An object with a mass of #6 kg# is on a plane with an incline of #pi/12 #. If the object is being pushed up the plane with # 6 N # of force, what is the net force on the object?
I'll assume the surface is frictionless, as there is no information regarding friction given.
Referring to the image below:
I'll call the positive
We know the normal force
Since the surface is (supposedly) frictionless, the only forces being applied are

gravitation force, equal to
#mgsintheta# (directed down the incline) 
applied force, equal to
#6# #"N"# (directed up the incline)
We need to find the quantity

#m = 6# #"kg"# 
#g = 9.81# #"m/s"^2# 
#theta = pi/12# Therefore,
#mgsintheta = (6color(white)(l)"kg")(9.81color(white)(l)"m/s"^2)sin(pi/12) = 15.2# #"N"# The net horizontal force
#sumF_x# is given by#sumF_x = mgsintheta  F_"applied" = 15.2# #"N"# #6# #"N"# #= color(red)(9.23# #color(red)("N"# directed down the plane
By signing up, you agree to our Terms of Service and Privacy Policy
The net force on the object can be calculated using the equation:
Net force = Force applied up the incline  Force due to gravity pulling down the incline
Force due to gravity pulling down the incline can be calculated using the formula:
Force due to gravity = mass * gravitational acceleration * sin(incline angle)
Given: Mass (m) = 6 kg Incline angle (θ) = π/12 radians Gravitational acceleration (g) = 9.8 m/s²
Plugging in the values:
Force due to gravity = 6 kg * 9.8 m/s² * sin(π/12)
Calculate the force due to gravity, then subtract it from the force applied up the incline (6 N) to find the net force.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 If a #3 kg# object moving at #8 m/s# slows to a halt after moving #180 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
 An object with a mass of #3 kg# is acted on by two forces. The first is #F_1= < 2 N , 8 N># and the second is #F_2 = < 2 N, 3 N>#. What is the object's rate and direction of acceleration?
 A block weighing #15 kg# is on a plane with an incline of #pi/3# and friction coefficient of #1/10#. How much force, if any, is necessary to keep the block from sliding down?
 An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 2 N , 4 N># and the second is #F_2 = < 3 N, 8 N>#. What is the object's rate and direction of acceleration?
 What is the relationship between mass and acceleration for cars?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7