Jennifer works for an automaker and tests the safety performance of cars. She watches a 2,000-kilogram car crash into a wall with a force of 30,000 newtons. What’s the acceleration of the car at impact? Use A=v-u/t .

Question

Emily Abbate · Accepted Answer

#a = 15# #"m" cdot "s"^(- 2)#

It doesn't seem that the formula given can be used to find the acceleration of the car.

The time of acceleration nor the initial and final velocities of the car are provided.

So we must use the formula #F = ma#; where #F# is the force of impact (in Newtons #"N"#), #m# is the mass of the car (in kilograms #"kg"#), and #a# is its acceleration (in metres per square second #"m" cdot "s"^(- 2)#).

We want to find its acceleration on impact, so let's solve the equation for #a#:

#Rightarrow F = ma Rightarrow a = frac(F)(m)#

Now, let's plug in the relevant values (which are provided):

#Rightarrow a = frac(30,000)(2000)# #"m" cdot "s"^(- 2)#

#therefore a = 15# #"m" cdot "s"^(- 2)#

Therefore, the acceleration of the car on impact is #15# #"m" cdot "s"^(- 2)#.

Amelia Adams · Answer

undefined To find the acceleration of the car at impact, we need to rearrange the equation A = (v - u) / t to solve for acceleration (A). We're given the force (F) and mass (m) of the car. The force applied on the car can be expressed as F = m * a, where F is the force, m is the mass, and a is the acceleration. Rearranging this equation, we have a = F / m. Substituting the given values, we get a = 30,000 N / 2,000 kg. Therefore, the acceleration of the car at impact is 15 m/s^2.