Advertisements
Advertisements
प्रश्न
Derive the unit of force using the second law of motion. A force of 5N produces an acceleration of 8 m s–2 on a mass m1 and an acceleration of 24 m s–2 on a mass m2. What acceleration would the same force provide if both the masses are tied together?
उत्तर
Using the relationship F = ma
If m is measured in kg and a is measured in ms−1
Then the unit of force is kg ms−2
1 kg ms−2 = 1 N
F = 5N, a1 = 8 ms−2 , a2 = 24 ms−2
∴ `"m"_1 = "F"/"a"_1 = 5/8 "kg"` and `"m"_2 = "F"/"a"_2 = 5/24 "kg"`
Now, total mass when both the masses are tied together,
m = m1 + m2 = `(5/8 + 5/24) "kg"`
= `((15 + 5)/24) "kg" = 20/24 "kg" = 5/6 "kg"`
∴ Acceleration, a = `"F"/"m" = 5/(5//6) = 6"ms"^-2`
APPEARS IN
संबंधित प्रश्न
The separation between two masses is reduced to half. How is the magnitude of the gravitational force between them affected?
Give one example in the given cases:-
A force moves a stationary body
Newton's second law of motion applicable in all condition is:
(a) `F = (Δp)/(Δt)`
(b) F = ma
(c) `F = M (Δv)/(Δt)`
(d) all three
A cricket ball of mass 100 g strikes the hand of a player with a velocity of 20 ms-1 and is brought to rest in 0.01 s calculate
1) the force applied by the hand of the player.
2) the acceleration of the ball
A body is acted upon by two forces of magnitude F, but in opposite directions. State the effect of the force if the two forces act at two different points of the body at a separation r.
A man can open a nut by applying a force of 150 N by using a lever handle of length 0.4 m. What should be the length of the handle if he is able to open it by applying a force of 60 N?
A mechanic unscrew a nut by applying a force of 140 N with a spanner of length 40 cm. What should be the length of the spanner if a force of 40 N is applied to unscrew the same nut?
In ‘tug of war’ when two teams pull equally hard, then what happens?
Can you lift or push a book lying on a table without touching it?
Write true and false.
If mass increases, force decreases.
