To solve this problem it is necessary to apply the rules and concepts related to logarithmic operations.
From the definition of logarithm we know that,
In this way for the given example we have that a logarithm with base 10 expressed in the problem can be represented as,
We can express this also as,
By properties of the logarithms we know that the logarithm of a power of a number is equal to the product between the exponent of the power and the logarithm of the number.
So this can be expressed as
Since the definition of the base logarithm 10 of 10 is equal to 1 then
The value of the given logarithm is equal to 6
Answer:
230 m/s northeast, 1.8 m/s up
Explanation:
204 kilometres = 204000 metres
15.0 minutes = 900 seconds
Velocity = Distance / Time
= 204000 / 900
= 230 m/s northeast (to 2 sf.)
1.6km = 1600 metres
Velocity = 1600 / 900
= 1.8 m/s up (to 2 sf.)
Answer:
Image result for In covalent bonds what is being shared
A covalent bond is a chemical bond that involves the sharing of electron pairs between atoms. These electron pairs are known as shared pairs or bonding pairs, and the stable balance of attractive and repulsive forces between atoms, when they share electrons, is known as covalent bonding.
Explanation:
Answer:
Explanation:
Kinetic energy can be found using the following formula:
where <em>m </em>is the mass and <em>v</em> is the velocity.
The mass of the ball is 0.5 kilograms and the velocity is 15 meters per second
Substitute the values into the formula.
First, evaluate the exponent.
- (15 m/s)²= (15 m/s) * (15 m/s) = 225 m²/s²
Multiply 0.5 kg by 225 m²/s²
Multiply 112 kg*m²/s² by 1/2, or divide by 2.
- 1 kg*m²/s² is equal to 1 Joule
- Therefore, our answer of 56.25 kg*m²/s² is equal to 56.25 Joules.
The kinetic energy of the ball is <u>56.25 Joules</u>
Answer:
Explanation:
Given that
Mass of disc,M=3 kg
radius r= 65 cm
Mass of small mass ,m=0.07 kg
Initial speed = 2.2 rev/s
If external torque is zero then angular momentum of system will remain conserve.
Moment of inertia of disc at initial condition
Moment of inertia of disc at final condition
So from conservation of angular momentum
This is final speed of disc after small mass flies off from the disc.