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MAXImum [283]
3 years ago
6

Mr. Johnson needs to determine how many square meters of grass they need to buy for their yard.

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

Amount of grass needed (In square meter) = 34 meter²

Step-by-step explanation:

Divide given shape into rectangle and trapezium

Given:

Width of rectangle = 2 m

Length of rectangle = 5 m

Height of parallelogram = 9 - 5 = 4 m

Base of parallelogram = 10 m

Opposite site of parallelogram = 2 m

Find:

Amount of grass needed (In square meter)

Computation:

Amount of grass needed (In square meter) = Area of rectangle + Area of parallelogram

Amount of grass needed (In square meter) = (l x b) + (1/2)(sum of parallelogram)(height)

Amount of grass needed (In square meter) = (5 x 2) + (1/2)(2 + 10)(4)

Amount of grass needed (In square meter) = 10 + (1/2)(12)(4)

Amount of grass needed (In square meter) = 10 + 24

Amount of grass needed (In square meter) = 34 meter²

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Step-by-step explanation:

❁ \underline{ \underline{ \text{Given} }}:

  • Mass of a large rock ( m ) = 4.0 kg
  • Velocity ( v ) = 2.0 m/s

❁ \underline{ \underline{ \text{ \: To \: find}}}:

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✑ \underline{ \underline{ \text{Solution}}} :

\boxed{ \underline{ \sf{Momentum \:  =  \: mass \:  \times  \: velocity}}}

plug the known values :

⟹ \sf{Momentum = 4.0 \: kg \:  \times  \: 2.0 \:m/s }

⟹ \sf{Momentum = 8 \: kg \: m/s}

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer :   \bold{ \underline{8} }\: kg*m/s}}}}

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑ \underline{ \underline{ \text{Learn \: more about \: momentum}}}:

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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