The amount of potential energy the block contains is 2,822.4 Joules
<u>Given the following data:</u>
- Height of platform = 24 meters.
We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 
.
To determine the amount of potential energy the block contains:
Mathematically, potential energy (P.E) is given by the formula;
Where:
- g is the acceleration due to gravity.
- h is the height of an object.
Substituting the parameters into the formula, we have;
Potential energy (P.E) = 2,822.4 Joules
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It prove that liquid pressure increases with depth
a. A car driving in a straight line at 20 m/s.
Explanation:
An object is in a state of equilibrium when no force is acting upon it. There are two types of equilibrium; static equilibrium and dynamic equilibrium.
Static equilibrium is a state when a body is at rest.
Dynamic equilibrium is an equilibrium state when a body is moving at a constant velocity. (Rectilinear Motion).
A car moving in a straight line at 20 m/s has a constant velocity and hence no force is acting on it. So, it is in dynamic equilibrium.
A book sitting on a table without moving is not is dynamic equilibrium but in static equilibrium.
A boy jumping off a diving board in not in equilibrium as gravitational force is acting upon him and he has a changing velocity.
A motorcycle going in a circle at a constant speed has changing velocity because the direction of the motion is constantly changing hence it is not in the state of motion.
Keywords: velocity, force, equilibrium, static equilibrium, dynamic equilibrium
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Answer:
1600 W
Explanation:
Power is the product of force and distance, divided by time.
P = (120 kg)(10 m/s²)(40 m)/(30 s) = 1600 kg·m²/s³ = 1600 W
Answer:
(a) 34.4°
(b) 49.4 N
Explanation:
(a) From the diagram,
Amgle between the x axis can be calculated as,
cosΘ = adjacent/hypoteneous
cosΘ = 72.1/87.4
cosΘ = 0.8249
Θ = cos⁻¹(0.8249)
Θ = 34.4°.
Hence the angle between the x axis is 34.4°
(b) To find the component along the y axis we make use of pythagoras theorem.
a² = b²+c²................... Equation 1
Where a = 87.4 N, b = 72.1 N, c = y.
Substitute these values into equation 1
87.4² = 72.1² + y²
y² = 87.4²-72.1²
y² = 2440.35
y = √(2440.35)
y = 49.4 N
