The acceleration of an object will always align with the direction of the resultant force acting upon it. Thus, we can find horizontal acceleration by examining the horizontal force applied, applying Newton's second law in its mathematical form: Force = mass * acceleration. Therefore, acceleration = force / mass. By inputting the numbers, we have a = 100 / 0.15, which results in a = 666.7 m/s². Consequently, the acceleration experienced by the hockey puck is 670 m/s².
Answer:
The value of Y is -10°.
Explanation:
For scale X, the freezing point is 40° and the boiling point is 120°.
The gap between the two endpoints for scale X = 120 - 40 = 80
For scale Y, the ice point and steam point are -30° and 130° correspondingly.
The difference between these two points for scale Y = 130 - (-30) = 160
Comparing both scales:
One unit in scale X is x
One unit in scale Y is y
Scale X consists of 80 divisions, while scale Y has 160
80x = 160y
x = 2y
50° on scale X equals 10x plus the freezing point of scale X
10 divisions in scale Y correspond to 20y
The reading on scale Y = the ice point of Y + 20y
= -30° + 20°
= -10°
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
0.833 N. To determine this, we first calculate the vertical distance from the highest position of the pendulum to the lowest point. This involves finding the height difference, which in this case is given by y = 1.2 - 1 = 0.2 m. As the pendulum moves downward, its potential energy is transformed into kinetic energy, following the conservation of energy principle.
