Force given mass and acceleration problem

In summary, the formula for calculating force given mass and acceleration is F = m x a, where F is force in Newtons (N), m is mass in kilograms (kg), and a is acceleration in meters per second squared (m/s²). To find the mass when force and acceleration are known, rearrange the formula F = m x a to solve for m. The unit of measurement for force when using the formula F = m x a is Newtons (N). This formula can be used for any type of force, as long as the mass and acceleration are known. To calculate acceleration when force and mass are known, rearrange the formula F = m x a to solve for a.
  • #1
tworley1977
12
0

Homework Statement


Here is the problems exactly as written in the homework:

A Ferrari accelerates from 0 to 100km/hr in 4.80 secs. What force (in Newtons) does a passenger with a mass of 68kg experience during the acceleration?


Homework Equations


a = v/t
F=ma


The Attempt at a Solution


Ok...seems pretty straightforward, but the answer I come up with comes back as wrong. Can anyone point out my error?

a=100/4.8=20.83km/hr

F=68*20.8 = 1416.4kg*km/hr = 1416.4N
 
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  • #2
Nevermind. I see what I over looked. Forgot to convert km/hr to m/s.
 

1. What is the formula for calculating force given mass and acceleration?

The formula for calculating force given mass and acceleration is F = m x a, where F is force in Newtons (N), m is mass in kilograms (kg), and a is acceleration in meters per second squared (m/s²).

2. How do you find the mass when force and acceleration are known?

To find the mass when force and acceleration are known, rearrange the formula F = m x a to solve for m. The equation becomes m = F/a, where m is mass in kilograms (kg), F is force in Newtons (N), and a is acceleration in meters per second squared (m/s²).

3. What is the unit of measurement for force when using the formula F = m x a?

The unit of measurement for force when using the formula F = m x a is Newtons (N). This is the unit of measurement for force in the International System of Units (SI).

4. Can the formula F = m x a be used for any type of force?

Yes, the formula F = m x a can be used for any type of force as long as the mass and acceleration are known. This formula applies to both linear and rotational motion.

5. How do you calculate acceleration when force and mass are known?

To calculate acceleration when force and mass are known, rearrange the formula F = m x a to solve for a. The equation becomes a = F/m, where a is acceleration in meters per second squared (m/s²), F is force in Newtons (N), and m is mass in kilograms (kg).

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