An 1100 kg trailer is hitched to a 3200 kg car. the car and trailer are traveling at 60 km/h when the driver applies the brakes on both the car and trailer.

knowing that the braking forces exerted on the car and the trailer are 3700 n and 800 n respectively, determine

(a) the distance traveled [m] by the car and trailer before they come to stop,

(b) the horizontal component of the force [n] exerted by trailer hitch onto the car.

(a). The distance traveled by the car and trailer before they come to stop is 132.32 m

(b). The horizontal component of the force [N] exerted by trailer hitch onto the car is 2560 N.

Explanation:

Given that,

Mass of trailer = 1100 kg

Mass of car = 3200 kg

Speed of car and trailer = 60 km/h =16.67 m/s

Braking force on the car= 3700 N

Braking force on the trailer = 800 N

We need to calculate the acceleration

Using formula of acceleration

Where, F = total force

m = total mass

Put the value into the formula

(a). We need to calculate the distance traveled by the car and trailer before they come to stop

Using equation of motion

Put the value into the formula

(b). We need to calculate the horizontal component of the force exerted by trailer hitch onto the car

Firstly, we need to calculate the average braking force

Put the value into the formula

We need to calculate the net force on hitch

Hence, (a). The distance traveled by the car and trailer before they come to stop is 132.32 m

(b). The horizontal component of the force [N] exerted by trailer hitch onto the car is 2560 N.

c. magnitude and direction

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

hope this !