Answer:
v = 4.76 m/s
Explanation:
Given,
The distance traveled by her bike, d = 10 miles
The time of her travel, t = 2.1 m/s
The velocity of an object is defined as the distance traveled by the object to the time of travel. Therefore,
V = d/t m/s
= 10 / 2.1
= 4.76 m/s
Hence, The velocity of her bike is, V = 4.76 m/s
Answer:
0.615 m
Explanation:
We need to determine the force on the spring first. By Newton's second law of motion, force is the product of the mass and acceleration. The mass is given.
The acceleration is determined using the equation of motion.
Given parameters:
Initial velocity, <em>u</em> = 0.00 m/s
Distance, <em>s</em> = 4.19 m
Time, <em>t</em> = 0.601 s
We use the equation
With <em>u</em> = 0.00 m/s,
The force is
From Hooke's law, the extension, <em>e</em>, of a string is given by
where <em>k</em> is the spring constant.
Hence,
The angular velocity at the beginning of the interval of the wheel rotating at a constant angular acceleration is determined as 10 rad/s.
<h3>
Initial angular velocity of the wheel</h3>
The initial angular velocity of the wheel is determined by applying the kinematic equation as shown below;
ωf² = ωi² + 2αθ
where;
- ωf is the final angular velocity
- ωi is the initial angular velocity
- α is angular acceleration
- θ is angular displacement
Substitute the given parameters and solve for the initial angular velocity.
14² = ωi² + 2(6)(8)
196 = ωi² + 96
ωi² = 196 - 96
ωi² = 100
ωi = √100
ωi = 10 rad/s
Thus, the initial angular velocity of the wheel is 10 rad/s.
Learn more about angular velocity here: brainly.com/question/6860269
