Response:
(a) 104 N
(b) 52 N
Clarification:
Provided Information
Incline angle of the ramp: 20°
F forms a 30° angle with the ramp
The parallel component of F along the ramp is Fx = 90 N.
The perpendicular component of F is Fy.
(a)
Consider the +x direction pointing up the slope, and the +y direction perpendicular to the ramp's surface.
Using the Pythagorean theorem, decompose F into its x-component:
Fx=Fcos30°
To find F:
F= Fx/cos30°
Insert the value for Fx based on the given info:
Fx=90 N/cos30°
=104 N
(b) Calculate the y-component of r using the Pythagorean theorem:
Fy = Fsin 30°
Substituting for F from part (a):
Fy = (104 N) (sin 30°)
= 52 N
According to the law of conservation of momentum, the total momentum before a collision equals the total momentum after the collision. When two carts collide and lock together, they form a single body with a certain mass and velocity. Based on the definition of momentum, we will compute the final velocity.
Answer:
4.05 m/s
Explanation:
We will express the varying velocities as vectors.
Newton moves northward at 3.90 m/s from Daniel's stationary position.
V_n = 3.9 j
Assuming Pauli runs relative to Daniel at velocity X.
The relative velocity of Newton as seen by Pauli will be
3.9 j - X
Given that
the relative velocity of Newton with respect to moving Pauli = 1.1 i (1.1 towards the east).
Thus,
3.9 j - X = 1.1 i
X = -1.1 i + 3.9 j.
Magnitude of X
X² = 1.1² + 3.9²
X = 4.05 m/s
Therefore, Pauli runs relative to Daniel at 4.05 m/s.
The direction will be west of north at an angle θ,
Tan θ = 1.1 / 3.9
Answer:
A.
Explanation:
Storing the linens in the closet will prevent them from becoming dirty or contaminated.
