1. The result of difference of two forces 1N each acting on a body can be (in newton) (b) 2 (c) 1 (d) 2 sin(0/2) (a) O
2. A body is projected from the ground at angle of 30°. At the highest position of the projectile motion, the angle between velocity and acceleration of the body is (a) 00 (b) 450 (c) 90° (d) 180°
3. A force of 20 N is acting on 10 kg box to make it move on a straight horizontal road with a constant speed. The acceleration produced in the box is (a) 0 (b) 2 ms (c) 0.5 ms? (d) 200 ms
4. The escape velocity of a man on the earth surface is (a) 1.12 km/s (b) 11.2 m/s (c) 11.2 Km/s (d) 17.0 Km/s
5. A ball accelerates at rate of 4 ms - from the rest and the retards at 3 ms to come to rest. If the total time taken is 7 seconds, its total displacement is (a) 0 m (b) 42 m (c) 21 m (d) 84 m
6. Which mirror is used in the rear view of a vehicle? (a) plane mirror (b) concave mirror (C) convex mirror (d) elliptical mirror
Answers
1. (a) 0
6. Convex mirrors
4. 11.2 km/s
Answer:
1. The required result will be = 0 N
2. The answer is = 90°
3. The acceleration produced in the box = 2 m/s²
4. The escape velocity will be = 11.2 km/s
5. the total displacement = 84m
6. The required answer is Convex Mirror.
Explanation:
For solution 1,
It is given that both the forces are of 1N each.
Let F₁ be one force and F₂ be the another force, so the result of the difference between these two forces will be = Fnet = F₁ - F₂ = 1 - 1 = 0N
For solution 2,
It is said that the body is projected at an angle of 30°
But we know that at the highest point the angle between the acceleration and the velocity of hat particular body is always 90°, because the vertical component at the peak is of velocity is always 0.
For solution 3,
It is given to us that the Force, F = 20N
mass, m = 10kg
Therefore we know that the acceleration, a = = 20/10 = 2m/s²
For solution 4,
the escape velocity will always be nearly equal to 11.2 km/s, because the original escape velocity = 11.186 km/s
It comes from the formula : v² =
where v = escape velocity
G = gravitational constant = 6.67 x 10⁻¹¹ m³kg⁻¹s⁻²
M = mass of the body
d = radius
For solution 5,
it is given that the acceleration = 4m/s² and retardation = 3 m/s²
let the time be t₁ and t₂ for acceleration and retardation respectively.
therefore,
t₁ = =
=
t₂ = =
=
According to the question,
total time = 7
or, t₁ + t₂ = 7
or, +
= 7
or, v = 12 m/s
Since we need to find the displacement,
so, we know that S = vt
where S = displacement
v = velocity
t = time
Therefore, S = 7 x 12 = 84m
For solution 6,
Convex mirror is used as rear view mirror since they give erect images and also has a clear view of the curved surfaces.
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