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3 years ago

The velocity of a 150 kg cart changes from 6.0 m/s to 14.0 m/s. What is the magnitude of the impulse that acted on it?

1 answer:

7 0

<span>An impulse is the change in momentum. Momentum is mass times velocity. Because the mass does not change, a change in velocity is what creates an impulse. (14.0 m/s - 6.0 m/s) = 8.0 m/s. (150 kg)x(8.0 m/s) = 1200 kgm/s.</span>

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pogonyaev

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds

Cerrena [4.2K]

Answer:

$Area = 51.68yd^2$

Step-by-step explanation:

Given

$h = 9yd$ -- height

$a = 2.5yd$ --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

$Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}$

So, we have:

$Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}$

$Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}$

$Area = 6.25 + 5\sqrt{1.5625 + 81}$

$Area = 6.25 + 5\sqrt{82.5625}$

$Area = 6.25 + 5* 9.086$

$Area = 51.68yd^2$

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3 years ago

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3 years ago

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3 years ago

Here are descriptions for how two dot patterns are growing,

Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

$T_n =2n^2 + 1$

When n = 0 to 3, we have:

$T_0 =2(0)^2 + 1 =1$

Step 0 = 1 dot

$T_1 =2(1)^2 + 1 =3$

Step 1 = 3 dots

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Step 2 = 9 dots

$T_3 =2(3)^2 + 1 =19$

Step 3 = 19 dots

Next, we draw the diagrams of both patterns (see attachment)