What is the force exerted on a car and driver during acceleration?

[Brittykitty]

A 950 kg car starts from rest and reaches a velocity of 50.0 km/h in 8.50 s. If the driver has a mass of 75.0 kg, what force is exerted on the car and driver during this time interval?

I am very confused on this question. I was thinking:

950kg+750.kg=1025
50.0/3.6 =13.88 +8.5 = 22.38s

1025/22.38 ... but obviously all of that is wrong seeing as how it doesn't give me any of answers I can choose from :( help! what am i doing wrong

 

[PhanthomJay]

A 950 kg car starts from rest and reaches a velocity of 50.0 km/h in 8.50 s. If the driver has a mass of 75.0 kg, what force is exerted on the car and driver during this time interval?

I am very confused on this question. I was thinking:

950kg+750.kg=1025

the mass of the car and driver is 1025 kg, OK

50.0/3.6 =13.88

please watch your units, 13.88 m/s is the velocity of the car after 8.5 seconds, then its acceleration is v/t, not v + t, and

1025/22.38

Where does this this formula come from? Please write out your relevant equations.

 

[kerimek]

Firstly, it is important to clarify that the units for mass should be in kilograms (kg) rather than kilometers (km). With that being said, let's approach this question step by step.

The force exerted on an object is equal to its mass multiplied by its acceleration. In this case, the car's mass is 950 kg and it goes from rest to a final velocity of 50 km/h in a time interval of 8.50 seconds. We need to convert the final velocity to meters per second (m/s) since the standard unit for acceleration is meters per second squared (m/s^2). So, 50 km/h is equivalent to 13.89 m/s (50 km/h divided by 3.6).

Next, we can calculate the acceleration of the car using the formula acceleration = (final velocity - initial velocity)/time. Since the car starts from rest, its initial velocity is 0 m/s. Therefore, the acceleration is (13.89 m/s - 0 m/s)/8.50 s = 1.63 m/s^2.

Now, we can calculate the force exerted on the car using the formula force = mass x acceleration. So, the force exerted on the car is 950 kg x 1.63 m/s^2 = 1553.5 N.

Finally, we also need to consider the force exerted on the driver. The driver's mass is 75 kg and they are also experiencing the same acceleration as the car. Therefore, the force exerted on the driver is 75 kg x 1.63 m/s^2 = 122.3 N.

In conclusion, the total force exerted on the car and driver during the acceleration is 1553.5 N + 122.3 N = 1675.8 N.