shooting the arrow.

Assume
g = 9.8 m/s²
No wind resistance
The vertical launch velocity is 25.1 sin(x) m/s
The horizontal velocity is 25.1 cos(x) m/s

The time of flight is
24/[25.1 cos(x)] s = 0.9562 sec(x) s

Therefore
0.5*[0.9562 sec(x)]*(9.8) = 25.1 sin(x)
4.6854 = 25.1* sin(x)cos(x)
sin(2x) = 0.3733
2x = sin⁻¹ 0.3733 = 21.92 deg
x = 10.96 deg

Answer: 11 degrees (nearest integer)

8 0

4 years ago

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