Question

A motorcycle is moving with a velocity of 90 km h^-1 and it takes 5 seconds to stop after the brakes are
applied. Calculate the force exerted by the brakes on the motorcycle if its mass along with the rider is 200 kg.​

Answer 1

Answer:

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Questiong ⤵

A motorcycle is movging with a velocity of 90 km h^-1 and it takes 5 seconds to stop after the brakes are applied. Calculate the force exerted by the brakes on the motorcycle if its mass along with the rider is 200 kg

Answer ⤵

Given

➡initial velocity u=90km/h or 90×5/18=25m/s

➡final velocity v=0m/s

t=5s

➡mass m=200kg

to ask

➡force exerted by brakes f

➡first we find out acceleration a

$by \: using \: 1st \: eqution \: of \: motion \\ a = \frac{v - u}{t} \\ a = \frac{0 - 25}{5} \\ a = \frac{ - 25}{5} \\ a = ( - 5)m {s}^{ - 2} \\ now \: using \: f = ma \\ f = 200kg \times ( - 5)m {s}^{ - 2} \\ f = ( - 1000)kgm {s}^{ - 2} \\ or \: f = ( - 1000)newton$

Note: Here negative force is the symbol of retardation. Breakes applies opposite force by which the motorcycle is stop. Force applied by brakes is opposite direction so force is negative.

when motorcycle is moving with a velocity of 90 km h^-1 and it takes 5 seconds to stop after the brakes are applied. if its mass along with the rider is 200 kg. Then the force exerted by the brakes on motorcycles is (-1000) N.

Hope this is helpful to you!

Answer 2

Answer:

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Explanation:

Answer:

Given :-

A motorcycle is moving with a velocity of 90 km/h and its takes 5 seconds to stop after the brakes are applied and its mass along the rider is 200 kg.

To Find :-

How much force exerted by the brakes on the motorcycle.

Formula Used :-

❶ To find acceleration we know that,

✦ a = v - u/t ✦

where,

v = Final velocity

u = Initial velocity

a = Acceleration

t = Time

❷ To find force we know that,

❖ F = ma ❖

where,

F = Force

m = Mass

a = Acceleration

Solution :-

❶ First we have to find the acceleration,

Given :

v = 0 m/s

u = 90 km/h = 90 × 5 ÷ 18 m/s = 25 m/s

t = 5 seconds

According to the question by using the formula we get,

⇒ a = 0 - 25/5

⇒a = - 25/5

➠ a = - 5 m/s²

Hence, acceleration is - 5 m/s² .

❷ Now we have to find the force,

We get,

Mass = 200 kg

Acceleration = - 5 m/s

According to the question by using the formula we get,

↦ F = 200 × - 5

➥ F = - 1000 N

∴ The force exerted by the brakes on the motorcycle is - 1000 N .