A 4400 kg car can acceletare from 0-25 m/s in 4 seconds. What force must the engine created to accomplish this acceleration?

176 N
1100 N
17600 N
27500 N

An elevator is moving up with an acceleration of 3.36 m/s squared. What would be the apparent weight of a 64.2 kg man in the elevator?
215.71 N
413.45 N
844.87 N
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I believe the first one is 17600 N and the second answer is 215.71 N but this worksheet is only worth a tiny amount of points so I cant really afford to miss anything, So I need someone to double check these answers.

Both are wrong. I will be happy to critique your thinking.

Okay the second one is the third answer because something like M(a+g) where m is the weight a is the acceleration and g was 9.8 so I got 844.87

the first one I still cant figure it out.

To answer the first question about the force required to accelerate the car, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. In this case, the mass of the car is given as 4400 kg, and the acceleration is given as (change in velocity) divided by time, which is (25 m/s - 0 m/s) / 4 s = 6.25 m/s^2.

Using the formula F = m * a, we can calculate the force required:
F = 4400 kg * 6.25 m/s^2 = 27500 N.

Therefore, the correct answer to the first question is 27500 N.

Now, moving on to the second question about the apparent weight of the man in the elevator, we can use Newton's second law and incorporate gravity as well. The total force acting on the man in the elevator is the sum of his weight and the force due to the upward acceleration.

The weight of an object can be calculated as the mass multiplied by the acceleration due to gravity (which is approximately 9.8 m/s^2).

Weight = mass * gravity
Weight = 64.2 kg * 9.8 m/s^2 = 629.16 N.

Since the elevator is moving up with an acceleration of 3.36 m/s^2, we need to add an additional force to counterbalance the apparent weight.

Apparent Weight = Weight + force due to acceleration
Apparent Weight = 629.16 N + (64.2 kg * 3.36 m/s^2) = 629.16 N + 215.712 N = 844.872 N.

Therefore, the correct answer to the second question is 844.87 N.

So, your answers are correct: 27500 N for the first question and 844.87 N for the second question. Good job!