The force formula is defined by Newton’s second law of motion: Force exerted by an object equals mass times acceleration of that object: F = m ⨉ a. To use this formula, you need to use SI units: Newtons for force, kilograms for mass, and meters per second squared for acceleration.

m = 18 kg. Since, f = m×a. Therefore, a = f ÷ m = 9 ÷ 18 = 0.5 m/s². Ans.

Weegy: D. 120 N is required to accelerate a body with a mass of 15 kilograms at a rate of 8 m/s. Weegy: The metric unit of force is the newton.

How much force is required to accelerate a car with a mass 2000 kg to 3m/s^2? a. 6000 kg.

The force (F) required to move an object of mass (m) with an acceleration (a) is given by the formula F = m x a. So, force = mass multiplied by acceleration.

It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied.

One can consider the mass of an object as a measure of how much physical “stuff” makes up that object. mass=density×volume (m=ρV). Density is a measure of mass per unit of volume, so the mass of an object can be determined by multiplying density by volume. mass=force÷acceleration (m=F/a).

Acceleration is the rate of change of velocity of an object in the same straight line of the unbalanced force. It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s2). Thus, an object of constant mass accelerates in proportion to the force applied.

Formula of Work d is the displacement. θ is the angle between force and direction of motion.

The total work done as the sum of the work done by each force is then seen to be Wtotal = Wgr +WN + Wapp + Wfr = 92.0 J.

Important Time and Work Formula Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. If a piece of work is done in x number of days, then the work done in one day = 1/x.

Work is the measure of energy transfer when a force (F) moves an object through a distance (d). So when work is done, energy has been transferred from one energy store to another, and so: energy transferred = work done.

Power equals work (J) divided by time (s). The SI unit for power is the watt (W), which equals 1 joule of work per second (J/s).

Power is a rate at which work is done, or energy is used. It is equal to the amount of work done divided by the time it takes to do the work. The unit of power is the Watt (W), which is equal to a Joule per second (J/s). P = power (W, or J/s) ∆W = the work done, or energy used (J)

A power of a power means you are taking an expression that is already raised to an exponent and raising it to yet another exponent!

The power (or exponent) of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number. In this example the little “2” says to use 8 two times in a multiplication: 82 = 8 × 8 = 64.

What is 4 to the 2nd Power? The exponent of the number 4, 2, also called index or power, denotes how many times to multiply the base (4). Thus, we can answer what is 4 to the 2nd power as. 4 to the power of 2 = 42 = 16.

243

81

216

Power of a power The result is a single exponential where the power is the product of the original exponents: (xa)b=xab. We can see this result by writing it as a product where the xa is repeated b times: (xa)b=xa×xa×⋯×xa⏟b times. Next we apply rule (1) for the product of exponentials with the same base.

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers. , this says that to divide two exponents with the same base, you keep the base and subtract the powers.

The exponent rules are:

• Product of powers rule — Add powers together when multiplying like bases.
• Quotient of powers rule — Subtract powers when dividing like bases.
• Power of powers rule — Multiply powers together when raising a power by another exponent.

Laws of Exponents. When multiplying like bases, keep the base the same and add the exponents. When raising a base with a power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Terms in this set (7)

• Exponents. x.
• Zero as an Exponent. x.
• Base Raised to Two Exponents. (Power of a Power Rule for Exponents)
• Multiplying Like Bases With Exponents. (The Product Rule for Exponents)
• Dividing Like Bases With Exponents. (Quotient Rule for Exponents)
• A Product Raised to an Exponent.
• Negative Exponents.

Laws of Exponents

• Multiplying Powers with same Base. For example: x² × x³, 2³ × 2⁵, (-3)² × (-3)⁴
• Dividing Powers with the same Base. For example:
• Power of a Power. For example: (2³)², (5²)⁶, (3² )−3.
• Multiplying Powers with the same Exponents.
• Negative Exponents.
• Power with Exponent Zero.
• Fractional Exponent.

Rule 1: To multiply identical bases, add the exponents. Rule 2: To divide identical bases, subtract the exponents. Rule 3: When there are two or more exponents and only one base, multiply the exponents.