Which object exerts more gravitational force, object A with a mass of 15 grams and a density of 2g/cm3 or object B with a mass o
1 answer:
You might be interested in
Answer:
The resultant displacement is 5.8 cm, 31° South of the West axis ⇒ 4th
answer
Explanation:
<u><em>A resultant vector</em></u> is the combination of two or more single vectors
If the two vectors are perpendicular, then
<em><u>The magnitude</u></em> of the resultant vector = ,where
x represents the horizontal vector and y represents the vertical vector
<em><u>The direction</u></em> of the resultant vector is , where α
is the angle between the horizontal vector and the resultant vector
Vector 1 is 5 cm due to West-axis
Vector 2 is 3 cm due to South-axis
We need to find the resultant displacement of them
The West and South are perpendicular
The West is the horizontal vector and South is the vertical vector
The magnitude of the resultant displacement s is:
The direction of the resultant displacement s is:
° south of the west (between the west and
the resultant displacement)
<em>The resultant displacement is 5.8 cm, 31° South of the West axis</em>
The height of the building is 53.4 m (projectile motion)
Explanation:
The motion of the ball is a projectile motion, so it follows a parabolic path which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
First of all, we consider the horizontal motion, which is a uniform motion at constant speed. The equation that gives the horizontal distance travelled is:
where:
is the horizontal velocity of the ball, which is constant since there are no forces in this direction
d = 165 m is the horizontal distance travelled by the ball
Solving for t, we find the time of flight:
Now we analyze the vertical motion: it is an accelerated motion, we can use the suvat equation
where
s is the vertical displacement, which is the height of the building
u = 0 is the initial vertical velocity of the ball
t = 3.3 s is the time of flight
is the acceleration of gravity
Solving for s, we find the height of the building:
Learn more about projectile motion here:
#LearnwithBrainly