A force of 1.0 N acts on a body at rest and covers 100 cm in 4 seconds moving along a straight line. The mass of the body is
(a) 2 kg
(b) 4 kg
(c) 6 kg
(d) 8 kg
Answers
Given:-
- Force acting on Body = 1N
- Initial Velocity of Body = 0m/s
- Distance Covered = 100cm = 1m
- Time taken = 4s.
To Find:-
- The mass of the Body.
Formulae used:-
- S = ut + ½ × a × t²
- F = ma
Where,
- S = Distance
- u = Initial Velocity
- t = Time
- a = Acceleration
- F = Force
- m = Mass
Now,
→ S = ut + ½ × a × t²
→ 1 = (0)(4) + ½ × a × (4)²
→ 1 = 0 + ½ × a × 16
→ 1 = 8a
→ 1/8 = a
→ a = 0.125m/s²
Now Again,
→ F = ma
→ 1 = m × 0.125
→ 1 = 0.125m
→ m = 1/0.125
→ m = 8kg
Hence, The mass of the Body is 8kg.
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Given:-
Force acting on Body = 1N
Initial Velocity of Body = 0m/s
Distance Covered = 100cm = 1m
Time taken = 4s.
To Find:-
The mass of the Body.
Formulae used:-
S = ut + ½ × a × t²
F = ma
Where,
S = Distance
u = Initial Velocity
t = Time
a = Acceleration
F = Force
m = Mass
Now,
→ S = ut + ½ × a × t²
→ 1 = (0)(4) + ½ × a × (4)²
→ 1 = 0 + ½ × a × 16
→ 1 = 8a
→ 1/8 = a
→ a = 0.125m/s²
Now Again,
→ F = ma
→ 1 = m × 0.125
→ 1 = 0.125m
→ m = 1/0.125
→ m = 8kg
Hence, The mass of the Body is 8kg.