This one has been confusing me, can someone walk me through it? I'd like to know which formulas I need to use and everything.
A 121.0 -kg crate is sitting at rest on a ramp leading to the back of a truck.
a) How many forces are acting on the crate while it is at rest?
b) How many of the forces that are acting on the crate are along the vertical (parallel to the vertical) while is at rest?
c) How many of the forces that are acting on the crate are along the horizontal (parallel to the horizontal ) while is at rest?
d) How many of the forces acting on the crate act along the vertical (have a component along the vertical)?
e) How many of the forces acting on the crate act along the horizontal (have a component along the horizontal )?
f) What is the weight of the crate? (Express your answer in Newtons with the forward and the upward directions taken as positive and use 10 N/kg for g.)
g) What is the net force acting on the crate? (Express your answer in Newtons with the forward and the upward directions taken as positive.)
Answer g) first (trick question)
F = m a
a = 0
so net force on crate = 0
===========================
a)
1 - friction
2 - m g gravity
3 - normal from ramp
so three
b) gravity, just one
c) none are horizontal
d)gravity, normal and friction
all have vertical components so three
e) normal and frictional, so two
f) m g down
g) we did to start
To answer these questions, we need to keep in mind the basic concepts of forces and their components. Here's how you can approach each question:
a) How many forces are acting on the crate while it is at rest?
To determine the number of forces acting on an object, we consider both external forces and internal forces. In this case, since the crate is at rest, we only need to consider external forces. External forces can include things like gravity, friction, applied forces, etc.
b) How many of the forces that are acting on the crate are along the vertical (parallel to the vertical) while it is at rest?
To determine the number of vertical forces acting on the crate, we need to identify the forces that are aligned parallel to the vertical direction. This could include the weight force and any applied forces that are vertically aligned.
c) How many of the forces that are acting on the crate are along the horizontal (parallel to the horizontal) while it is at rest?
Similar to the previous question, we need to identify the forces that are aligned parallel to the horizontal direction. This can include any applied horizontal forces or forces due to friction that are along the horizontal direction.
d) How many of the forces acting on the crate act along the vertical (have a component along the vertical)?
Here, we are looking for forces that have both vertical and horizontal components. For example, an inclined plane can exert a force that has both vertical and horizontal components.
e) How many of the forces acting on the crate act along the horizontal (have a component along the horizontal)?
This question is similar to the previous question, but instead, we are looking for forces that have both horizontal and vertical components.
To answer questions f and g, we need to utilize the given information about the weight of the crate and understand how net force is related.
f) What is the weight of the crate?
The weight of an object is the force exerted on it due to gravity. The formula to calculate weight is: weight = mass * acceleration due to gravity. In this case, the given mass of the crate is 121.0 kg, and the acceleration due to gravity is 10 N/kg (as given in the question). By multiplying these values together, you can find the weight of the crate in Newtons.
g) What is the net force acting on the crate?
The net force acting on an object is the vector sum of all the forces acting on it. To find the net force, we need to consider the forces acting in both the vertical and horizontal directions, taking into account their magnitudes and directions. The net force can be found by adding or subtracting the individual forces appropriately.
By using the provided information and applying the relevant concepts and formulas, you should be able to answer each question step by step.