Initially, we need to calculate the acceleration required for the car to halt from its initial speed based on the distance traveled. This can be done using the formula,
2ad = Vf² - Vi²
where a represents acceleration, d is distance, and Vf and Vi are the final and initial speeds respectively. Plugging in the known quantities,
2(a)(35 m) = (0 m/s)² - ((65 km/h) x (1000 m/ 1 km) x (1 hr / 3600 s))²
The resulting acceleration is −4.66 m/s².
To calculate the force required to stop the car, we multiply the mass by the acceleration. This calculation yields -4,660 N, and we take the absolute value, which is 4,660 N.
Response:
The acceleration of car 2 is four times that of car 1.
Rationale:
Centripetal acceleration occurs when an object travels in a circular route. It can be expressed as:
In this scenario, two race cars are moving at consistent speeds around a circular course. Both automobiles are located at an equal distance from the center, but car 2 is operating at twice the speed of car 1.
Thus,
1 and 2 represent the first and second cars, respectively.
Consequently,
Therefore, car 2's acceleration is four times that of car 1.
Answer:
The correct response is:
1. KE Increases, PE Increases, ME Increases.
Explanation:
In this context, kinetic energy refers to the energy associated with an object's motion. Kinetic energy can be defined as the energy required to accelerate a mass from rest to a specified velocity, which it maintains once that speed is reached:
KE = 1/2 mv².
This definition indicates that KE is on the rise.
Potential energy is the energy stored in a body due to its position in a gravitational field:
PE = mgh,
which increases as the object is elevated against gravitational pull.
Since both kinetic and potential energies are increasing, it follows that the total mechanical energy (ME) is also rising:
ME = PE + KE.
