Question

A boy is pulling a wagon with a force of 70.0 N directed at an angle of 30 degrees above the horizontal. What are the x and y components of this force?

X component - 60.60 N, Y component - 35 N
X component - 45 N, Y component - 10 N
X component - 22.65 N, Y component - 28.9 N
X component - 89 N, Y component - 15.70 N

Answer 1

x component is 60.60 N and y component is 35 N ⇒ answer A

Step-by-step explanation:

A boy is pulling a wagon with a force of 70.0 N directed at an angle

of 30 degrees above the horizontal then,

`F_(x)` is the horizontal component of the force in the direction

of positive part of x-axis

`F_(y)` is the vertical component of the force force in the direction

of positive part of y-axis

The x component of the force
`F_(x)` is the force multiplied by

cos(30)°

The y component of the force
`F_(y)` is the force multiplied by

sin(30)°

→ The x component
`F_(x)` = F cos(30)

→ The x component
`F_(x)` = 70 cos(30) = 60.60 N

→ The y component
`F_(y)` = F sin(30)

→ The y component
`F_(y)` = 70 sin(3) = 35 N

x component is 60.60 N and y component is 35 N