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schepotkina
2 months ago
5

A frictionless inclined plane is 8.0 m long and rests on a wall that is 2.0 m high. How much force is needed to push a block of

ice weighing 300.0 N up the plane

Physics
1 answer:
serg [3.5K]2 months ago
7 0

Provided Information:

Length of inclined plane = 8 m

Height of inclined plane = 2 m

Weight of the ice block = 300 N

Required Information:

Force needed to push ice block = F =?

Answer:

Force needed to push the ice block = 75 N

Explanation:

The required force to push this ice block up an inclined plane is given by

F = Wsinθ

where W is the weight of the ice block and θ is the angle indicated in the attached image.

Using trigonometric ratios,

sinθ = opposite/hypotenuse

where the opposite side is the height of the inclined plane and the hypotenuse is the length of the inclined plane.

Thus, sinθ = 2/8

θ = sin⁻¹(2/8)

which leads to θ = 14.48°

Therefore, F = 300*sin(14.48)

results in F = 75 N

This indicates that a force of 75 N is necessary to push the ice block on the specified inclined plane.

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A circular surface with a radius of 0.057 m is exposed to a uniform external electric field of magnitude 1.44 × 104 N/C. The mag
Softa [3030]

Answer:

57.94°

Explanation:

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\Phi =E\times S\times COS\Theta

where Ф represents flux

           E indicates electric field

           S denotes surface area

        θ signifies the angle between the electric field direction and the surface normal.

It is given that Ф= 78 \frac{Nm^{2}}{sec}

                          E=1.44\times 10^{4}\frac{Nm}{C}

                          S=\pi \times 0.057^{2}

                         COS\Theta =\frac{\Phi }{S\times E}

 =   \frac{78}{1.44\times 10^{4}\times \pi \times 0.057^{2}}

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4 0
3 months ago
An 800-N billboard worker stands on a 4.0-m scaffold weighing 500 N and supported by vertical ropes at each end. How far would t
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Answer:

2.5 m

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Billboard worker's weight = 800 N

Number of ropes = 2

Length of scaffold = 4 m

Weight of scaffold = 500 N

Tension present in rope = 550 N

The total torques will be

-800(4-x)-500\times 2+550\times 4=0\\\Rightarrow -800(4-x)=500\times 2-550\times 4\\\Rightarrow -800(4-x)=-1200\\\Rightarrow -x=\dfrac{1200}{800}-4\\\Rightarrow -x=-2.5\\\Rightarrow x=2.5\ m

The worker is positioned at 2.5 m

7 0
3 months ago
The crossbar of a goal post on a professional American football field sits at a height of 3.05 meters (10 feet) above the field.
Sav [3153]

Answer:

A. Yes, the ball clears the crossbar by 2.83 meters

Explanation:

This situation pertains to projectile motion.

The horizontal velocity component of the ball is calculated as 26 cos 35 = 21.3 m/s

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The time taken to travel the horizontal distance to the goalpost, which is 54.9 m, is:

= distance / horizontal speed

= 54.9 / 21.3

= 2.577 seconds.

The vertical distance achieved during this time is:

h = ut - 1/2 gt², where u is the initial vertical velocity, and t = 2.577 seconds.

h = 14.9 x 2.577 - 0.5 x 9.8 x (2.577)²

= 38.39 - 32.54

= 5.85 m

Thus, the ball surpasses the crossbar by 5.85 - 3.05 = 2.8 m

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3 months ago
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