Given: g=9.81 m/s square.
The parachute on a race car that weighs 8042 N opens at the end of a quarter-mile run when the car is traveling 35 m/s. What net retarding force must be supplied by the parachute to stop the car in a distance of 1020 m? Answer in units of N.
I have no idea what formula I should use or how to solve this problem.
retarding force*distance=Kineticenergyofcar
so it would be:
(retarding force)(1020m)= (1/2)(8042N)(35 m/s)
and the retarding force= 137.98?
You would first find the mass of the car using Weight = m*g
Once you have found the mass, you can solve for "a" in finding Fnet (Fnet= m*a) so (Fnet= 821*a)
Because Fnet= m a you can rearrange the equation and substitute this into the following equation:
(a)
V^2= Vi^2 + 2(Fnet/m)(X)
0 = (35^2) + 2(Fnet/821) (1020)
Therefore the Net Force will be approximately 493 N in the opposing direction. (Because it is an opposing force, the answer will come out negative)
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To solve this problem, we can use the principle of work and energy. The work done by the net retarding force is equal to the change in kinetic energy of the car.
The formula for work is given by:
Work = Force * Distance * cos(θ)
In this case, the net retarding force is acting opposite to the direction of motion, so the angle (θ) between the force and displacement is 180 degrees.
The change in kinetic energy can be calculated using the formula:
∆KE = (1/2) * mass * (final velocity^2 - initial velocity^2)
However, in this case, we are given the weight of the car (8042 N) instead of the mass. To convert weight to mass, we can use the formula:
Weight = mass * gravity
So, mass = Weight / gravity
In this case, gravity (g) is given as 9.81 m/s^2.
Now, let's calculate the mass of the car:
mass = 8042 N / 9.81 m/s^2
Once we have the mass, we can calculate the change in kinetic energy using the given final velocity (35 m/s) and the initial velocity (0 m/s) since the car needs to stop.
∆KE = (1/2) * mass * (35^2 - 0^2)
Now we have the change in kinetic energy, which is equal to the work done by the retarding force. We also have the distance (1020 m) over which the work is done.
Finally, we can rearrange the formula for work to find the net retarding force:
Force = Work / Distance
Keep in mind that the net retarding force will have a negative sign since it opposes the motion of the car.
Now, let's plug in the values and solve for the net retarding force in units of N.