Answer: 20.4m
Explanation:
Mass = 0.145kg
Initial velocity, Vi =20m/s
Initial kinetic energy K =1/2mv^2
Initial potential energy Ui = mgx = 0joules
: From conservation of energy,
Uf + Kf = Ui + Ki ( where f represent (final) )
Thus
mgXf + 0 = 0+1/2 mv^2
Xf = Vi^2/ 2g
= (20m/s) ^2/ 2(9.81m/s)^2
=20.4m
As per the question there are two physical quantities i.e scalar quantity and vector quantity.
A scalar is a physical quantity which requires only magnitude.It does not require any direction for it's complete specification.For instance we may take distance travelled,speed etc.
Unlike a scalar quantity,a vector quantity requires both magnitude as well as direction for it's complete specifications.For instance we may take displacement which is the shortest distance between two points,the velocity which is the speed in a given direction.
Hence a vector and scalar is differentiated by direction.
As per the question,the correct option will be the third option i.e C.
Carlita is right.As per her, both vector and scalar have magnitude,but only vectors have direction which is also true.
Answer:
4.17 m/s
Explanation:
To solve this problem, let's start by analyzing the vertical motion of the pea.
The initial vertical velocity of the pea is

Now we can solve the problem by applying the suvat equation:

where
is the vertical velocity when the pea hits the ceiling
is the acceleration of gravity
s = 1.90 is the distance from the ceiling
Solving for
,

Instead, the horizontal velocity remains constant during the whole motion, and it is given by

Therefore, the speed of the pea when it hits the ceiling is

Let the two masses be m₁ and m₂ kg.
Because their combined mass is 4.40 kg, therefore
m₁ + m₂ = 4.4 (1)
The force of attraction between the masses, when separated by d = 0.25 m, is
F = 2.5 x 10⁻¹⁰ N.
According to Newton's Law of gravitational attraction,

where
G = 6.673 x 10⁻¹¹ (N-m²)/kg²
Therefore

m₁m₂ = 0.2342 (2)
That is,
m₂ = 0.2342/m₁ 3)
Substitute (3) into (1).
m₁ + 0.2342/m₁ = 4.4
m₁² + 0.2342 = 4.4m₁
m₁² - 4.4m₁ + 0.2342 = 0
Solve with the quadratic formula.
m₁ = 0.5[4.4 +/- √(18.423 )]
= 4.346 or 0.0539 kg
When m₁ = 4.346, then m₂ = 0.2342/4.346 = 0.0539
When m₁ = 0.0539, then m₂ = 0.2342/0.0539 = 4.346
Answer: 4.346 kg and 0.054 kg