Solution Found!
The spring shown in FIGURE is compressed 50 cm and used to
Chapter 11, Problem 57P(choose chapter or problem)
The spring shown in Figure P11.57 is compressed \(50 cm\) and used to launch a \(100 kg\) physics student. The track is frictionless until it starts up the incline. The student’s coefficient of kinetic friction on the \(30^{\circ}\) incline is 0.15.
a. What is the student’s speed just after losing contact with the spring?
b. How far up the incline does the student go?
Questions & Answers
QUESTION:
The spring shown in Figure P11.57 is compressed \(50 cm\) and used to launch a \(100 kg\) physics student. The track is frictionless until it starts up the incline. The student’s coefficient of kinetic friction on the \(30^{\circ}\) incline is 0.15.
a. What is the student’s speed just after losing contact with the spring?
b. How far up the incline does the student go?
ANSWER:
Step 1 of 2
a)
Here we have to find the speed of the student, just after losing contact with the spring.
The mass of the student is,
The spring constant is,
.
The height is,
.
The friction coefficient is,
.
.
Diagrammatically,
The conservation of energy demands,
Here,
So,
.
So, the speed just after losing contact with the spring is 14 m/s.