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7 Two People Are Pushing a 1000 Kg Car They Accelerate It from Rest to 3m/s in 5 Seconds. a What Is the Combined Force of the Two

Question

7 Two people are pushing a 1000 kg car They accelerate it from rest to 3m/s in 5 seconds. a What is the combined force of the two people pushing the car? b What assumptions have you made in calculating your answer to part a? c How will the real force from the people needed to produce this acceleration be different to your answer to part a?

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Olwen Elite · Tutor for 8 years

Answer

# Explanation:## Step 1:First, we identify key information from the problem. The car's mass (m) is 1000 kg. It accelerates from rest to a final velocity (v) of 3 m/s over a period of 5 seconds (t). Considering the car starts from rest, the initial velocity (u) will be 0 m/s.## Step 2:We use the formula to calculate acceleration (a), which is ( / ). Plug in the values we already know for v, u, and t.### **\(a = (v - u) / t = (3 m/s - 0 m/s) / 5 s\)**## Step 3:Upon finding the acceleration, we can now calculate the force applied using Newton's second law of motion potentially applied by two people to get the car moving. The formula for force is .### ** **Note a here which will be substiuted after calculation from Step 2.## Assumptions in Solution:1. We assume that the force applied by the two people was constant over the entire duration of the 5 seconds.2. It is also important to factor friction and air resistance are part of the total force needed to get the car to 3m/s.## Differentiation from Actual Result:In the real world, friction and air resistance play vital roles in the application of force towards the speed of an object, they reduce actual force exerted. Hence, more force would probably be needed than the calculated answer. # Answer:## Step 1 Answer:After calculating the acceleration:### ** **## Step 2 Answer:Proceeding to calculate the Force using the value of a:### ** ** From assumption, this is the combined force the people would have to exert under ideal conditions ignoring any resistance. This answer (a) corresponds to the force needed.## The assumptions that were made in calculating your answer to part a are: They are exerting the force consistently during 5 seconds and no other forces are impeding the car's progress.## In reality, the real force exerted by the two people would likely need to be greater than this calculated ideal force due to non-zero friction and air resistance that could not be calculated (answer in part c).