Question

1.a car moves with constant speed of 10 m/s in a circular path of radius 10 m. the mass of the car is 1000 kg. who or what is providing the required centripetal force for the car ? how much is it ?

2. the bob of the pendulum of length 1m has mass 100g and a speed of 1.4 m/s at the lowest point in its path. find the tension in the string at this moment.

Answer 1

1.  The centripetal force is provided by the engine which supplies energy to the wheels and creates momentum.
Centripetal force = $\frac{mv^2}{r}$
Centripetal force = 1000 × 10² ÷ 10
Centripetal force = 10000N
2.  T - mg = mv² ÷ r
T = mv² ÷r + mg
T= 0.1kg × 1.4² ÷1 + 0.1 × 10
T = 0.1 × 1.96 + 1
T = 0.196 + 1
T = 1.196N

Answer 2

Answer:

Centripetal force, F=10^4\ NF=10

4

N

Explanation:

Given that,

Speed of the car, v = 10 m/s

Radius of the circular path, r = 10 m

Mass of the car, m = 1000 kg

Let F is the centripetal force required for this car. Mathematically, it is given by :

F=\dfrac{mv^2}{r}F=

r

mv

2

F=\dfrac{1000\times (10)^2}{10}F=

10

1000×(10)

2

F=10^4\ NF=10

4

N

So, the centripetal force required for this car is 10^4\ N10

4

N . Hence, this is the required solution.