How fast will an object with a mass of #4 kg# accelerate if a force of #23 N# is constantly applied to it?

Question

How fast will an object with a mass of #4  kg# accelerate if a force of #23   N# is constantly applied to it?

Julia Aguilar · Accepted Answer

#6m/s^2#

Using Newton's #2^"nd"# Law, we can determine the acceleration of the object.

Recall his formula:

#color(blue)(|bar(ul(color(white)(a/a)F_"net"=macolor(white)(a/a)|)))#

where: #F_"net"=#force (Newtons) #m=#mass (kilograms) #a=#acceleration (metres per second)

Rearrange the formula for #a# and substitute your known values into the formula to solve for the acceleration of the object.

#F_"net"=ma#

#a=F_"net"/m#

#a=(23N)/(4kg)#

#a=5.75#

#a~~color(green)(|bar(ul(color(white)(a/a)6m/s^2color(white)(a/a)|)))#

Nathan Ashcroft · Answer

undefined To calculate acceleration, you can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. So, you can use the formula:

Acceleration = Net force / Mass

Given:
Net force = 23 N
Mass = 4 kg

Substituting the values:
Acceleration = 23 N / 4 kg

Solving for acceleration:
Acceleration = 5.75 m/s^2

Therefore, the object will accelerate at a rate of 5.75 meters per second squared.