Equations of Motion - NEET Physics Questions
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Equations of Motion

Question 1:

The velocity of a body of mass 20 kg decreases from 20 ms–¹ to 5 ms–¹ in a distance of 100 m. Force on the body is

1. –27.5 N
2. –47.5 N
3. –37.5 N
4. –67.5 N
View Answer

We can use the work-energy principle to find the force.

Given:
- Initial velocity, \( u = 20 \, \text{m/s} \)
- Final velocity, \( v = 5 \, \text{m/s} \)
- Distance, \( s = 100 \, \text{m} \)
- Mass, \( m = 20 \, \text{kg} \)

Using the equation of motion:
\[
v^2 = u^2 + 2as
\]
\[
(5)^2 = (20)^2 + 2a(100)
\]
\[
25 = 400 + 200a
\]
\[
200a = -375 ;a = -\frac{375}{200} = -1.875 \, \text{m/s}^2
\]

Now, force \( F = ma \):
\[
F = 20 \times (-1.875) = -37.5 \, \text{N}
\]

Thus, the force on the body is -37.5 N (opposite to the direction of motion).

Question 2:

A car travelling with a velocity of 90 km/h slowed down to 54 km/h in 15 s. The retardation is

1. 0.67 m/s²
2. 1 m/s²
3. 1.25 m/s²
4. 1.5 m/s²
View Answer

Using the formula

a=vfvita = \frac{v_f - v_i}{t}

:

Converting to m/s:

9090

km/h =

2525

m/s,

5454

km/h =

1515

m/s.

 

a=152515=1015=0.67 m/s2a = \frac{15 - 25}{15} = \frac{-10}{15} = -0.67 \text{ m/s}^2

 

Retardation = 0.67 m/s².

Question 3:

A person driving a car with a speed 54 km/h, suddenly sees a boy crossing the road. If the distance moved by car, before the person applies brakes is 5 m, the reaction time of the person is

1. 0.5 sec
2. 0.66 sec
3. 0.33 sec
4. 1 sec
View Answer

Using

time=svt = \frac{s}{v}

, with

v=54v = 54

km/h = 15 m/s and

s=5s = 5

m:

 

t=515=0.33 st = \frac{5}{15} = 0.33 \text{ s}

 

Reaction time = 0.33 s.

Question 4:

When a car is stopped by applying brakes, it stops after travelling a distance of 80 m. If speed of car is halved and same retarding acceleration is applied then it stops after travelling a distance of

1. 20 m
2. 50 m
3. 75 m
4. 100 m
View Answer

Using the stopping distance formula:

 

su2s \propto u^2

 

If speed is halved, new stopping distance:

 

s2=804=20 ms_2 = \frac{100}{4} = 25 \text{ m}