Answer:
The height of the hill is, h = 38.42 m
Explanation:
Given,
The horizontal velocity of the soccer ball, Vx = 15 m/s
The range of the soccer ball, s = 42 m
The projectile projected from a height is given by the formula
S = Vx [Vy + √(Vy² + 2gh)] / g
Therefore,
h = S²g/2Vx² (Since Vy = 0)
Substituting the values
h = 42² x 9.8/ (2 x 15²)
= 38.42 m
Hence, the height of the hill is, h = 38.42 m
The cost of running the lightbulb A for 30 days at 0.110 per KWh is 1.98
<h3>How to determine the energy </h3>
We'll beging by calculating the energy used by lightbulb A. This can be obtained as follow:
- Power (P) = 25 watts = 25 / 1000 = 0.025 KW
- Time (t) = 30 days = 30 × 24 = 720 h
- Energy (E) =?
E = Pt
E = 0.025 × 720
E = 18 KWh
<h3>How to determine the cost for running the bulb for 30 days</h3>
The cost of running the bulb for 30 days can be obtained as follow:
- Cost per KWh = 0.11
- Energy (E) = 18 KWh
- Cost =?
Cost = energy × Cost per KWh
Cost = 18 × 0.11
Cost = 1.98
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Answer:
The book remained in its state of rest before the car started to move forward as no direct force acted on it.
Explanation:
According to Newton's first law of motion, a body will continue in its present state of rest, or if it is in motion, will continue to move with uniform speed in a straight line unless aced upon by an external force. This tendency of a body to remain in its state of reset or uniform motion in a straight line is known as inertia and is directly proportional to the mass of the body. The more massive a body, the more inertia it possesses. Thus Newton's first law is also known as the law of inertia.
Considering the case of the book on the dashboard of a stationary car which suddenly starts to move. While the car is stopped at the traffic light, the dashboard where the book sits and the book are both at rest. When the car begins to move forward, the dashboard moves forward with it. However as the book is not a part of the car, no force is directly acting on it, so the book so it stays at rest due to its inertia.
Therefore, as the car is moving forward, the stationary book appears to move backward from the reference point of the car, sliding off the dashboard.
Answer:
Part a)
Part b)
Explanation:
As we know that by parallel axis theorem we will have
Part a)
here we know that for a stick the moment of inertia for an axis passing through its COM is given as
now if we need to find the inertia from its end then we will have
Part b)
here we know that for a cube the moment of inertia for an axis passing through its COM is given as
now if we need to find the inertia about an axis passing through its edge