If a car of mass 900 kg stops from a speed of 90kmph in just 10 seconds, then the force responsible for stopping the car is _______ (in N)
Answers
Answer:
i think the answer will be 18000
Explanation:
pls check the answer of other people's
Answer :
➥ The force responsible for stopping the car = 2250 N
Given :
➤ Mass of a car = 900 kg
➤ Initial velocity of a car = 0 m/s
➤ Final velocity of a car = 90 km/hr
➤ Time taken by a car = 10 sec
To Find :
➤ Force responsible for stopping the car = ?
Required Solution :
✒ To find the force responsible for stopping the car, first we need to convert the final velocity of a car km/hr to m/s to convert the final velocity km/hr to m/s multiply the speed of value by 5/18, after we need to find the acceleration of a car, After all this we wil find the force responsible for stopping the car.
◈ Final velocity = 90 km/hr
→ Final velocity = 90 × 5/18
→ Final velocity = 450/18
→ Final velocity = 25 m/s
Now, we have Mass and Acceleration of a car,
- Final velocity of a car = 25 m/s
- Initial velocity of a car = 0 m/s
- Time taken by a car = 10 sec
We can find Acceleration of a car by using the first equation of motion which says v = u + at,
Here,
- v is the Final velocity in m/s.
- u is the Initial velocity in m/s
- a is the Acceleration in m/s².
- t is the Time taken in second.
✎ So let's calculate Acceleration (a) !
⇒ v = u + at
⇒ 25 = 0 + a × 10
⇒ 25 = 0 + 10a
⇒ 25 - 0 = 10a
⇒ 25 = 10a
⇒ 25/10 = a
⇒ 2.5 = a
⇒ a = 2.5 m/s²
Now, we have Mass and Acceleration of a car,
- Mass of a car = 90 kg
- Acceleration of a car = 2.5 m/s²
We can find force responsible for stopping the car by using the formula of force which says F = ma
Here,
- F is the Force in N.
- m is the mass in kg.
- a is the Acceleration in m/s².
✎ So let's find Force (F) !
⇛ F = ma
⇛ F = 900 × 2.5
⇛ F = 2250 N
║Hence, the force responsible for stopping the car is 2250 N.║