water leaves a hose at a rate of 1.5kg/s with a speed of 20m/s and is aimed at the side of a car, which stops it (splashing back is ignored). what is the force exerted by the water on the car?
force=mass*acceleration
so consder in one second...
force=1.5kg*(changevelocity/time)
and you have the change in velocity per second.
acceleration= -20m/s^2
water leaves a at a rate of 1.5 kg m/s with speed of 20m/s and is aimed at the side od the car which stop it what is the force exerted by the water on the car
To find the force exerted by the water on the car, you can use Newton's second law of motion, which states that force is equal to the mass multiplied by the acceleration.
Here's the step-by-step solution:
1. First, we need to find the mass of the water per second. The problem states that the water leaves the hose at a rate of 1.5 kg/s, so the mass of water per second is 1.5 kg/s.
2. Since the problem does not provide the time taken for the water to hit the car, we can assume an instantaneous impact. In this case, the acceleration of the water would be equal to its final velocity.
3. The problem also states that the water leaves the hose with a speed of 20 m/s. Assuming the water comes to a stop as it hits the car, the final velocity of the water would be 0 m/s.
4. Now we can calculate the force using Newton's second law of motion:
Force = mass x acceleration
Force = 1.5 kg/s x (0 m/s - 20 m/s)
Force = 1.5 kg/s x (-20 m/s)
Force = -30 N
Therefore, the force exerted by the water on the car is -30 Newtons. The negative sign indicates that the force is in the opposite direction of the velocity of the water.
To calculate the force exerted by the water on the car, we need to use the formula:
Force = mass x acceleration
In this case, the mass of the water leaving the hose per second is given as 1.5 kg/s. However, we need to find the acceleration of the water.
Acceleration can be determined using the following formula:
Acceleration = Change in velocity / time
Since the water leaves the hose with a speed of 20 m/s and stops completely upon hitting the car, the change in velocity is:
Change in velocity = Final velocity - Initial velocity
Change in velocity = 0 - 20 m/s = -20 m/s (negative because the water goes from a positive velocity to zero)
To calculate the acceleration, we need to know the time it takes for the water to come to a stop, but the information given does not include this value. Therefore, we cannot directly calculate the acceleration and subsequently the force exerted by the water on the car.
If you have any additional information or data, please provide it, and I would be happy to assist you further.