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A boy is exerting a force of 70N at a 50-degree angle on a lawn mower. Calculate the horizontal and vertical components of the force.

a) Horizontal component: 45N, Vertical component: 56N
b) Horizontal component: 50N, Vertical component: 65N
c) Horizontal component: 55N, Vertical component: 42N
d) Horizontal component: 60N, Vertical component: 38N

User Hardrada
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Final answer:

To calculate the horizontal and vertical components of a force, use trigonometry. In this case, the horizontal component is 45N and the vertical component is 56N.

Step-by-step explanation:

To calculate the horizontal and vertical components of a force, we can use trigonometry. In this case, the force being exerted is 70N at a 50-degree angle.

The horizontal component of the force can be found by multiplying the force by the cosine of the angle: horizontal component = force * cos(angle). In this case, the horizontal component would be 70N * cos(50) = 45N.

The vertical component of the force can be found by multiplying the force by the sin of the angle: vertical component = force * sin(angle). In this case, the vertical component would be 70N * sin(50) = 56N.

User Leyla
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