Question

A wheel of mass 100 kg is taking a turn on a smooth banked road of Angle of banking 45°. If radius of curvature of road is 10m. What could be the maximum speed of the vehicle? Take (g=10ms-²)

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Answer 1

Answer:

Given that radius r=30m and θ=30

o

The maximum speed on car can be driven safely along the curve is given by

⟹v=

rgtanθ

=

30×9.8×tan(30

o

)

=

30×9.8×

3

1

=

98

3

=13.03m/s

Answer 2

Given :

Molar mass = 200 g

Mass = 5 g

To find :

Volume of 5g substance at NTP

Solution :

First , we need to find the moles of the gaseous substance .

As per the formula ,

$\implies\mathtt{ moles = mass / molar\: mass}$

⇒ moles = 5 / 200

⇒ moles = 1 / 40

⇒ moles = 0.025

As per the relation ,

$\implies \mathtt{moles = volume / 22.4 L (NTP )}$

⇒ volume = moles x 22.4

⇒ volume = 0.025x 22.4

⇒ volume = 0.56 L

The volume of the substance at NTP is 0.56 L .