Unless otherwise stated, all objects are located near the Earth\'s surface, wher

Question

Unless otherwise stated, all objects are located near the Earth's surface, where g = 9.80 m/s^2 .
A girl pushes a 30kg lawn mower as shown in the figure(Figure 1) .

b)What is the normal force exerted on the mower by the lawn?

Unless otherwise stated, all objects are located near the Earth's surface, where g = 9.80 m/s^2 . A girl pushes a 30kg lawn mower as shown in the figure(Figure 1) . theta = 37degree what is the acceleration of the mower? Ignore friction b)What is the normal force exerted on the mower by the lawn? a)if F = 35N and

Explanation / Answer

a)

F(horizontal) = F(applied)cos37
Note that F(horizontal)= ma
ma=F(applied)cos37

a = F(applied)cos37 / m

a = 35Ncos37/30kg

a= 0.93174 m/s2

b)

F(vertical)=F(normal) - F(applied)sin37 - F(gravity)
Note that F(vertical) = 0 because the lawn mower is not moving up or down
0=F(normal)-F(applied)sin37-F(gravity) -> F(normal) = F(applied)sin37 + F(gravity)
Note that F(gravity) = mg (where g = 9.8m/s2); substitute in values

F(normal) = 35Nsin37 + 30kg(9.8m/s2)
F(normal) = 315.0635 N

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