Answer:
The duration, t = 3.53 seconds
Explanation:
The following information is provided:
The equation to calculate the time t is expressed as:
...... (1)
Where
s denotes the distance in feet
We are to determine the duration taken by the stone to fall a distance of 200 feet, where s = 200 feet
Substituting the value of s into equation (1) yields:
t = 3.53 seconds
Thus, the time taken by the object is 3.53 seconds, which provides the required answer.
Answer: Her velocity magnitude (v) relative to the shore is 5.70 km/h.
Explanation:
Let Q be the speed of the boat, and P be the speed of the river flow.
R represents the resultant velocity combining boat velocity and river current.
According to vector addition using the law of triangles:
From the diagram:
P = 3.5 km/h, Q = 4.5 km/h
Therefore, her velocity magnitude relative to the shore is 5.70 km/h.
Response: The spring constant is 25 N/m.
Details:
The body’s mass is 25 g, which converts to 0.025 kg (since 1 kg = 1000 g).
The total oscillations are 20 in 4 seconds.
Oscillations per second =
Spring's frequency of vibration is =
The spring constant 'k' can be derived from the relationship involving frequency, mass, and spring constant.
The spring constant is 25 N/m.
Response:
Clarification:
A converging mirror is generally termed a concave mirror. The focal length and the image distance for a concave mirror are both expressed as positive values.
Using the mirror formula to derive the object distance;
Where f denotes the focal length, u indicates the object distance, and v represents the image distance.
Given f = 30cm, and v = 2u (The formed image is double the size of the pencil)
Plugging these values into the formula to solve for u yields;
By cross-multiplying, we obtain;
2u = 90
Dividing both sides by 2;
2u/2 = 90/2
u = 45cm
The object's distance from the mirror measures 45cm