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fredd [130]
3 years ago
15

A woman pushes a 27 kg lawnmower at a steady speed. She exerts a 120 N force in a direction 35◦ below the horizontal. The accele

ration of gravity is 9.8 m/ 2 . 27 kg 120 N 35◦ Find the magnitude of the vertical force this lawnmower exerts on the lawn. Answer in units of N.
Physics
1 answer:
nikklg [1K]3 years ago
3 0

The vertical force exerted on the lawn is 68.8 N downward

Explanation:

The vertical force exerted by the lawnmower on the lawn is equal to the vertical component of the force applied, therefore:

F_y = F sin \theta

where

F is the magnitude of the force applied

\theta is the angle between the direction of the force and the horizontal

In this problem:

F = 120 N

\theta=-35^{\circ}

Substituting,

F_y = (120)(sin 30)=-68.8 N

where the negative sign means the direction of the force is downward.

Learn more about vector components and forces here:

brainly.com/question/2678571

brainly.com/question/8459017

brainly.com/question/11292757

brainly.com/question/12978926

#LearnwithBrainly

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Answer:

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Explanation:

According to newton's second law,

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From the question,

F+F₁+F₂ = ma................ Equation 1

Where F = The force generated from the engine, F₁ = Force exerted by the wind, F₂ = Force exerted due to the water, m = mass of the boat, a = acceleration of the boat.

Given: F = 4080 N , F₁ = -680 N(east), F₂ = -1160 N(east). m = 7660 kg

substitute into equation 1

4080-680-1160 = 7660(a)

2240 = 7660a

Therefore,

a = 2440/7660

a = 0.29 m/s due west.

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