Consider a 3000 lb car whose speed is increased by 30 mph. Modeling the car as a

Jaden Easton

Jaden Easton

Answered question

2021-09-18

Consider a 3000 lb car whose speed is increased by 30 mph. Modeling the car as a particle and assuming that the car is traveling on a rectilinear and horizontal stretch of road, determine the amount of work done on the car throughout the acceleration process if the car has an initial speed of 45 mph.

Answer & Explanation

mhalmantus

mhalmantus

Skilled2021-09-19Added 105 answers

Step 1
Thus time the car is travelling but have an initial velocity of 45 mph, so we have now the value for initial velocity. Let's convert all the units to lb, ft, and s.
Given:
W=3000lb
vcreased=30mihr(5280ft1mi)(1hr3600s)=44fts
v1=45mihr(5280ft1mi)(1hr3600s)=66fts
g=32.3fts2 Since the given velocity of 30 mph is the icreased velocity, then this will only add up to the initial velocity and that will be our final velocity.
Step 2
We know that the formula for work done on the system from point 1 to 2 is:
U12=12mv2212mv12
We also know that can get the mass by dividing the weight to gravity:
m=Wg
Step 3
Now let's plug in all the given to the equation, we have:
U12=12(3000lb32.2fts2)(66+44fts)212(3000lb32.2fts2)(66fts)2
U12=36.1×104lb.ft

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?