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olga nikolaevna
2 months ago
8

A force is applied to a block sliding along a surface (Figure 2). The magnitude of the force is 15 N, and the horizontal compone

nt of the force is 4.5 N. At what angle (in degrees) above the horizontal is the force directed?

Physics
2 answers:
Softa [3K]2 months ago
4 0

If my calculations are accurate, the angle is 67.5 degrees.

Yuliya22 [3.3K]2 months ago
3 0

Explanation:

Given:

The applied force magnitude is F = 15 N.

The horizontal force component is F_x=4.5\ N.

The angle above the horizontal can be found using the relationship:

F_x=F\ cos\theta

4.5=15\ cos\theta

\theta=cos^{-1}(\dfrac{4.5}{15})

\theta=72.54^{\circ}

Thus, the angle between the force direction and the surface is 72.54 degrees, representing the required answer.

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A 50-kg platform diver hits the water below with a kinetic energy of 5000 Joules. The height (relative to the water) from which
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h = 10 m

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mass of the platform = 50 Kg

Kinetic energy = 5000 J

height from which the diver dove =?

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Kinetic energy is transformed into potential energy

K.E = P.E

K.E = m g h

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12 days ago
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Answer:

The average distance of the new asteroid from the Sun is estimated to be (2.02 × 10⁶) km.

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The orbital speed of planets varies based on their distance from the Sun, which also affects their orbital period.

With its 557 months, equivalent to 46.4 years for an orbit around the Sun, the new asteroid's speed is situated between the orbital speeds of Saturn and Uranus.

Uranus orbits the Sun in 84 years at 24.61 km/hour,

while Saturn completes its orbit in 29.4 years at 34.82 km/hour.

To interpolate the speed for our asteroid at 46.4 years,

we denote its speed as x.

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Setting up the proportion:

(84 - 46.4)/(46.4 - 29.4) = (24.61 - x)/(x - 34.82)

Solving for x gives the asteroid's speed as 31.64 km/hr.

To find the average speed, use the formula:

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Time taken = 16700 days = 16700 × 24 hours = 400800 hours.

Thus, we find that 31.64 = (2πR)/400800.

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And, R = 12681312/(2π) = 2018293.5 km = (2.02 × 10⁶) km.

8 0
1 month ago
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