Question

Marcie shovels snow after a storm by exerting a force of 32 N on her shovel at an angle of 50 degrees to the vertical. What is the horizontal component of the force exerted by Marcie? Answer to the nearest whole Newton.

Answer 1

The horizontal component of the force exerted by Marcie is 25 N

Step-by-step explanation:

Lets explain how to solve the question

Marcie shovels snow after a storm by exerting a force of 32 N on her

shovel at an angle of 50 degrees to the vertical

We need to find the horizontal component of the force exerted by Marci

The force direction is 50° to the vertical means

→ tan(50) =
`(Fx)/(Fy)` , where x is the horizontal component

of the force and y is vertical component

→ tan(50) =
`(sin(50))/(cos(50))`

By comparing between the two expressions of tan(50)

→ The horizontal component is Fx = F sin(50)

→ The vertical component is Fy = F cos(50)

We need the horizontal component

→ F = 32 N

→ The horizontal component = 32 sin(50) = 24.51 N ≅ 25 N

The horizontal component of the force exerted by Marcie is 25 N