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3 years ago

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A 75.3 kg bobsled is pushed along a horizontal surface by two athletes. After the bobsled is pushed a distance of 8.1 m starting

from rest, its speed is 7.1 m/s. Find the magnitude of the net force on the bobsled. Answer in units of N

1 answer:

dusya [7]3 years ago

8 0

Answer:

233.43 N

Explanation:

Force: This is the product of mass and acceleration of a body.

The formula for force is given as,

F = ma .............. Equation 1

Where F = Net force on the bobsled, m = mass of the bobsled, a = acceleration of the bobsled

We can look for a using the equation of motion

v² = u² + 2as.............. Equation 2

Where V = final velocity, u = initial velocity, a = acceleration, s = distance.

making a the subject of the equation,

a = (v²-u²)/2s................... Equation 3

Given: v = 7.1 m/s, u = 0 m/s ( from rest), s = 8.1 m.

Substitute into equation 3

a = (7.1²-0²)/(2×8.1)

a = 50.41/16.2

a = 3.1 m/s²

Also given: m = 75.3 kg

Substitute into equation 1

F = 75.3×3.1

F = 233.43 N

Hence the net force on the bobsled = 233.43 N

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1 year ago

A 3-m-high, 7-m-wide rectangular gate is hinged at the top edge and is restrained by a fixed ridge. Determine the hydrostatic fo

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Answer:

The Hydrostatic force is $F = 137.2 kN$

The location of pressure center is $Z = 1.333 \ m$

Explanation:

From the question we are told that

The height of the gate is $h = 3 \ m$

The weight of the gate is $w = 7 \ m$

The height of the water is $h_w = 2 \ m$

The density of water is $\rho_w = 1000 \ kg/m^3$

Note used $h_w$ for height of water and height of gate immersed by water since both have the same value

The area of the gate immersed in water is mathematically represented as

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substituting values

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The hydrostatic force is mathematically represented as

$F = \rho_w * g * h_f * A$

Where

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So

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The center of pressure is mathematically represented as

$Z = h_f + \frac{I_g}{h_f * A}$

Where $I_g$ is the moment of inertia of the gate which mathematically represented as

$I_g = \frac{w * h_w^2}{12}$

The $h_w$ is the height of gate immersed in water

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Thus

$Z = 1 + \frac{4.66}{1 * 14}$

$Z = 1.333 \ m$

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