Answer:
Explanation:
Given that:
mass of stone (M) = 0.100 kg
mass of bullet (m) = 2.50 g = 2.5 ×10 ⁻³ kg
initial velocity of stone (
) = 0 m/s
Initial velocity of bullet (
) = (500 m/s)i
Speed of the bullet after collision (
) = (300 m/s) j
Suppose we represent
to be the velocity of the stone after the truck, then:
From linear momentum, the law of conservation can be applied which is expressed as:





∴
The magnitude now is:


Using the tangent of an angle to determine the direction of the velocity after the struck;
Let θ represent the direction:


Answer:
Explanation:
To convert gram / centimeter³ to kg / m³
gram / centimeter³
= 10⁻³ kg / centimeter³
= 10⁻³ / (10⁻²)³ kg / m³
= 10⁻³ / 10⁻⁶ kg / m³
= 10⁻³⁺⁶ kg / m³
= 10³ kg / m³
So we shall have to multiply be 10³ with amount in gm / cm³ to convert it into kg/m³
2.33 gram / cm³
= 2.33 x 10³ kg / m³ .
Answer:
6.0 m below the top of the cliff
Explanation:
We can find the velocity at which the ball dropped from the cliff reaches the ground by using the SUVAT equation

where
u = 0 (it starts from rest)
g = 9.8 m/s^2 (acceleration of gravity, we assume downward as positive direction)
h = 24 m is the distance covered
Solving for h,

So the ball thrown upward is launched with this initial velocity:
u = 21.7 m/s
From now on, we take instead upward as positive direction.
The vertical position of the ball dropped from the cliff at time t is

While the vertical position of the ball thrown upward is

The two balls meet when

So the two balls meet after 1.11 s, when the position of the ball dropped from the cliff is

So the distance below the top of the cliff is

C. A narrow wind complains all day.
Personification is a figure of speech wherein animals, objects, and ideas are given human traits or characteristics.
The narrow wind, which is an unseen object, was given a human trait which is complains.