IYGBW A hockey puck with initial speed 8.0 m/s travels 150 m before coming to rest. What is the coefficient of friction between the puck and the ice? 15. A. 0.01943 D. B. 0.01749 0.02177 0.01874 E. C. 0.02434 F. 0.0248 1-1
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![### Physics Problems
#### Problem 1:
**Topic:** Friction on an Incline
A 111 kg mass is on an incline with angle θ = 47.4° and length b = 23.3 m. The coefficient of kinetic friction (`μ`) between the mass and the surface of the incline is 0.3. Calculate the acceleration of the mass if it is initially near the top of the incline and slides down the incline.
**Diagram:**
The diagram shows a right triangle representing the incline. The angle θ (47.4°) is marked at the base, and the inclined side (length b = 23.3 m) is labeled. The triangle's base length is not specified in the problem.
#### Problem 2:
**Topic:** Kinetic Friction on Ice
A hockey puck with an initial speed of 8.0 m/s travels 15.0 meters before coming to rest. Given this information, we need to calculate the coefficient of friction (`μ`) between the puck and the ice.
**Answer Choices:**
- A. 0.010493
- B. 0.01749
- C. 0.02434
- D. 0.02177
- E. 0.01874
- F. 0.0248
### Explanation
1. **Friction on an Incline:**
- To solve this, apply the equations of motion and Newton's second law along the inclined plane.
- Determine the component of gravitational force parallel and perpendicular to the incline.
- Include the effect of frictional force which is `f_k = μ * N` where `N` is the normal force.
- Use the net force to find the acceleration.
2. **Kinetic Friction on Ice:**
- The deceleration due to friction can be calculated using the kinematic equation \( v^2 = u^2 + 2a s \) where \( v = 0 \), \( u = 8.0 \) m/s, and \( s = 15.0 \) m.
- Find the acceleration \( a \), which is negative indicating deceleration.
- Use the relationship between frictional force and normal force \( f_k = μ * N \) where \( f_k \) can be related to mass and acceleration \( f_k = m * a \). Since mass cancels out, solve](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9169dcce-1ad4-419d-a577-e4e403df2f68%2F5a5973f0-97b3-4320-9cb1-3a28f8743d76%2Fe6qbn1u_processed.jpeg&w=3840&q=75)
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