Lila is a track and field athlete. She must complete four laps around a circular track. The track itself is a 400 meter track an
1 answer:
Answer:
A. Her speed is 4.4 m/s, and her velocity is 0 m/s.
Explanation:
Given parameters:
Length of path = 400m
Time taken = 6min = 360s
Unknown:
Speed and velocity = ?
Solution:
Velocity is the displacement divide by the time. Displacement takes into the account the distance covered with specific reference to direction. Since the student started and ended the journey on the same spot, the net displacement is 0.
So,
Since velocity =
Velocity = 0
Speed is the distance divided by time;
One lap = 400m,
four laps = 400 x 4 = 1600m
Speed = = 4.4m/s
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Answer:
a) The distance of the object from the center of the Earth is 8.92x10⁶ m.
b) The initial acceleration of the object is 5 m/s².
Explanation:
a) The distance can be found using the equation of gravitational force:
Where:
G: is the gravitational constant = 6.67x10⁻¹¹ Nm²/kg²
M: is the Earth's mass = 5.97x10²⁴ kg
m: is the object's mass = 0.4 kg
F: is the force or the weight = 2.0 N
r: is the distance =?
The distance is:
Hence, the distance of the object from the center of the Earth is 8.92x10⁶ m.
b) The initial acceleration of the object can be calculated knowing the weight:
Where:
W: is the weight = 2 N
a: is the initial acceleration =?
Therefore, the initial acceleration of the object is 5 m/s².
I hope it helps you!